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# answersbookchapter2 - Chapter 2 P1 With return RR RG RB GR...

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Chapter 2. P1 With return: RR, RG, RB, GR, GG, GB, BR, BG, BB. Without return: RG, RB, GR, GB, BR, BG. P2 Sample space = { all finite sequences of 1...6 with 6 in the last position and without 6 in other positions } ∪ { all infinite sequences of 1...5 } . E n = { all sequences from the sample space of length n } n =1 E n c = ( E 1 ) c = (Here “ n rolls are necessary...” is understood as “the experiment will last n or more rolls...”) P3 EF = { 12 , 14 , 16 , 21 , 41 , 61 } , E F = { 11 , 12 , 13 , 14 , 15 , 16 , 21 , 23 , 25 , 31 , 32 , 34 , 36 , 41 , 43 , 45 , 51 , 52 , 54 , 56 , 61 , 63 , 65 } EF c = { 23 , 25 , 32 , 34 , 36 , 43 , 45 , 52 , 54 , 56 , 63 , 65 } ( EF c is understood as E ( F c )) EFG = FG = { 14 , 41 } P4 (a) 1 and 0 denote heads and tails respectively. (b) A = { 1 , 0001 , 0000001 , ... } , B = { 01 , 00001 , 00000001 , ... } , ( A B ) c = { 001 , 000001 , 000000001 , ..., 0000000000000000 ... } P7 Assume that the order of the members of the team is important. An out- come of this experiment is a sequence, of length 15, the elements of which contain information about the team members (2 · 3 = 6 options for each). (a) 6 15 (b) 6 15 - 3 15 (c) 4 15 P8 (a) P ( A B ) = . 3 + . 5 = . 8 (b) P ( A \ B ) = P ( A ) = . 3 (c) P ( AB ) = 0 P9 24+61-11=74 P12 (a) .50 (b) .32 (c) 100 2 - 50 2 100 2 3 / 4

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answersbookchapter2 - Chapter 2 P1 With return RR RG RB GR...

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