SOLUTION: A pair of dice is rolled. Let P denote the event “the sum shown is 8” and Q the event “the two dice show the same number”. Find (i) P(P/Q) (ii) P(Q/P)
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-> SOLUTION: A pair of dice is rolled. Let P denote the event “the sum shown is 8” and Q the event “the two dice show the same number”. Find (i) P(P/Q) (ii) P(Q/P)
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Question 1026448: A pair of dice is rolled. Let P denote the event “the sum shown is 8” and Q the event “the two dice show the same number”. Find (i) P(P/Q) (ii) P(Q/P) Answer by robertb(5830) (Show Source):
You can put this solution on YOUR website! Now P(P) = probability that “the sum shown is 8” = 5/36, and
P(Q) = probability that “the two dice show the same number” = 6/36 = 1/6.
==>P(P|Q) = P(P∩Q)/P(Q) = .
Also, P(Q|P) = P(P∩Q)/P(P) = .
Note: P(P∩Q) = 1/36 because only the outcome (4,4) will satisfy the event P∩Q.
