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?
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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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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