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?

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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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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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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