Box A contains 5 red balls and 1 black ball; box B contains 2 red balls and 3 black balls. A box is chosen, and a ball is se-lected from it. The probability of choosing box A is 3/8. If the selected ball is black, what is the probability that it came frombox A?

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter8: Sequences, Series, And Probability
Section8.CT: Chapter Test
Problem 30CT: In a batch of 20 tires, 2 are known to be defective. If 4 tires are chosen at random, find the...
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Box A contains 5 red balls and 1 black ball; box B contains 2

red balls and 3 black balls. A box is chosen, and a ball is se-
lected from it. The probability of choosing box A is 3/8. If the

selected ball is black, what is the probability that it came from
box A?

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