4. Define = {1,2,3,4,5,6} and A₁ = {i} for i = 1,2, ...,6, B = {1,4}, C = {2,3,4}, D = {1,2,3} and E = {1,2,5,6}. Suppose it is known that P (A₂) = 2P (A3), P (B) = 0.81, P(C) = 0.16, and P(D) = 0.95. Find P(E).

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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4. Define = {1,2,3,4,5,6} and A₁ = {i} for i = 1,2, ...,6, B = {1,4}, C = {2,3,4}, D =
{1,2,3} and E = {1,2,5,6}. Suppose it is known that P (A₂) = 2P (A3), P (B) = 0.81, P(C) =
0.16, and P(D) = 0.95. Find P(E).
Transcribed Image Text:4. Define = {1,2,3,4,5,6} and A₁ = {i} for i = 1,2, ...,6, B = {1,4}, C = {2,3,4}, D = {1,2,3} and E = {1,2,5,6}. Suppose it is known that P (A₂) = 2P (A3), P (B) = 0.81, P(C) = 0.16, and P(D) = 0.95. Find P(E).
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