7. One of two boxes contains 4 red balls and 2 green balls and the second box contains 4 green and two red balls. By design, the probabilities of selecting box 1 or box 2 at random are 1/3 for box 1 and 2/3 for box 2. A box is selected at random and a ball is selected at random from it. a. Given that the ball selected is red, what is the probability it was selected from the first box? b. Given that the ball selected is red, what is the probability it was selected from the second box? c. Compare the results in parts a) and b) and explain the answer.

7. One of two boxes contains 4 red balls and 2 green balls and the second box contains 4 green and two red balls. By design, the probabilities of selecting box 1 or box 2 at random are 1/3 for box 1 and 2/3 for box 2. A box is selected at random and a ball is selected at random from it. a. Given that the ball selected is red, what is the probability it was selected from the first box? b. Given that the ball selected is red, what is the probability it was selected from the second box? c. Compare the results in parts a) and b) and explain the answer.

Calculus For The Life Sciences

2nd Edition

ISBN:9780321964038

Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Chapter12: Probability

Section12.CR: Chapter 12 Review

Problem 83CR

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