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JPy '3a$B]Є yýtĊR(*ћ,aq*( h&iB.#ZvhbQ/fT^ YTD /6ݡO4 a~!5![q#!dM 1Y D; 25 4 :c.$.program_files.research_machines.easiteach.multimedia.characters.swing/gif 1206 4 y 0 0 GIF89aPmh0 ` p(!,PmIH荻`X Fb늪$oTפ+-3:1DIiPfnRU8cv$PvZrݰP^Ux R{|S@)/~si|~u_rNUe6x~Eļ;կ~:6T۷8j@ן#P˲m%|HJ? jĒ4khiǍ*q.b #YgҾw\ݸ쳺^;{*(* {xSvVׂ=.3zV; 25 5 :c.$.program_files.research_machines.easiteach.multimedia.characters.squirt/gif 1377 4 y 0 0 GIF89aPqP@0ظpXpА`!,PqI؅̻ l]#ږ.+g%`8m[ lpxIY جcrҚCY;dd 4ؕGl{[wttJ:khr|BJ?QmkgsdH#sxX}WkHknXW [\%g lȱWᰫ 軪#ZYȰbl µ: (>:s^d/@u KMV="{o"t ,JIyMGZKbO0%/G 5iHOQ$#4!h(LiSi` J@柙U.*䤴h`s ;Ѵ[&h*,ܷmy 65*I ,J V|ꢓ,ʅ1$0sKR#p#;@Ĵ˃̄F5 @TռuK˷qÅZhֹntv!)-D޽7zhK}f_eH[m'|Gs ` hGE(Q8hB]!' R@y!B+*wqmcP"om:vY+ UTd!SqƄ+vTvZ`R9gaF~l9ɐ< l ؜TEI.)י~eQ$yyyV ip٨m^䓚YfTz:j ʩYHtjܦ4:%)Z'kM묿JDʦgz,BaۭVqi6)Lj,_r ז른vNku2&~J-U(BKzNn{mzjPKp3K,PL 30#\)\&+r4YQl5<1 multiply the probabilities 16 0 412000 48 55 -15 0 1 0 16 49 472000 51 55 -15 0 1 0 16 101 299200 36 55 -15 0 1 0 23 4 0 01A80000 23 35 0 US_English 23 5 0 00000530 23 4 20 FF702800 23 4 70 00000000 23 4 89 FF702800 15 45 1191 -221 -603 0 yyyayg 51 -283 Easiteach 129 2 n 0 nny 0 16777248 0 0 0 0 0 0 0 e.g probability of throwing a six is probability of flipping a head is probability of throwing a six and flipping a head 16 0 320000 36 55 -15 0 1 0 16 37 0 0 55 -15 0 1 0 16 38 322800 38 55 -15 0 1 0 16 77 0 0 55 -15 0 1 0 16 78 447200 49 55 -15 0 1 0 16 128 42519 1 55 -15 0 1 0 23 4 0 00588800 23 35 0 US_English 23 5 0 0000052E 23 4 38 01A80000 23 4 78 FFFFFFFF 23 4 92 00588800 23 4 107 01A80000 23 4 108 FFFFFFFF 23 4 112 01A80000 48 910 927 -350 -443 0 nyynyg 3 n 30 |Comic_Sans_MS| |2| |1| |0| 27787264 1 0 48 895 913 -223 -316 0 nyynyf 4 n 30 |Comic_Sans_MS| |6| |1| |0| 939567104 1 0 48 806 824 -552 -645 0 nyynyf 5 n 30 |Comic_Sans_MS| |6| |1| |0| 939567104 1 0 15 685 1070 -549 -631 0 yyyaye 691 -611 Easiteach 22 6 n 0 nny 0 16777248 0 0 0 0 0 0 0 = x = 16 0 146800 22 55 -15 0 1 0 23 35 0 US_English 23 5 0 00000312 48 1093 1129 -549 -643 0 nyynye 7 n 30 |Comic_Sans_MS| |12| |1| |0| 0 1 0 48 938 956 -543 -635 0 nyynyd 8 n 30 |Comic_Sans_MS| |2| |1| |0| 27787264 1 0 19 630 1196 -543 -678 0 yyyyyc Outline 9 n 0 n 0 0 0 0 24 5 00000001 24 2 00000079 24 1 00ffff00 19 873 948 -217 -324 0 yyyyyb Outline 10 n 0 n 0 0 0 0 24 5 00000001 24 2 00000079 24 1 00ffff00 19 888 968 -347 -451 0 yyyyyb Outline 11 n 0 n 0 0 0 0 24 5 00000001 24 2 00000079 24 1 00ffff00 15 54 819 -706 -788 0 yyyayb 60 -768 Easiteach 33 12 n 0 nny 0 16777248 0 0 0 0 0 0 0 ... and it works for decimals too 16 0 293600 33 55 -15 0 1 0 23 35 0 US_English 23 5 0 00000530 15 152 1399 -779 -1041 0 yyyyyb 158 -841 Easiteach 136 13 n 0 nny 0 16777248 0 0 0 0 0 0 0 probability of hitting a 20 in darts = 0.12 probability of flipping 2 heads = 0.25 probability of a 20 and 2 heads = 0.12 x 0.25 = 0.03 16 0 388800 43 55 -15 0 1 0 16 44 348000 38 55 -15 0 1 0 16 83 0 0 55 -15 0 1 0 16 84 488800 52 55 -15 0 1 0 23 4 0 FF702800 23 35 0 US_English 23 5 0 0000050B 23 4 44 3800A800 23 4 83 FFFFFFFF 23 4 98 FF702800 23 4 104 FFFFFFFF 23 4 108 3800A800 23 4 115 FFFFFFFF 23 4 118 FF702800 23 4 122 FFFFFFFF 23 4 125 3800A800 23 4 130 FFFFFFFF 19 18 1452 -722 -1038 0 yyyyya Outline 14 n 0 n 0 0 0 0 24 5 00000001 24 2 00000079 19 0 0 2000 2000 0 yyyyy` Outline 15 n 0 n 0 0 0 0 24 5 00000001 24 2 00000079 24 1 00ffff00 19 1067 1483 -214 -451 0 yyyyy` Outline 16 n 0 n 0 0 0 0 24 5 00000005 24 2 00000079 24 1 48c8ff00 15 1086 1485 -211 -435 0 yyyay_ 1092 -264 Easiteach 69 17 n 0 nny 0 16777248 0 0 0 0 0 0 0 means the result of one event does not effect the result of the other 16 0 131600 16 47 -12 0 1 0 16 17 138800 17 47 -12 0 0 0 16 35 114800 14 47 -12 0 0 0 16 50 149600 19 47 -12 0 0 0 23 5 0 00000183 23 8 0 00000011 23 35 0 US_English 18 902 1089 -157 -236 0 yyyyy^ Outline 1085 -232 906 -163 18 n 0 n 0 24 6 00000001 24 5 00000005 24 2 00000079 59 10 None nnnnn None 0 None None -1 0 n 0 0 0 0 10 0 0 0 0 0 0 None 0 59 11 None nnnnn None 0 None None -1 0 n 0 0 0 0 11 0 0 0 0 0 0 None 0 59 9 None nnnnn None 0 None None -1 0 n 0 0 0 0 9 0 0 0 0 0 0 None 0 59 14 None nnnnn None 0 None None -1 0 n 0 0 0 0 14 0 0 0 0 0 0 None 0 13 0 -1065 1494 0 E:\Year_12\Statistics\probability\probability.et nnyn 45 0 1 0 0 1 0 0 n 0 0 FFFFFF00 n 0 65536 0 0 00000000 0 0 0 0 0 UK_English 3 0 0 -1 -1 -1 0 0  0 0 0 0 8 0 0 0 0 0 0 0 85 Round l Wingdings -2147483648 100 85 Roman I TimesNewRoman 0 100 85 Number 1. TimesNewRoman 0 100 85 Letter (a) CourierNew 0 80 85 Diamond t Wingdings 0 100 85 Star Wingdings 0 100 85 Flower | Wingdings 65280 100 85 Hand F Wingdings -2147483648 100 85 Note ! Wingdings -2147483648 100 15 107 1036 -51 -133 0 yyyyyg 113 -113 Easiteach 41 1 n 0 nny 0 16777248 0 0 0 0 0 0 0 Complete the table of probabilities ..... 