21. Two identical boxes contain balls. One of the boxes has 7 red balls and 4 blue balls. The other box has 6 red balls and 9 blue balls. A box is chosen at random and two balls are drawn at random from this box, without replacement. (a) What is the probability that both balls are red? (b) What is the probability that the second ball is red, given that the first ball is red? (c) What is the probability that both balls are green?

Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter14: Counting And Probability
Section14.CT: Chapter Test
Problem 11CT: Three people are chosen at random from a group of live men and ten women. What is the probability...
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21. Two identical boxes contain balls. One of the boxes has 7 red balls and 4 blue
balls. The other box has 6 red balls and 9 blue balls. A box is chosen at random
and two balls are drawn at random from this box, without replacement.
(a) What is the probability that both balls are red?
(b) What is the probability that the second ball is red, given that the first ball is
red?
(c) What is the probability that both balls are green?
Transcribed Image Text:21. Two identical boxes contain balls. One of the boxes has 7 red balls and 4 blue balls. The other box has 6 red balls and 9 blue balls. A box is chosen at random and two balls are drawn at random from this box, without replacement. (a) What is the probability that both balls are red? (b) What is the probability that the second ball is red, given that the first ball is red? (c) What is the probability that both balls are green?
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