4. Bag A contains 3 red balls and 7 blue balls. Bag B contains 8 red balls and 4 blue balls. Bag C contains 5 red balls and 11 blue balls. A bag is chosen at random, with each bag equally likely to be chosen, and then a ball is chosen at random from that bag. Calculate the probability that a red ball is chosen.

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 6ECP: In Pennsylvania’s Cash 5 game, a player chooses five different numbers from 1 to 43. If these five...
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4. Bag A contains 3 red balls and 7 blue balls. Bag B contains
8 red balls and 4 blue balls. Bag C contains 5 red balls and
11 blue balls. A bag is chosen at random, with each bag
equally likely to be chosen, and then a ball is chosen at
random from that bag. Calculate the probability that a red
ball is chosen.
Transcribed Image Text:4. Bag A contains 3 red balls and 7 blue balls. Bag B contains 8 red balls and 4 blue balls. Bag C contains 5 red balls and 11 blue balls. A bag is chosen at random, with each bag equally likely to be chosen, and then a ball is chosen at random from that bag. Calculate the probability that a red ball is chosen.
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