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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.

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section11.8: Probabilities Of Disjoint And Overlapping Events
Problem 2C
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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.
Transcribed Image Text: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.
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