3. An urn contains 3 red balls and 2 blue balls. A ball is drawn. If the ball is red, it is kept out of the urn and a second ball is drawn from the urn. If the ball is blue, then it is put back in the urn and a red ball is added to the urn. Then a second ball is drawn from the urn. (a) What is the probability that both balls drawn are red? (b) If the second drawn ball is red, what is the probability that the first drawn ball was blue?

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 7ECP: You draw one card at random from a standard deck of 52 playing cards. What is the probability that...
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3. An urn contains 3 red balls and 2 blue balls. A ball is drawn. If the ball is red, it is kept
out of the urn and a second ball is drawn from the urn. If the ball is blue, then it is put
back in the urn and a red ball is added to the urn. Then a second ball is drawn from the
urn. (a) What is the probability that both balls drawn are red? (b) If the second drawn
ball is red, what is the probability that the first drawn ball was blue?
Transcribed Image Text:3. An urn contains 3 red balls and 2 blue balls. A ball is drawn. If the ball is red, it is kept out of the urn and a second ball is drawn from the urn. If the ball is blue, then it is put back in the urn and a red ball is added to the urn. Then a second ball is drawn from the urn. (a) What is the probability that both balls drawn are red? (b) If the second drawn ball is red, what is the probability that the first drawn ball was blue?
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