A pair of fair dice is tossed. Define the following events: A: 5Exactly one of the dice

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A pair of fair dice is tossed. Define the following events: A: 5Exactly one of the dice shows a 1.6 B: 5The sum of the numbers on the two dice is even.6

a. Identify the sample points in the events A, B, A ¨ B, A ∪ B, and Ac .

b. Find P1A2, P1B2, P1A ¨ B2, P1A ∪ B2, and P1Ac 2 by summing the probabilities of the appropriate sample points.

c. Using your result from part

b, explain why A and B are not mutually exclusive.

d. Find P1A ∪ B2 using the additive rule. Is your answer the same as in part b?

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Statistics For Business And Economics

ISBN: 9781292413396

14th Global Edition

Authors: James McClave, P. Benson, Terry Sincich

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