box contains 7 balls: 2 red, 2 blue, and 3 yellow. A ball is drawn and its color noted. If the bal erwise, it is not. A second ball is then drawn and its color is noted. probability that the first ball was yellow, given that the second was red?

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 4ECP: Show that the probability of drawing a club at random from a standard deck of 52 playing cards is...
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Rework problem 28 from section 3.4 of your text, involving the drawing of two balls from a box of colored balls.
Assume the box contains 7 balls: 2 red, 2 blue, and 3 yellow. A ball is drawn and its color noted. If the ball is yellow, it is
replaced; otherwise, it is not. A second ball is then drawn and its color is noted.
What is the probability that the first ball was yellow, given that the second was red?
37
Transcribed Image Text:Rework problem 28 from section 3.4 of your text, involving the drawing of two balls from a box of colored balls. Assume the box contains 7 balls: 2 red, 2 blue, and 3 yellow. A ball is drawn and its color noted. If the ball is yellow, it is replaced; otherwise, it is not. A second ball is then drawn and its color is noted. What is the probability that the first ball was yellow, given that the second was red? 37
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