Assume that two bags contain 4 balls each. Bag A contains 1 red and 3 white, while Bag B contains 2 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.

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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Assume that two bags contain 4 balls each. Bag A contains 1 red and 3 white, while Bag B contains 2 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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