Box 1 (B1) has 3 Red and 4 Green balls, Box 2 (B2) has 4 Red and 5 Green balls. One of the boxes is selected when P(B1) = 1/3. A ball is randomly drawn from the selected box. a) What is the probability of getting a Red ball, P(R)? b) If the drawn ball is Red, what is the probability that it came out of Box 2, P(B2|R)? 2.

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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2. Box 1 (B1) has 3 Red and 4 Green balls, Box 2 (B2) has 4 Red and 5 Green balls. One of the boxes is
selected when P(B1) = 1/3. A ball is randomly drawn from the selected box.
a) What is the probability of getting a Red ball, P(R)?
b) If the drawn ball is Red, what is the probability that it came out of Box 2, P(B2|R)?
Transcribed Image Text:2. Box 1 (B1) has 3 Red and 4 Green balls, Box 2 (B2) has 4 Red and 5 Green balls. One of the boxes is selected when P(B1) = 1/3. A ball is randomly drawn from the selected box. a) What is the probability of getting a Red ball, P(R)? b) If the drawn ball is Red, what is the probability that it came out of Box 2, P(B2|R)?
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