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)

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.
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