For mutually exclusive events R₁, R₂, and R3, we have P(R₁) = 0.05, P(R₂) = 0.5, and P(R3) = 0.45. Also, P(Q | R₁) = 0.6, P(Q|R₂) = 0.3, and P(Q | R3) = 0.8. Find P(R3 | Q). P(R3 | Q) = (Simplify your answer. Type an integer or a fraction.)

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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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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For mutually exclusive events R₁, R₂, and R3, we have P(R₁) = 0.05, P(R₂) = 0.5, and P(R3) = 0.45. Also, P(Q|
R₁) = 0.6, P(Q|R₂) = 0.3, and P(Q | R3)=0.8.
Find P(R3 | Q).
P(R3 | Q) = (Simplify your answer. Type an integer or a fraction.)
Transcribed Image Text:For mutually exclusive events R₁, R₂, and R3, we have P(R₁) = 0.05, P(R₂) = 0.5, and P(R3) = 0.45. Also, P(Q| R₁) = 0.6, P(Q|R₂) = 0.3, and P(Q | R3)=0.8. Find P(R3 | Q). P(R3 | Q) = (Simplify your answer. Type an integer or a fraction.)
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