16 0 360400 41 55 -15 0 1 0 23 4 0 00588800 23 35 0 US_English 23 5 0 00000538 15 965 1474 -535 -651 0 yyyayg 971 -586 Easiteach 53 2 n 0 nny 0 16777248 0 0 0 0 0 0 0 Another team not winning the Premiership 16 0 195200 25 44 -12 0 1 0 16 26 176000 27 44 -12 0 1 0 23 8 0 00000010 23 5 0 00000464 23 35 0 US_English 15 977 1412 -369 -485 0 yyyayf 983 -420 Easiteach 46 3 n 0 nny 0 16777248 0 0 0 0 0 0 0 Man Utd not winning the Premiership 16 0 155600 20 44 -12 0 1 0 16 21 166400 25 44 -12 0 1 0 23 4 0 3800A800 23 8 0 00000010 23 5 0 00000464 23 35 0 US_English 15 968 1379 -217 -333 0 yyyaye 974 -268 Easiteach 44 4 n 0 nny 0 16777248 0 0 0 0 0 0 0 Chelsea not winning the Premiership 16 0 148800 20 44 -12 0 1 0 16 21 156800 23 44 -12 0 1 0 23 4 0 FF702800 23 8 0 00000010 23 5 0 00000464 23 35 0 US_English 33 725 954 -200 -679 0 yyyyyd Outline 26 8 5 n 0 n 0 0 0 YY 7 7 43 5 00000001 18 942 968 -201 -678 0 yyyyyd Outline 954 -201 956 -678 6 n 0 n 0 24 5 00000001 24 2 00000079 33 826 850 -203 -682 0 yyyyyd Outline 7 2 7 n 0 n 0 0 0 FVF5 43 5 00000001 15 736 829 -215 -297 0 yyyayd 742 -277 Easiteach 3 8 n 0 nny 0 16777248 0 0 0 0 0 0 0 0.6 16 0 30000 3 55 -15 0 1 0 23 35 0 US_English 23 5 0 000002B9 15 724 848 -385 -467 0 yyyayd 730 -447 Easiteach 4 9 n 0 nny 0 16777248 0 0 0 0 0 0 0 0.25 16 0 42400 4 55 -15 0 1 0 23 35 0 US_English 23 5 0 0000024C 15 79 695 -228 -296 0 yyyayc 85 -279 Easiteach 31 10 n 0 nny 0 16777248 0 0 0 0 0 0 0 Chelsea winning the Premiership 16 0 238000 31 44 -12 0 1 0 23 4 0 FF702800 23 8 0 00000010 23 35 0 US_English 23 5 0 00000464 15 77 713 -392 -460 0 yyyayc 83 -443 Easiteach 31 11 n 0 nny 0 16777248 0 0 0 0 0 0 0 Man Utd winning the Premiership 16 0 244800 31 44 -12 0 1 0 23 4 0 3800A800 23 8 0 00000010 23 5 0 00000464 23 35 0 US_English 15 3 736 -553 -621 0 yyyayc 9 -604 Easiteach 36 12 n 0 nny 0 16777248 0 0 0 0 0 0 0 Another team winning the Premiership 16 0 284400 36 44 -12 0 1 0 23 8 0 00000010 23 5 0 00000464 23 35 0 US_English 15 726 850 -557 -639 0 yyyayc 732 -619 Easiteach 4 13 n 0 nny 0 16777248 0 0 0 0 0 0 0 0.15 16 0 42400 4 55 -15 0 1 0 23 35 0 US_English 23 5 0 00000534 15 838 962 -558 -640 0 yyyayc 844 -620 Easiteach 4 14 n 0 nny 0 16777248 0 0 0 0 0 0 0 0.85 16 0 42400 4 55 -15 0 1 0 23 35 0 US_English 23 5 0 0000052E 15 840 964 -387 -469 0 yyyayb 846 -449 Easiteach 4 15 n 0 nny 0 16777248 0 0 0 0 0 0 0 0.75 16 0 42400 4 55 -15 0 1 0 23 35 0 US_English 23 5 0 000001C4 15 852 945 -217 -299 0 yyyaya 858 -279 Easiteach 3 16 n 0 nny 0 16777248 0 0 0 0 0 0 0 0.4 16 0 30000 3 55 -15 0 1 0 23 35 0 US_English 23 5 0 000002A3 19 839 954 -519 -679 0 yyyyya Outline 17 n 0 n 0 0 0 0 24 5 00000001 24 2 00000079 19 725 839 -521 -679 0 yyyyya Outline 18 n 0 n 0 0 0 0 24 5 00000001 24 2 00000079 19 839 953 -357 -519 0 yyyyy` Outline 19 n 0 n 0 0 0 0 24 5 00000001 24 2 00000079 15 448 1169 -791 -993 0 yyyay` 454 -853 Easiteach 33 20 n 0 nny 0 16777248 0 0 0 0 0 0 0 All possibilities must add to 1 16 0 277600 31 55 -15 0 1 0 16 32 0 0 55 -15 0 1 0 16 33 0 0 55 -15 0 1 0 23 4 0 01A80000 23 35 0 US_English 23 5 0 000003D4 19 370 1274 -742 -944 0 yyyyy_ Outline 21 n 0 n 0 0 0 0 24 5 00000001 24 2 00000079 24 1 00ffff00 19 0 0 2000 2000 0 yyyyy^ Outline 22 n 0 n 0 0 0 0 24 5 00000001 24 2 00000079 24 1 00ffff00 19 839 953 -200 -364 0 yyyyy^ Outline 23 n 0 n 0 0 0 0 24 5 00000001 24 2 00000079 59 21 None nnnnn None 0 None None -1 0 n 0 0 0 0 21 0 0 0 0 0 0 None 0 13 0 -1065 1494 0 E:\Year_12\Statistics\probability\probability.et nnyn 45 0 1 0 0 1 0 0 n 0 0 FFFFFF00 n 0 65536 0 0 00000000 0 0 0 0 0 UK_English 9 0 0 -1 -1 -1 0 0  0 0 0 0 7 0 0 0 0 0 0 0 85 Round l Wingdings -2147483648 100 85 Roman I TimesNewRoman 0 100 85 Number 1. TimesNewRoman 0 100 85 Letter (a) CourierNew 0 80 85 Diamond t Wingdings 0 100 85 Star Wingdings 0 100 85 Flower | Wingdings 65280 100 85 Hand F Wingdings -2147483648 100 85 Note ! Wingdings -2147483648 100 15 89 888 -29 -231 0 yyyyyg 95 -91 Easiteach 66 1 n 0 nny 0 16777248 0 0 0 0 0 0 0 Mr and Mrs Prescott have 2 cars a Lada Riva an E-type Jaguar 16 0 307600 31 55 -15 0 1 0 16 32 231957 14 55 -15 0 1 0 16 47 287557 19 55 -15 0 1 0 23 35 0 US_English 23 5 0 0000054A 23 4 32 01A80000 15 10 1432 -250 -392 0 yyyayg 16 -312 Easiteach 107 2 n 0 nny 0 16777248 0 0 0 0 0 0 0 The probability of the Lada breaking down in a month is 0.3 The probability of the Jag breaking down is 0.2 16 0 556000 59 55 -15 0 1 0 16 60 444800 47 55 -15 0 1 0 23 5 0 00000585 23 4 0 3800A800 23 35 0 US_English 15 69 1455 -403 -1025 0 yyyayg 75 -465 Easiteach 316 3 n 0 nny 0 16777248 0 0 0 0 0 0 0 What is the probability they will both break down? P(Lada breaking) x P(Jag breaking) = 0.3 x 0.2 = 0.06 What is the probability neither will break down? P(Lada not breaking down) = 1 - P(breaking) = 1 - 0.3 = 0.7 P(Jag not breaking down) = 1 - P(breaking) = 1 - 0.2 = 0.8 P(neither breaking) = 0.7 x 0.8 = 0.56 16 0 476000 50 55 -15 0 1 0 16 51 0 0 55 -15 0 1 0 16 52 495600 53 55 -15 0 1 0 16 106 0 0 55 -15 0 1 0 16 107 452400 48 55 -15 0 1 0 16 156 0 0 55 -15 0 1 0 16 157 541200 59 55 -15 0 1 0 16 217 532000 58 55 -15 0 1 0 16 276 0 0 55 -15 0 1 0 16 277 356800 39 55 -15 0 1 0 23 4 0 00588800 23 35 0 US_English 23 5 0 00000560 23 4 52 FFFFFFFF 23 4 105 00588800 23 4 157 3800A800 23 4 312 FFFFFFFF 23 4 316 00FFFF00 19 68 1376 -521 -617 0 yyyyyg Outline 4 n 0 n 0 0 0 0 24 5 00000001 24 2 00000079 24 1 00ffff00 19 739 1448 -772 -832 0 yyyyyg Outline 5 n 0 n 0 0 0 0 24 5 00000001 24 2 00000079 24 1 00ffff00 19 722 1448 -832 -904 0 yyyyyg Outline 6 n 0 n 0 0 0 0 24 5 00000001 24 2 00000079 24 1 00ffff00 19 604 1004 -952 -1033 0 