You have three bags of marbles. Bag A contains 1 red and 4 blue marbles, Bag B contains 2 red and 3 blue marbles, and Bag C contains 3 red and 2 blue marbles. (a) If one marble is drawn from each bag, find the probability that exactly two of the three marbles are blue. (b) If you randomly select one bag and draw one marble from it, find the probability that the marble is blue.

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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You have three bags of marbles. Bag A contains 1 red and 4 blue marbles, Bag B
contains 2 red and 3 blue marbles, and Bag C contains 3 red and 2 blue marbles.
(a) If one marble is drawn from each bag, find the probability that exactly two of the
three marbles are blue.
(b) If you randomly select one bag and draw one marble from it, find the probability
that the marble is blue.
Transcribed Image Text:You have three bags of marbles. Bag A contains 1 red and 4 blue marbles, Bag B contains 2 red and 3 blue marbles, and Bag C contains 3 red and 2 blue marbles. (a) If one marble is drawn from each bag, find the probability that exactly two of the three marbles are blue. (b) If you randomly select one bag and draw one marble from it, find the probability that the marble is blue.
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