(a) Pr(B|A) = 1/2. (b) Pr(B) = 4/7. (c) Pr(A| B) = 7/13. (d) The events A and B are mutually exclusive. (e) The events A and B are independent.

A First Course in Probability (10th Edition)
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Chapter1: Combinatorial Analysis
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(a) Pr(B|A) = 1/2.
(b) Pr(B) = 4/7.
(c) Pr(A|B) = 7/13.
(d) The events A and B are mutually exclusive.
(e) The events A and B are independent.
Transcribed Image Text:(a) Pr(B|A) = 1/2. (b) Pr(B) = 4/7. (c) Pr(A|B) = 7/13. (d) The events A and B are mutually exclusive. (e) The events A and B are independent.
A bag contains 4 green balls and 3 red balls. A ball is selected at random from the bag. If
it is red it is returned to the bag, but if it is green it is not returned. A second ball is then
selected at random from the bag. Let A be the event that the first ball is green and B be
the event that the second ball is green. Explain whether each of the following statements
is true or false:
Transcribed Image Text:A bag contains 4 green balls and 3 red balls. A ball is selected at random from the bag. If it is red it is returned to the bag, but if it is green it is not returned. A second ball is then selected at random from the bag. Let A be the event that the first ball is green and B be the event that the second ball is green. Explain whether each of the following statements is true or false:
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