yyyyyg Outline 7 n 0 n 0 0 0 0 24 5 00000001 24 2 00000079 24 1 00ffff00 19 0 0 2000 2000 0 yyyyyf Outline 8 n 0 n 0 0 0 0 24 5 00000001 24 2 00000079 19 41 1448 -740 -1041 0 yyyyyf Outline 9 n 0 n 0 0 0 0 24 5 00000001 24 2 00000079 59 4 None nnnnn None 0 None None -1 0 n 0 0 0 0 4 0 0 0 0 0 0 None 0 59 5 None nnnnn None 0 None None -1 0 n 0 0 0 0 5 0 0 0 0 0 0 None 0 59 6 None nnnnn None 0 None None -1 0 n 0 0 0 0 6 0 0 0 0 0 0 None 0 59 7 None nnnnn None 0 None None -1 0 n 0 0 0 0 7 0 0 0 0 0 0 None 0 13 0 -1065 1494 0 E:\Year_12\Statistics\probability\probability.et nnyn 45 0 1 0 0 1 0 0 n 0 0 FFFFFF00 n 0 65536 0 0 00000000 0 0 0 0 0 UK_English 4 0 0 0 -1 0 0 0  0 0 0 0 6 0 0 0 0 0 0 0 15 27 1064 -188 -294 0 yyyyyg 33 -268 Easiteach 32 1 n 0 nny 0 32 0 0 0 0 0 0 0 What is the probability of this? 16 0 406000 32 74 -19 0 1 0 23 9 0 0000006A 23 8 0 0000001B 23 5 0 0000058C 15 1063 1255 -860 -966 0 yyyyyg 1069 -940 Easiteach 6 2 n 0 nny 0 32 0 0 0 0 0 0 0 7 p = 16 0 69600 6 74 -19 0 1 0 23 9 0 0000006A 23 8 0 0000001B 23 4 0 0000FF00 23 5 0 000001B2 48 1401 1432 -830 -1005 0 nyynyf 3 n 50 |Comic_Sans_MS| |6| |1| || 65280 1 0 48 1263 1329 -830 -1005 0 nyynye 4 n 50 |Comic_Sans_MS| |36| |6| || 65280 1 0 15 1349 1402 -860 -966 0 yyyyye 1355 -940 Easiteach 1 5 n 0 nny 0 32 0 0 0 0 0 0 0 = 16 0 14000 1 74 -19 0 1 0 23 9 0 0000006A 23 8 0 0000001B 23 4 0 0000FF00 23 5 0 00000094 48 1163 1229 -164 -337 0 nyynyd 6 n 50 |Comic_Sans_MS| |36| |1| || 65280 1 0 15 27 1306 -8 -114 0 yyyyyc 33 -88 Easiteach 38 7 n 0 nny 0 32 0 0 0 0 0 0 0 Back to the board game - throw two 6s. 16 0 502800 38 74 -19 0 1 0 23 9 0 0000006A 23 8 0 0000001B 23 4 0 0000FF00 23 5 0 00000582 15 27 1281 -368 -474 0 yyyyyc 33 -448 Easiteach 36 8 n 0 nny 0 32 0 0 0 0 0 0 0 Why do you think two 6s were chosen? 16 0 491600 36 74 -19 0 1 0 23 9 0 0000006A 23 8 0 0000001B 23 5 0 00000590 15 47 1190 -504 -610 0 yyyyyc 53 -584 Easiteach 34 9 n 0 nny 0 32 0 0 0 0 0 0 0 They give the highest number (12). 16 0 446800 34 74 -19 0 1 0 23 9 0 0000006A 23 8 0 0000001B 23 4 0 0000FF00 23 5 0 0000056E 15 27 1113 -638 -744 0 yyyayc 33 -718 Easiteach 32 10 n 0 nny 0 32 0 0 0 0 0 0 0 What other score is as probable? 16 0 426400 32 74 -19 0 1 0 23 9 0 0000006A 23 8 0 0000001B 23 5 0 00000574 15 47 636 -748 -854 0 yyyyyc 53 -828 Easiteach 18 11 n 0 nny 0 32 0 0 0 0 0 0 0 A score of 2 (1,1) 16 0 228400 18 74 -19 0 1 0 23 9 0 0000006A 23 8 0 0000001B 23 4 0 0000FF00 23 5 0 00000554 15 27 1018 -860 -966 0 yyyyyc 33 -940 Easiteach 30 12 n 0 nny 0 32 0 0 0 0 0 0 0 What is the most likely score? 16 0 388000 30 74 -19 0 1 0 23 9 0 0000006A 23 8 0 0000001B 23 5 0 00000598 19 1115 1317 -140 -330 0 yyyynb Outline 13 n 0 n 0 0 0 0 24 2 00000079 24 1 ff702800 19 48 700 -750 -842 0 yyyynb Outline 14 n 0 n 0 0 0 0 24 2 00000079 24 1 ff702800 19 48 1279 -482 -651 0 yyyyna Outline 15 n 0 n 0 0 0 0 24 2 00000079 24 1 ff702800 19 1031 1455 -816 -984 0 yyyyna Outline 16 n 0 n 0 0 0 0 24 2 00000079 24 1 ff702800 13 0 -1683 1494 0 Storyboard nnyN 45 0 1 0 0 1 0 0 n 0 0 FFFFFF00 n 0 65536 0 0 00020800 0 0 0 0 0 UK_English 0 0 450 0 -1 0 0 0  0 0 0 0 5 0 1230 0 0 0 0 0 20 Bullet_list Arial 100 12 00000000 FFFFFF00 0 120 70859 lnnny 120 -15 n 15 25 25 yn 20 Chart_text Arial 100 10 00000000 FFFFFF00 0 120 70859 lnnny 120 0 n 20 25 25 yn 20 Easiteach Comic_Sans_MS 100 20 00000000 FFFFFF00 0 120 70859 lnnny 120 0 n 15 25 25 yn 20 Heading Arial 100 16 00000000 FFFFFF00 0 120 70859 lynny 120 0 n 20 0 0 yn 20 Hypertext Arial 100 12 FF770000 0000FF00 0 120 1098 lnnyy 120 0 n 0 0 0 nn 20 Junior Arial 100 28 00000000 FFFFFF00 0 120 70859 lnnyy 120 0 n 20 25 25 yn 20 Paragraph Times_New_Roman 100 12 00000000 FFFFFF00 0 120 70859 lnnyy 120 0 n 15 25 25 yn 20 Question_text Comic_Sans_MS 100 12 00000000 FFFFFF00 0 120 70859 lnnny 120 0 n 15 25 25 yn 20 Spreadsheet_buttons Arial 100 12 00000000 FFFFFF00 0 120 70859 lnnny 120 0 n 20 25 25 yn 20 Text_selection Arial 100 12 FFFFFF00 A0A0A000 0 120 1098 lynyy 120 0 n 0 0 0 nn 21 Algebra_card 0 2 00000000 F0F0F000 yyn 00 5 nn 21 Answer_box 0 2 00000000 EFC2C200 ynn 00 5 yn 21 Chart 0 2 00000000 EFEFEF00 yyn 00 5 yn 21 Chart_grid 0 2 00000000 EFEFEF00 nyn 00 5 yn 21 Entry_field 0 2 00000000 FFFFFF00 nyn 00 5 nn 21 Filled 0 2 00000000 FFFFFF00 yyn 00 5 yn 21 Group_selection 1 2 C0C0C000 DDDDDD00 nyy 00 0 nn 21 Markup 0 10 00000000 FFFFFF00 nyn 00 5 yn 21 Outline 0 2 00000000 FFFFFF00 nyy 00 5 yn 21 Printer_limits 0 0 A0A0A000 A0A0A000 yny 00 0 nn 21 Question_box 0 2 00000000 F5C4F700 ynn 00 5 yn 21 Rotation_tag 0 0 00FF0000 00FF0000 yyn 00 0 nn 21 Selection 1 0 0000DD00 DDDDDD00 nyy 00 0 nn 21 Selection_tag 0 0 0000DD00 0000DD00 yny 00 0 nn 21 Shadow 0 2 BBBBBB00 80808000 yny 00 5 yn 21 Snipping_cross 0 0 00000000 DDDDDD00 nyy 00 5 nn 21 Table_frame 0 5 00000000 FFFFFF00 yyn 00 5 yn 21 Table_grid 0 2 00000000 EFEFEF00 nyn 00 5 yn 21 Text_flows 0 5 88888800 88888800 nyn 00 5 nn 21 Tree_lines 0 10 FF000000 0000FF00 nyn 00 5 yn 21 Word_builder 0 5 C0C0C000 E8E8E800 yyn 00 5 nn 21 Writing_Frame 0 5 FFFF0000 0096FF00 nyn 00 5 nn 85 Round l Wingdings -2147483648 100 85 Roman I TimesNewRoman 0 100 85 Number 1. TimesNewRoman 0 100 85 Letter (a) CourierNew 0 80 85 Diamond t Wingdings 0 100 