Rework problem 21 from section 3.3 of your text, involving the selection of colored balls from two bags. Assume that each bag contains 6 balls. Bag a contains 4 red and 2 white, while bag b contains 2 red, 3 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?

A First Course in Probability (10th Edition)
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Chapter1: Combinatorial Analysis
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Rework problem 21 from section 3.3 of your text, involving the selection of colored balls from two bags. Assume that each bag contains 6 balls. Bag a contains 4 red and 2 white, while bag b contains 2 red, 3 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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