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3.32 A pair of fair dice is tossed. Define the following events: A: B: {You will roll a 7.} (i.e., The sum of the dots on the up faces of the two dice is equal to 7.) {At least one of the two dice shows a 4.} a. Identify the sample points in the events A, B, An B, AUB, and Ac. b. Find P(A), P(B), P(A^ B), P(AUB), and P(A) by summing the probabilities of the appropriate sample points. c. Find P(AUB) using the additive rule. Compare your answer with that for the same event in part b. d. Are A and B mutually exclusive? Why?

3.32 A pair of fair dice is tossed. Define the following events: A: B: {You will roll a 7.} (i.e., The sum of the dots on the up faces of the two dice is equal to 7.) {At least one of the two dice shows a 4.} a. Identify the sample points in the events A, B, An B, AUB, and Ac. b. Find P(A), P(B), P(A^ B), P(AUB), and P(A) by summing the probabilities of the appropriate sample points. c. Find P(AUB) using the additive rule. Compare your answer with that for the same event in part b. d. Are A and B mutually exclusive? Why?

College Algebra
College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 6ECP: In Pennsylvania’s Cash 5 game, a player chooses five different numbers from 1 to 43. If these five...
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3.32 A pair of fair dice is tossed. Define the following events: A: B: {You will roll a 7.} (i.e., The sum of the dots on the up faces of the two dice is equal to 7.) {At least one of the two dice shows a 4.} a. Identify the sample points in the events A, B, An B, AUB, and Ac. b. Find P(A), P(B), P(A^ B), P(AUB), and P(A) by summing the probabilities of the appropriate sample points. c. Find P(AUB) using the additive rule. Compare your answer with that for the same event in part b. d. Are A and B mutually exclusive? Why?
Transcribed Image Text:3.32 A pair of fair dice is tossed. Define the following events: A: B: {You will roll a 7.} (i.e., The sum of the dots on the up faces of the two dice is equal to 7.) {At least one of the two dice shows a 4.} a. Identify the sample points in the events A, B, An B, AUB, and Ac. b. Find P(A), P(B), P(A^ B), P(AUB), and P(A) by summing the probabilities of the appropriate sample points. c. Find P(AUB) using the additive rule. Compare your answer with that for the same event in part b. d. Are A and B mutually exclusive? Why?
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