85 Star Wingdings 0 100 85 Flower | Wingdings 65280 100 85 Hand F Wingdings -2147483648 100 85 Note ! Wingdings -2147483648 100 19 45 495 -80 -417 0 nyyayg Outline 100 n 0 n 1 0 0 0 19 515 965 -80 -417 0 nyyayg Outline 101 n 0 n 2 0 0 0 19 985 1435 -80 -417 0 nyyayg Outline 102 n 0 n 3 0 0 0 19 45 495 -472 -809 0 nyyayg Outline 103 n 0 n 4 0 0 0 19 515 965 -472 -809 0 nyyayg Outline 104 n 0 n 5 0 0 0 19 985 1435 -472 -809 0 nyyayg Outline 105 n 0 n 6 0 0 0 19 45 495 -864 -1201 0 nyyayg Outline 106 n 0 n 7 0 0 0 19 515 965 -864 -1201 0 nyyayg Outline 107 n 0 n 8 0 0 0 19 985 1435 -864 -1201 0 nyyayg Outline 108 n 0 n 9 0 0 0 19 45 495 -1256 -1593 0 nyyayg Outline 109 n 0 n 10 0 0 0 19 515 965 -1256 -1593 0 nyyayg Outline 110 n 0 n 11 0 0 0 19 985 1435 -1256 -1593 0 nyyayg Outline 111 n 0 n 12 0 0 0 3 nnn 123 0 41 26 1847 1335 0 -750 0 0 nnnynnnnn 1920 1384 0 0 0 0 1 13 0 -1065 1494 0 E:\Year_12\Statistics\probability\probability.et nnyn 45 0 1 0 0 1 0 0 n 0 0 FFFFFF00 n 0 65536 0 0 00000000 0 0 0 0 0 UK_English 5 0 0 -1 -1 -1 0 0  0 0 0 0 4 0 0 0 0 0 0 0 85 Round l Wingdings -2147483648 100 85 Roman I TimesNewRoman 0 100 85 Number 1. TimesNewRoman 0 100 85 Letter (a) CourierNew 0 80 85 Diamond t Wingdings 0 100 85 Star Wingdings 0 100 85 Flower | Wingdings 65280 100 85 Hand F Wingdings -2147483648 100 85 Note ! Wingdings -2147483648 100 15 282 1134 -16 -98 0 yyyayg 288 -78 Easiteach 33 1 n 0 nny 0 16777248 0 0 0 0 0 0 0 Draw the sample space diagram for 16 0 329200 33 55 -15 0 1 0 23 4 0 00588800 23 35 0 US_English 23 5 0 00000447 15 323 1130 -84 -166 0 yyyayg 329 -146 Easiteach 36 2 n 0 nny 0 16777248 0 0 0 0 0 0 0 Flipping a Coin and Rolling a Dice 16 0 313600 36 55 -15 0 1 0 23 4 0 3800A800 23 35 0 US_English 23 5 0 00000518 50 255 993 -210 -552 0 nyynyg 3 n 22 3 7 96 4042321920 16711680 16711680 16711680 16711680 16711680 16711680 16776960 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 16776960 4042321920 4042321920 4042321920 4042321920 4042321920 4042321920 15 667 789 -177 -259 0 yyyayf 673 -239 Easiteach 4 4 n 0 nny 0 16777248 0 0 0 0 0 0 0 Dice 16 0 41200 4 55 -15 0 1 0 23 35 0 US_English 23 5 0 0000028C 15 163 278 -387 -469 0 yyyayf 169 -449 Easiteach 4 5 n 0 nny 0 16777248 0 0 0 0 0 0 0 Coin 16 0 38400 4 55 -15 0 1 0 23 35 0 US_English 23 5 0 000001F7 15 243 1213 -618 -880 0 yyyyyd 249 -680 Easiteach 113 6 n 0 nny 0 16777248 0 0 0 0 0 0 0 What is the probability of.... a Head and an Odd Number? a Tail and a number greater than 4? A Head and a Six? 16 0 267200 30 55 -15 0 1 0 16 31 308119 26 55 -15 0 1 0 16 58 378119 36 55 -15 0 1 0 16 95 214119 18 55 -15 0 1 0 23 35 0 US_English 23 5 0 000004AA 13 0 -1065 1494 0 E:\Year_12\Statistics\probability\probability.et nnyn 45 0 1 0 0 1 0 0 n 0 0 FFFFFF00 n 0 65536 0 0 00000000 0 0 0 0 0 UK_English 10 0 0 -1 -1 -1 0 0  0 0 0 0 3 0 0 0 0 0 0 0 85 Round l Wingdings -2147483648 100 85 Roman I TimesNewRoman 0 100 85 Number 1. TimesNewRoman 0 100 85 Letter (a) CourierNew 0 80 85 Diamond t Wingdings 0 100 85 Star Wingdings 0 100 85 Flower | Wingdings 65280 100 85 Hand F Wingdings -2147483648 100 85 Note ! Wingdings -2147483648 100 15 400 1168 -11 -153 0 yyyayg 406 -73 Easiteach 62 1 n 0 nny 0 16777248 0 0 0 0 0 0 0 Probability of a Head and a Six can be found on a tree diagram 16 0 291200 31 55 -15 0 1 0 16 32 289200 30 55 -15 0 0 0 23 5 0 00000324 23 4 0 3800A800 23 35 0 US_English 18 44 348 -401 -512 0 yyyyyg Outline 46 -510 346 -403 2 n 0 n 0 24 5 00000005 24 2 00000079 18 46 356 -508 -632 0 yyyyyg Outline 48 -510 354 -630 3 n 0 n 0 24 5 00000005 24 2 00000079 15 358 499 -347 -429 0 yyyyyf 364 -409 Easiteach 4 4 n 0 nny 0 16777248 0 0 0 0 0 0 0 Head 16 0 48000 4 55 -15 0 1 0 23 4 0 FF702800 23 35 0 US_English 23 5 0 000003D1 15 37 747 -775 -1037 0 yyyayf 43 -837 Easiteach 95 5 n 0 nny 0 16777248 0 0 0 0 0 0 0 A tree diagram covers all possible outcomes and enables their probabilities to be calculated 16 0 214000 22 55 -15 0 1 0 16 23 201200 22 55 -15 0 1 0 16 46 167200 18 55 -15 0 1 0 16 65 273600 30 55 -15 0 1 0 23 35 0 US_English 23 5 0 00000535 48 185 202 -354 -445 0 nyynye 6 n 30 |Comic_Sans_MS| |2| |1| || 939567104 1 0 48 191 208 -573 -667 0 nyynye 7 n 30 |Comic_Sans_MS| |2| |1| || 939567104 1 0 15 362 468 -590 -672 0 yyyaye 368 -652 Easiteach 4 8 n 0 nny 0 16777248 0 0 0 0 0 0 0 Tail 16 0 35200 4 55 -15 0 1 0 23 4 0 FF702800 23 35 0 US_English 23 5 0 000003EB 15 370 485 -170 -252 0 yyyayd 376 -232 Easiteach 4 9 n 0 nny 0 16777248 0 0 0 0 0 0 0 Coin 16 0 38400 4 55 -15 0 1 0 23 35 0 US_English 23 5 0 00000429 18 502 761 -396 -490 0 yyyyyd Outline 504 -398 759 -488 10 n 0 o 0 24 5 00000005 24 2 00000079 18 498 774 -299 -394 0 yyyyyc Outline 500 -392 772 -301 11 n 0 n 0 24 5 00000005 24 2 00000079 18 471 774 -586 -634 0 yyyyyc Outline 473 -632 772 -588 12 n 0 n 0 24 5 00000005 24 2 00000079 18 469 769 -638 -741 0 yyyyyc Outline 471 -640 767 -739 13 n 0 n 0 24 5 00000005 24 2 00000079 48 647 664 -702 -794 0 nyynyc 14 n 30 |Comic_Sans_MS| |6| |5| |0| 939567104 1 0 48 650 667 -506 -600 0 nyynyb 15 n 30 |Comic_Sans_MS| |6| |1| |0| 939567104 1 0 48 590 608 -432 -524 0 nyynya 16 n 30 |Comic_Sans_MS| |6| |5| |0| 939567104 1 0 48 629 645 -240 -332 0 nyyny` 17 n 30 |Comic_Sans_MS| |6| |1| |0| 939567104 1 0 15 802 851 -249 -331 0 yyyay` 808 -311 Easiteach 1 18 n 0 nny 0 16777248 0 0 0 0 0 0 0 6 16 0 12400 1 55 -15 0 1 0 23 4 0 FF702800 23 35 0 US_English 23 5 0 000001C8 15 760 882 -146 -228 0 yyyay_ 766 -208 Easiteach 4 19 n 0 nny 0 16777248 0 0 0 0 0 0 0 Dice 16 0 41200 4 55 -15 0 1 0 23 35 0 US_English 23 5 0 000001E4 15 794 935 -692 -774 0 yyyay_ 800 -754 Easiteach 5 20 n 0 nny 0 16777248 0 0 0 0 0 0 0 not 6 16 0 48800 5 55 -15 0 1 0 23 4 0 FF702800 23 35 0 US_English 23 5 0 000001EA 15 772 913 -441 -523 0 yyyay^ 778 -503 Easiteach 5 21 n 0 nny 0 16777248 0 0 0 0 0 0 0 not 6 16 0 48800 5 55 -15 0 1 0 23 4 0 FF702800 23 35 0 US_English 23 5 0 000001E1 15 807 856 -537 -619 0 yyyay^ 813 -599 Easiteach 1 22 n 0 nny 0 16777248 0 0 0 0 0 0 0 6 16 0 12400 1 55 -15 0 1 0 23 4 0 FF702800 23 35 0 US_English 23 5 0 000001D9 15 961 1214 -151 -233 0 yyyay] 967 -213 Easiteach 8 23 n 0 noy 0 16777248 0 0 0 0 0 0 0 Outcomes 16 0 94000 8 56 -14 0 1 0 23 4 0 0000FF00 23 5 0 000000FA 23 35 0 US_English 15 1012 1114 -240 -322 0 yyyay] 1018 -302 Easiteach 3 24 n 0 noy 0 16777248 0 0 0 0 0 0 0 H,6 16 0 33600 3 56 -14 0 1 0 23 4 0 0000FF00 23 35 0 US_English 23 5 0 000001CA 15 971 1180 -439 -521 0 yyyay] 977 -501 Easiteach 8 25 n 0 noy 0 16777248 0 0 0 0 0 0 0 H, not 6 16 0 76400 8 56 -14 0 1 0 23 4 0 0000FF00 23 35 0 US_English 23 5 0 000001B7 15 1002 1114 -537 -619 0 yyyay] 1008 -599 Easiteach 4 26 n 0 noy 0 16777248 0 0 0 0 0 0 0 T, 6 16 0 37600 4 56 -14 0 1 0 23 4 0 0000FF00 23 35 0 US_English 23 5 0 00000209 15 977 1181 -690 -772 0 yyyay] 983 -752 Easiteach 8 27 n 0 noy 0 16777248 0 0 0 0 0 0 0 T, not 6 16 0 74400 8 56 -14 0 1 0 23 4 0 0000FF00 23 35 0 US_English 23 5 0 000001D0 18 967 1203 -207 -236 0 yyyyy\ Outline 969 -221 1201 -222 28 n 0 o 0 24 5 00000005 24 2 00000079 15 1234 1487 -167 -235 0 yyyay[ 1240 -218 Easiteach 13 29 n 0 nny 0 16777248 0 0 0 0 0 0 0 Probabilities 16 0 93600 13 44 -12 0 1 0 23 8 0 00000010 23 4 0 00588800 23 35 0 US_English 23 5 0 00000256 48 1216 1232 -245 -337 0 nyyny[ 30 n 30 |Comic_Sans_MS| |2| |1| || 939567104 1 0 48 1215 1232 -416 -508 0 nyyny[ 31 n 30 |Comic_Sans_MS| |2| |1| || 939567104 1 0 48 1214 1232 -542 -635 0 nyyny[ 32 n 30 |Comic_Sans_MS| |2| |1| || 939567104 1 0 48 1215 1232 -687 -781 0 nyyny[ 33 n 30 |Comic_Sans_MS| |2| |1| || 939567104 1 0 48 1289 1305 -249 -343 0 nyynyZ 34 n 30 |Comic_Sans_MS| |6| |1| |0| 939567104 1 0 48 1294 1310 -420 -513 0 nyynyZ 35 n 30 |Comic_Sans_MS| |6| |5| |0| 939567104 1 0 48 1293 1310 -685 -778 0 nyynyZ 36 n 30 |Comic_Sans_MS| |6| |5| |0| 939567104 1 0 48 1387 1424 -245 -337 0 nyynyY 37 n 30 |Comic_Sans_MS| |12| |1| |0| 939567104 1 0 48 1390 1427 -535 -627 0 nyynyY 38 n 30 |Comic_Sans_MS| |12| |1| |0| 939567104 1 0 48 1387 1424 -418 -510 0 nyynyX 39 n 30 |Comic_Sans_MS| |12| |5| |0| 939567104 1 0 48 1382 1418 -691 -783 0 nyynyX 40 n 30 |Comic_Sans_MS| |12| |5| |0| 939567104 1 0 15 1243 1377 -689 -771 0 yyyayW 1249 -751 Easiteach 6 41 n 0 nny 0 16777248 0 0 0 0 0 0 0 x = 16 0 46400 6 55 -15 0 1 0 23 4 0 3800A800 23 35 0 US_English 23 5 0 00000223 15 1243 1377 -248 -330 0 yyyayV 1249 -310 Easiteach 6 42 n 0 nny 0 16777248 0 0 0 0 0 0 0 x = 16 0 46400 6 55 -15 0 1 0 23 4 0 3800A800 23 5 0 00000223 23 35 0 US_English 15 1242 1376 -420 -502 0 yyyayV 1248 -482 Easiteach 6 43 n 0 noy 0 16777248 0 0 0 0 0 0 0 x = 16 0 46400 6 56 -14 0 1 0 23 4 0 3800A800 23 5 0 00000223 23 35 0 US_English 15 1244 1378 -539 -621 0 yyyayV 1250 -601 Easiteach 6 44 n 0 nny 0 16777248 0 0 0 0 0 0 0 x = 16 0 46400 6 55 -15 0 1 0 23 4 0 3800A800 23 5 0 00000223 23 35 0 US_English 48 1296 1313 -541 -635 0 nyynyV 45 n 30 |Comic_Sans_MS| |6| |1| |0| 939567104 1 0 18 1245 1485 -216 -247 0 yyyyyU Outline 1247 -230 1483 -233 46 n 0 n 0 24 5 00000005 24 2 00000079 18 1234 1392 -802 -913 0 yyyyyU Outline 1238 -909 1388 -806 47 n 0 o 0 24 6 00000001 24 5 00000005 24 2 00000079 15 1003 1371 -903 -1045 0 yyyayU 1009 -965 Easiteach 29 48 n 0 noy 0 16777248 0 0 0 0 0 0 0 all possibilities add up to 1 16 0 140000 17 56 -14 0 1 0 16 18 106400 11 56 -14 0 1 0 23 4 0 00588800 23 35 0 US_English 23 5 0 000001BE 59 23 None nnnny None 0 None None -1 0 n 0 0 0 0 28 0 0 0 0 0 0 None 0 59 10 None nnnnn None 0 None None -1 0 n 0 0 0 0 10 0 0 0 0 0 0 None 0 59 43 None nnnnn None 0 None None -1 0 n 0 0 0 0 43 0 0 0 0 0 0 None 0 59 48 None nnnny None 0 None None -1 0 n 0 0 0 0 47 0 0 0 0 0 0 None 0 60 1 0 0 61 47 61 48 60 2 0 0 61 29 61 46 61 42 61 37 61 30 61 34 61 38 61 43 61 40 61 39 61 35 61 31 61 44 61 45 61 32 61 36 61 41 61 33 60 3 0 0 61 28 61 23 61 24 61 25 61 26 61 27 60 4 0 0 61 14 61 20 61 13 61 12 61 22 61 15 61 21 61 16 61 10 61 18 61 19 61 11 61 17 13 0 -1065 1494 0 E:\Year_12\Statistics\probability\probability.et nnyn 45 0 1 0 0 1 0 0 n 0 0 FFFFFF00 n 0 65536 0 0 00000000 0 0 0 0 0 UK_English 11 0 0 -1 -1 -1 0 0  0 0 0 0 2 0 0 0 0 0 0 0 85 Round l Wingdings -2147483648 100 85 Roman I TimesNewRoman 0 100 85 Number 1. TimesNewRoman 0 100 85 Letter (a) CourierNew 0 80 85 Diamond t Wingdings 0 100 85 Star Wingdings 0 100 85 Flower | Wingdings 65280 100 85 Hand F Wingdings -2147483648 100 85 Note ! Wingdings -2147483648 100 15 50 1472 1 -141 0 yyyayg 56 -61 Easiteach 107 1 n 0 nny 0 