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).

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.4: Applications
Problem 30EQ
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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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