This will be involving the selection of colored balls from two bags. Assume that each bag contains 5 balls. Bag a contains 4 red and 1 white, while bag b contains 3 red, 1 white, and 1 blue. You randomly select one ball from bag a, note the color, and place the ball in bag b. You then select a ball from bag b at random and make note of its color. (1) What is the probability that both balls are red?  (2) What is the probability that both balls are red given that the first ball you drew was red?

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
Section8.7: Probability
Problem 50E: Medicine Out of a group of 9 patients treated with a new drug, 4 suffered a relapse. Find the...
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This will be involving the selection of colored balls from two bags. Assume that each bag contains 5 balls. Bag a contains 4 red and 1 white, while bag b contains 3 red, 1 white, and 1 blue. You randomly select one ball from bag a, note the color, and place the ball in bag b. You then select a ball from bag b at random and make note of its color.

(1) What is the probability that both balls are red? 

(2) What is the probability that both balls are red given that the first ball you drew was red?

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