16777248 0 0 0 0 0 0 0 The probability of the Lada breaking down in a month is 0.3 The probability of the Jag breaking down is 0.2 16 0 556000 59 55 -15 0 1 0 16 60 444800 47 55 -15 0 1 0 23 5 0 00000585 23 4 0 3800A800 23 35 0 US_English 18 80 398 -482 -606 0 yyyyyg Outline 82 -604 396 -484 2 n 0 n 0 24 5 00000005 24 2 00000079 18 81 390 -602 -698 0 yyyyyg Outline 83 -604 388 -696 3 n 0 n 0 24 5 00000005 24 2 00000079 18 641 933 -400 -472 0 yyyyyf Outline 643 -470 931 -402 4 n 0 n 0 24 5 00000005 24 2 00000079 18 641 930 -468 -558 0 yyyyyf Outline 643 -470 928 -556 5 n 0 n 0 24 5 00000005 24 2 00000079 18 588 897 -715 -794 0 yyyyyf Outline 590 -717 895 -792 6 n 0 n 0 24 5 00000005 24 2 00000079 18 588 914 -649 -718 0 yyyyye Outline 590 -716 912 -651 7 n 0 n 0 24 5 00000005 24 2 00000079 15 441 621 -427 -509 0 yyyyyd 447 -489 Easiteach 6 8 n 0 nny 0 16777248 0 0 0 0 0 0 0 breaks 16 0 63200 6 55 -15 0 1 0 23 4 0 3800A800 23 35 0 US_English 23 5 0 000003EA 15 424 513 -657 -739 0 yyyyyd 430 -719 Easiteach 2 9 n 0 nny 0 16777248 0 0 0 0 0 0 0 OK 16 0 28400 2 55 -15 0 1 0 23 4 0 3800A800 23 35 0 US_English 23 5 0 000003FB 15 948 1128 -337 -419 0 yyyyyc 954 -399 Easiteach 6 10 n 0 nny 0 16777248 0 0 0 0 0 0 0 breaks 16 0 63200 6 55 -15 0 1 0 23 4 0 3800A800 23 35 0 US_English 23 5 0 000001EF 15 957 1046 -494 -576 0 yyyyyc 963 -556 Easiteach 2 11 n 0 nny 0 16777248 0 0 0 0 0 0 0 OK 16 0 28400 2 55 -15 0 1 0 23 4 0 3800A800 23 35 0 US_English 23 5 0 000001E6 15 946 1126 -587 -669 0 yyyyyc 952 -649 Easiteach 6 12 n 0 nny 0 16777248 0 0 0 0 0 0 0 breaks 16 0 63200 6 55 -15 0 1 0 23 4 0 3800A800 23 35 0 US_English 23 5 0 000001F1 15 918 1007 -736 -818 0 yyyyyc 924 -798 Easiteach 2 13 n 0 nny 0 16777248 0 0 0 0 0 0 0 OK 16 0 28400 2 55 -15 0 1 0 23 4 0 3800A800 23 35 0 US_English 23 5 0 0000020D 15 816 998 -267 -349 0 yyyayb 822 -329 Easiteach 6 14 n 0 nny 0 16777248 0 0 0 0 0 0 0 Jaguar 16 0 64800 6 55 -15 0 1 0 23 35 0 US_English 23 5 0 00000266 15 351 479 -271 -353 0 yyyayb 357 -333 Easiteach 4 15 n 0 nny 0 16777248 0 0 0 0 0 0 0 Lada 16 0 43600 4 55 -15 0 1 0 23 35 0 US_English 23 5 0 00000454 15 235 328 -444 -526 0 yyyayb 241 -506 Easiteach 3 16 n 0 nny 0 16777248 0 0 0 0 0 0 0 0.3 16 0 30000 3 55 -15 0 1 0 23 4 0 0000FF00 23 35 0 US_English 23 5 0 00000415 15 238 331 -670 -752 0 yyyayb 244 -732 Easiteach 3 17 n 0 nny 0 16777248 0 0 0 0 0 0 0 0.7 16 0 30000 3 55 -15 0 1 0 23 4 0 0000FF00 23 35 0 US_English 23 5 0 00000406 15 744 837 -511 -593 0 yyyaya 750 -573 Easiteach 3 18 n 0 nny 0 16777248 0 0 0 0 0 0 0 0.8 16 0 30000 3 55 -15 0 1 0 23 4 0 0000FF00 23 5 0 000002A3 23 35 0 US_English 15 709 802 -606 -688 0 yyyaya 715 -668 Easiteach 3 19 n 0 nny 0 16777248 0 0 0 0 0 0 0 0.2 16 0 30000 3 55 -15 0 1 0 23 4 0 0000FF00 23 35 0 US_English 23 5 0 000002E1 15 726 819 -758 -840 0 yyyaya 732 -820 Easiteach 3 20 n 0 nny 0 16777248 0 0 0 0 0 0 0 0.8 16 0 30000 3 55 -15 0 1 0 23 4 0 0000FF00 23 35 0 US_English 23 5 0 000002A3 15 734 827 -361 -443 0 yyyay` 740 -423 Easiteach 3 21 n 0 nny 0 16777248 0 0 0 0 0 0 0 0.2 16 0 30000 3 55 -15 0 1 0 23 4 0 0000FF00 23 5 0 000002E1 23 35 0 US_English 15 40 1262 -133 -335 0 yyyay_ 46 -195 Easiteach 100 22 n 0 nny 0 16777248 0 0 0 0 0 0 0 What is the probability they will both break down? What is the probability neither will break down? 16 0 476000 50 55 -15 0 1 0 16 51 452400 48 55 -15 0 1 0 16 100 0 0 55 -15 0 1 0 23 4 0 00588800 23 5 0 00000560 23 35 0 US_English 23 4 100 00FFFF00 19 231 318 -454 -510 0 yyyyy_ Outline 23 n 0 h 0 0 0 0 24 5 00000005 24 2 00000079 24 0 48c8ff00 19 236 325 -690 -737 0 yyyyy_ Outline 24 n 0 h 0 0 0 0 24 5 00000005 24 2 00000079 24 0 48c8ff00 19 736 815 -378 -423 0 yyyyy^ Outline 25 n 0 h 0 0 0 0 24 5 00000005 24 2 00000079 24 0 48c8ff00 19 734 820 -528 -574 0 yyyyy^ Outline 26 n 0 h 0 0 0 0 24 5 00000005 24 2 00000079 24 0 48c8ff00 19 710 791 -626 -667 0 yyyyy^ Outline 27 n 0 h 0 0 0 0 24 5 00000005 24 2 00000079 24 0 48c8ff00 19 726 808 -773 -822 0 yyyyy^ Outline 28 n 0 h 0 0 0 0 24 5 00000005 24 2 00000079 24 0 48c8ff00 15 1205 1476 -502 -570 0 yyyay] 1211 -553 Easiteach 12 29 n 0 noy 0 16777248 0 0 0 0 0 0 0 0.3x0.8=0.24 16 0 101200 12 45 -11 0 1 0 23 8 0 00000010 23 4 0 00588800 23 35 0 US_English 23 5 0 00000146 15 1216 1487 -351 -419 0 yyyay\ 1222 -402 Easiteach 12 30 n 0 nny 0 16777248 0 0 0 0 0 0 0 0.3x0.2=0.06 16 0 96800 12 44 -12 0 1 0 23 8 0 00000010 23 4 0 00588800 23 35 0 US_English 23 5 0 00000129 15 1220 1491 -608 -676 0 yyyay\ 1226 -659 Easiteach 12 31 n 0 nny 0 16777248 0 0 0 0 0 0 0 0.7x0.2=0.14 16 0 96800 12 44 -12 0 1 0 23 8 0 00000010 23 4 0 00588800 23 35 0 US_English 23 5 0 000000FD 15 1212 1483 -748 -816 0 yyyay\ 1218 -799 Easiteach 12 32 n 0 nny 0 16777248 0 0 0 0 0 0 0 0.7x0.8=0.56 16 0 96800 12 44 -12 0 1 0 23 8 0 00000010 23 4 0 00588800 23 35 0 US_English 23 5 0 00000164 15 1179 1494 -285 -367 0 yyyay[ 1185 -347 Easiteach 13 33 n 0 nny 0 16777248 0 0 0 0 0 0 0 Probabilities 16 0 117200 13 55 -15 0 1 0 23 4 0 00588800 23 35 0 US_English 23 5 0 000003A1 15 1290 1414 -130 -212 0 yyyayZ 1296 -192 Easiteach 4 34 n 0 nny 0 16777248 0 0 0 0 0 0 0 0.06 16 0 42400 4 55 -15 0 1 0 23 4 0 0000FF00 23 35 0 US_English 23 5 0 00000193 15 1285 1409 -195 -277 0 