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(d) If P(A) = 0, then P(AN B) = 0. (e) If P(A) = 1/3 and P(B) = 1/4, then A and B are disjoint. %3D

(d) If P(A) = 0, then P(AN B) = 0. (e) If P(A) = 1/3 and P(B) = 1/4, then A and B are disjoint. %3D

A First Course in Probability (10th Edition)
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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PART D AND E

1. Let A and B be two events. Prove or disprove the following statements: (a) If P(A) = P(B) = p, then P(AN B) < p. (b) If P(A) = P(B®), then A = B. (c) If P(A) = 0, then A 0. %3D %3D (d) If P(A) = 0, then P(AN B) = 0. (e) If P(A) = 1/3 and P(B) = 1/4, then A and B are disjoint.
Transcribed Image Text:1. Let A and B be two events. Prove or disprove the following statements: (a) If P(A) = P(B) = p, then P(AN B) < p. (b) If P(A) = P(B®), then A = B. (c) If P(A) = 0, then A 0. %3D %3D (d) If P(A) = 0, then P(AN B) = 0. (e) If P(A) = 1/3 and P(B) = 1/4, then A and B are disjoint.
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