Suppose Pr(A)=1/2, Pr(B)=1/4, and Pr(A v B)=1/2. What else can you say about A and B based on the claims below? a) Pr(A ^ B)=0, since Pr(A) = Pr(A v B). b) Pr(A ^ B)=1/4, and so, A is a subset of B. c) Pr(A ^ B)=1/4, and so, B is a subset of A. d) Pr(A ^ B)=1/2, and so, A is a subset of B.
Suppose Pr(A)=1/2, Pr(B)=1/4, and Pr(A v B)=1/2. What else can you say about A and B based on the claims below? a) Pr(A ^ B)=0, since Pr(A) = Pr(A v B). b) Pr(A ^ B)=1/4, and so, A is a subset of B. c) Pr(A ^ B)=1/4, and so, B is a subset of A. d) Pr(A ^ B)=1/2, and so, A is a subset of B.
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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Suppose Pr(A)=1/2, Pr(B)=1/4, and Pr(A v B)=1/2. What else can you say about A and B based on the claims below?
a) Pr(A ^ B)=0, since Pr(A) = Pr(A v B).
b) Pr(A ^ B)=1/4, and so, A is a subset of B.
c) Pr(A ^ B)=1/4, and so, B is a subset of A.
d) Pr(A ^ B)=1/2, and so, A is a subset of B.
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