yyyayZ 1291 -257 Easiteach 4 35 n 0 nny 0 16777248 0 0 0 0 0 0 0 0.56 16 0 42400 4 55 -15 0 1 0 23 4 0 0000FF00 23 35 0 US_English 23 5 0 00000274 15 26 1140 -869 -951 0 yyyayZ 32 -931 Easiteach 45 36 n 0 nny 0 16777248 0 0 0 0 0 0 0 What is the probability just one breaks down? 16 0 432400 45 55 -15 0 1 0 23 4 0 00588800 23 5 0 00000560 23 35 0 US_English 15 44 1435 -942 -1020 0 yyyayZ 50 -1000 Easiteach 60 37 n 0 nny 0 16777248 0 0 0 0 0 0 0 0.24 [Lada beaks, Jag OK] + 0.14 [Lada OK, Jag breaks]= 0.38 16 0 548400 60 52 -13 0 1 0 23 5 0 00000573 23 8 0 00000013 23 4 0 0000FF00 23 35 0 US_English 19 34 1428 -952 -1026 0 yyyyyZ Outline 38 n 0 n 0 0 0 0 24 5 00000005 24 2 00000079 24 0 48c8ff00 19 1291 1421 -143 -195 0 yyyyyY Outline 39 n 0 n 0 0 0 0 24 5 00000005 24 2 00000079 24 0 48c8ff00 19 1280 1421 -207 -263 0 yyyyyY Outline 40 n 0 n 0 0 0 0 24 5 00000005 24 2 00000079 24 0 48c8ff00 59 24 None nnnnn None 0 None None -1 0 n 0 0 0 0 24 0 0 0 0 0 0 None 0 59 23 None nnnnn None 0 None None -1 0 n 0 0 0 0 23 0 0 0 0 0 0 None 0 59 25 None nnnnn None 0 None None -1 0 n 0 0 0 0 25 0 0 0 0 0 0 None 0 59 26 None nnnnn None 0 None None -1 0 n 0 0 0 0 26 0 0 0 0 0 0 None 0 59 27 None nnnnn None 0 None None -1 0 n 0 0 0 0 27 0 0 0 0 0 0 None 0 59 28 None nnnnn None 0 None None -1 0 n 0 0 0 0 28 0 0 0 0 0 0 None 0 59 39 None nnnnn None 0 None None -1 0 n 0 0 0 0 39 0 0 0 0 0 0 None 0 59 40 None nnnnn None 0 None None -1 0 n 0 0 0 0 40 0 0 0 0 0 0 None 0 59 38 None nnnnn None 0 None None -1 0 n 0 0 0 0 38 0 0 0 0 0 0 None 0 59 29 None nnnnn None 0 None None -1 0 n 0 0 0 0 29 0 0 0 0 0 0 None 0 60 5 0 0 61 30 61 29 61 31 61 32 92 14 37 0 0 0 0 0 0 0 2 92 24 37 0 0 0 0 0 0 0 2 13 0 -1065 1494 0 E:\Year_12\Statistics\probability\probability.et nnyn 45 0 1 0 0 1 0 0 n 0 0 FFFFFF00 n 0 65536 0 0 00000000 0 0 0 0 0 UK_English 12 0 0 -1 -1 -1 0 0  0 0 0 0 1 12 1230 0 0 0 1838 0 85 Round l Wingdings -2147483648 100 85 Roman I TimesNewRoman 0 100 85 Number 1. TimesNewRoman 0 100 85 Letter (a) CourierNew 0 80 85 Diamond t Wingdings 0 100 85 Star Wingdings 0 100 85 Flower | Wingdings 65280 100 85 Hand F Wingdings -2147483648 100 85 Note ! Wingdings -2147483648 100 15 54 1335 -24 -153 0 yyyayg 60 -80 Easiteach 112 2 n 0 nny 0 16777248 0 0 0 0 0 0 0 If the probability of Chelsea winning the Premiership is 0.6 and the probability of Posh winning League 2 is 0.1 16 0 503600 60 50 -13 0 1 0 16 61 428000 51 50 -13 0 1 0 23 8 0 00000012 23 5 0 00000520 23 4 0 FF702800 23 35 0 US_English 23 4 22 FFFFFFFF 23 4 29 FF702800 23 4 57 FFFFFFFF 23 4 60 FF702800 23 4 84 FFFFFFFF 23 4 88 FF702800 23 4 109 FFFFFFFF 15 54 1315 -144 -381 0 yyyyyg 60 -200 Easiteach 193 3 n 0 nny 0 16777248 0 0 0 0 0 0 0 Use a tree diagram to calculate:- The probability of both teams winning their leagues The probability of neither winning their league What is the most likely outcome? What is the probability? 16 0 278000 33 50 -13 0 1 0 16 34 480119 52 50 -13 0 1 0 16 87 438519 48 50 -13 0 1 0 16 136 494800 57 50 -13 0 1 0 23 5 0 00000585 23 8 0 00000012 23 4 0 3800A800 23 35 0 US_English 18 48 78 -682 -713 0 yyyyyg Outline 64 -696 62 -699 4 n 0 n 0 24 5 00000005 24 2 00000079 24 0 48c8ff00 18 84 374 -578 -733 0 yyyyyf Outline 86 -731 372 -580 5 n 0 n 0 24 5 00000005 24 2 00000079 18 81 374 -731 -845 0 yyyyyf Outline 83 -733 372 -843 6 n 0 n 0 24 5 00000005 24 2 00000079 18 565 915 -475 -567 0 yyyyye Outline 567 -565 913 -477 7 n 0 n 0 24 5 00000005 24 2 00000079 18 567 904 -564 -643 0 yyyyye Outline 569 -566 902 -641 8 n 0 n 0 24 5 00000005 24 2 00000079 18 527 881 -764 -847 0 yyyyye Outline 529 -845 879 -766 9 n 0 n 0 24 5 00000005 24 2 00000079 18 528 871 -842 -941 0 yyyyye Outline 530 -844 869 -939 10 n 0 n 0 24 5 00000005 24 2 00000079 15 408 519 -512 -594 0 yyyayd 414 -574 Easiteach 3 11 n 0 nny 0 16777248 0 0 0 0 0 0 0 Win 16 0 36800 3 55 -15 0 1 0 23 4 0 0000FF00 23 35 0 US_English 23 5 0 0000040B 15 398 543 -760 -902 0 yyyayd 404 -822 Easiteach 9 12 n 0 nny 0 16777248 0 0 0 0 0 0 0 don't win 16 0 50000 5 55 -15 0 1 0 16 6 29600 3 55 -15 0 1 0 23 4 0 0000FF00 23 35 0 US_English 23 5 0 000003FD 15 944 1055 -431 -513 0 yyyayc 950 -493 Easiteach 3 13 n 0 nny 0 16777248 0 0 0 0 0 0 0 Win 16 0 36800 3 55 -15 0 1 0 23 4 0 0000FF00 23 5 0 0000040B 23 35 0 US_English 15 895 1020 -364 -446 0 yyyayb 901 -426 Easiteach 4 14 n 0 nny 0 16777248 0 0 0 0 0 0 0 Posh 16 0 42000 4 55 -15 0 1 0 23 4 0 FF702800 23 35 0 US_English 23 5 0 000001A6 15 330 528 -370 -452 0 yyyayb 336 -432 Easiteach 7 15 n 0 nny 0 16777248 0 0 0 0 0 0 0 Chelsea 16 0 70800 7 55 -15 0 1 0 23 4 0 FF702800 23 35 0 US_English 23 5 0 0000040C 15 927 1072 -569 -711 0 yyyayb 933 -631 Easiteach 9 16 n 0 nny 0 16777248 0 0 0 0 0 0 0 don't win 16 0 50000 5 55 -15 0 1 0 16 6 29600 3 55 -15 0 1 0 23 4 0 0000FF00 23 5 0 000003FD 23 35 0 US_English 15 903 1048 -858 -1000 0 yyyayb 909 -920 Easiteach 9 17 n 0 nny 0 16777248 0 0 0 0 0 0 0 don't win 16 0 50000 5 55 -15 0 1 0 16 6 29600 3 55 -15 0 1 0 23 4 0 0000FF00 23 5 0 000003FD 23 35 0 US_English 15 906 1017 -720 -802 0 yyyaya 912 -782 Easiteach 3 18 n 0 nny 0 16777248 0 0 0 0 0 0 0 Win 16 0 36800 3 55 -15 0 1 0 23 4 0 0000FF00 23 5 0 0000040B 23 35 0 US_English 15 171 264 -570 -652 0 