Suppose you throw two eight-sided dice, with sides numbered from one to eight. D

Question

Suppose you throw two eight-sided dice, with sides numbered from one to eight. Define the following events: 7. A: Event A occurs when the sum of both die faces equals 9 B: Event B occurs when at least one of the die faces is 7 C: Event C occurs when the sum of both die faces is less than or equal to 5 Compute the following probabilities: a. P(A) b. P(B) c. P(C) d. P(AUB) e. P(AUC) f. P(BUC) a) P(A) 8/64 b) P(B)-15/64 c) P(C)-10/64 d) P(AUB) = P(A) + P(B)-P(AnB)-8/64 + 15/64-2/64-21/64. e) P(AUC) = P(A) + P(C)-8/64 + 10/64-18/64.

Explanation / Answer

1   A ans) P(A)= 8/64

   B) P(B) = 15/64

C) P(C) =10/64

D) P(AUB) =8/64+15/64-2/64=21/64

E) P(AUC) =8/64+10/64=18/64

F) P(BUC) =15/64+10/64=25/64

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