yyyay` 177 -632 Easiteach 3 19 n 0 nny 0 16777248 0 0 0 0 0 0 0 0.6 16 0 30000 3 55 -15 0 1 0 23 4 0 3800A800 23 35 0 US_English 23 5 0 000004FC 15 167 260 -782 -864 0 yyyay` 173 -844 Easiteach 3 20 n 0 nny 0 16777248 0 0 0 0 0 0 0 0.4 16 0 30000 3 55 -15 0 1 0 23 4 0 3800A800 23 35 0 US_English 23 5 0 00000526 15 728 821 -432 -514 0 yyyay_ 734 -494 Easiteach 3 21 n 0 nny 0 16777248 0 0 0 0 0 0 0 0.1 16 0 30000 3 55 -15 0 1 0 23 4 0 3800A800 23 5 0 000000F9 23 35 0 US_English 15 707 800 -597 -679 0 yyyay_ 713 -659 Easiteach 3 22 n 0 nny 0 16777248 0 0 0 0 0 0 0 0.9 16 0 30000 3 55 -15 0 1 0 23 4 0 3800A800 23 5 0 00000101 23 35 0 US_English 15 704 797 -721 -803 0 yyyay_ 710 -783 Easiteach 3 23 n 0 nny 0 16777248 0 0 0 0 0 0 0 0.1 16 0 30000 3 55 -15 0 1 0 23 4 0 3800A800 23 35 0 US_English 23 5 0 000000F9 15 684 777 -895 -977 0 yyyay_ 690 -957 Easiteach 3 24 n 0 nny 0 16777248 0 0 0 0 0 0 0 0.9 16 0 30000 3 55 -15 0 1 0 23 4 0 3800A800 23 35 0 US_English 23 5 0 00000101 15 1176 1450 -362 -444 0 yyyay^ 1182 -424 Easiteach 11 25 n 0 nny 0 16777248 0 0 0 0 0 0 0 Probability 16 0 101600 11 55 -15 0 1 0 23 4 0 00588800 23 35 0 US_English 23 5 0 00000119 15 1136 1466 -444 -526 0 yyyay^ 1142 -506 Easiteach 12 26 n 0 nny 0 16777248 0 0 0 0 0 0 0 0.6x0.1=0.06 16 0 124800 12 55 -15 0 1 0 23 4 0 3800A800 23 35 0 US_English 23 5 0 0000014A 15 1122 1452 -592 -674 0 yyyay^ 1128 -654 Easiteach 12 27 n 0 nny 0 16777248 0 0 0 0 0 0 0 0.6x0.9=0.54 16 0 124800 12 55 -15 0 1 0 23 4 0 3800A800 23 35 0 US_English 23 5 0 00000154 15 1089 1419 -727 -809 0 yyyay^ 1095 -789 Easiteach 12 28 n 0 nny 0 16777248 0 0 0 0 0 0 0 0.4x0.1=0.04 16 0 124800 12 55 -15 0 1 0 23 4 0 3800A800 23 35 0 US_English 23 5 0 0000014F 15 1111 1441 -886 -968 0 yyyay^ 1117 -948 Easiteach 12 29 n 0 nny 0 16777248 0 0 0 0 0 0 0 0.4x0.9=0.36 16 0 124800 12 55 -15 0 1 0 23 4 0 3800A800 23 35 0 US_English 23 5 0 0000015D 15 1292 1416 -197 -279 0 yyyay] 1298 -259 Easiteach 4 30 n 0 nny 0 16777248 0 0 0 0 0 0 0 0.06 16 0 42400 4 55 -15 0 1 0 23 4 0 FF702800 23 35 0 US_English 23 5 0 0000053E 15 1313 1437 -303 -385 0 yyyay] 1319 -365 Easiteach 4 31 n 0 nny 0 16777248 0 0 0 0 0 0 0 0.54 16 0 42400 4 55 -15 0 1 0 23 4 0 FF702800 23 35 0 US_English 23 5 0 0000011E 15 1301 1425 -248 -330 0 yyyay\ 1307 -310 Easiteach 4 32 n 0 nny 0 16777248 0 0 0 0 0 0 0 0.36 16 0 42400 4 55 -15 0 1 0 23 4 0 FF702800 23 35 0 US_English 23 5 0 000003AD 19 158 259 -586 -632 0 yyyyy\ Outline 33 n 0 n 0 0 0 0 24 5 00000005 24 2 00000079 24 0 00ffff00 19 156 248 -803 -847 0 yyyyy\ Outline 34 n 0 n 0 0 0 0 24 5 00000005 24 2 00000079 24 0 00ffff00 19 722 804 -446 -496 0 yyyyy[ Outline 35 n 0 n 0 0 0 0 24 5 00000005 24 2 00000079 24 0 00ffff00 19 695 794 -620 -665 0 yyyyy[ Outline 36 n 0 n 0 0 0 0 24 5 00000005 24 2 00000079 24 0 00ffff00 19 704 778 -735 -783 0 yyyyy[ Outline 37 n 0 n 0 0 0 0 24 5 00000005 24 2 00000079 24 0 00ffff00 19 682 765 -911 -963 0 yyyyy[ Outline 38 n 0 n 0 0 0 0 24 5 00000005 24 2 00000079 24 0 00ffff00 19 1126 1459 -456 -515 0 yyyyyZ Outline 39 n 0 n 0 0 0 0 24 5 00000005 24 2 00000079 24 0 00ffff00 19 1117 1452 -613 -664 0 yyyyyZ Outline 40 n 0 n 0 0 0 0 24 5 00000005 24 2 00000079 24 0 00ffff00 19 1086 1424 -742 -801 0 yyyyyZ Outline 41 n 0 n 0 0 0 0 24 5 00000005 24 2 00000079 24 0 00ffff00 19 1113 1440 -899 -958 0 yyyyyZ Outline 42 n 0 n 0 0 0 0 24 5 00000005 24 2 00000079 24 0 00ffff00 19 1292 1417 -211 -261 0 yyyyyY Outline 43 n 0 n 0 0 0 0 24 5 00000005 24 2 00000079 24 0 00ffff00 19 1302 1426 -261 -312 0 yyyyyY Outline 44 n 0 n 0 0 0 0 24 5 00000005 24 2 00000079 24 0 00ffff00 19 1318 1437 -312 -367 0 yyyyyY Outline 45 n 0 n 0 0 0 0 24 5 00000005 24 2 00000079 24 0 00ffff00 19 404 526 -505 -905 0 yyyyyY Outline 46 n 0 n 0 0 0 0 24 5 00000005 24 2 00000079 24 0 00ffff00 19 909 1059 -449 -993 0 yyyyyX Outline 47 n 0 n 0 0 0 0 24 5 00000005 24 2 00000079 24 0 00ffff00 15 38 401 -951 -1033 0 yyyyyX 44 -1013 Easiteach 13 48 n 0 nny 0 16777248 0 0 0 0 0 0 0 pg.258 ex.19A 16 0 137600 13 55 -15 0 1 0 23 35 0 US_English 23 5 0 0000057D 19 22 396 -951 -1030 0 yyyyyW Outline 49 n 0 n 0 0 0 0 24 5 00000005 24 2 00000079 24 1 00000000 24 0 ffff2800 59 33 None nnnnn None 0 None None -1 0 n 0 0 0 0 33 0 0 0 0 0 0 None 0 59 34 None nnnnn None 0 None None -1 0 n 0 0 0 0 34 0 0 0 0 0 0 None 0 59 46 None nnnnn None 0 None None -1 0 n 0 0 0 0 46 0 0 0 0 0 0 None 0 59 38 None nnnnn None 0 None None -1 0 n 0 0 0 0 38 0 0 0 0 0 0 None 0 59 37 None nnnnn None 0 None None -1 0 n 0 0 0 0 37 0 0 0 0 0 0 None 0 59 36 None nnnnn None 0 None None -1 0 n 0 0 0 0 36 0 0 0 0 0 0 None 0 59 35 None nnnnn None 0 None None -1 0 n 0 0 0 0 35 0 0 0 0 0 0 None 0 59 47 None nnnnn None 0 None None -1 0 n 0 0 0 0 47 0 0 0 0 0 0 None 0 59 43 None nnnnn None 0 None None -1 0 n 0 0 0 0 43 0 0 0 0 0 0 None 0 59 44 None nnnnn None 0 None None -1 0 n 0 0 0 0 44 0 0 0 0 0 0 None 0 59 45 None nnnnn None 0 None None -1 0 n 0 0 0 0 45 0 0 0 0 0 0 None 0 59 39 None nnnnn None 0 None None -1 0 n 0 0 0 0 39 0 0 0 0 0 0 None 0 59 40 None nnnnn None 0 None None -1 0 n 0 0 0 0 40 0 0 0 0 0 0 None 0 59 41 None nnnnn None 0 None None -1 0 n 0 0 0 0 41 0 0 0 0 0 0 None 0 59 42 None nnnnn None 0 None None -1 0 n 0 0 0 0 42 0 0 0 0 0 0 None 0