1. Pocket A contains 2 red balls and 1 blue ball. Pocket B contains 2 red balls and 4 blue balls. I choose one of the two pockets randomly with equal probability, put my hand into it and take out two balls.

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter8: Sequences, Series, And Probability
Section8.7: Probability
Problem 50E: Medicine Out of a group of 9 patients treated with a new drug, 4 suffered a relapse. Find the...
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Homework Question B
1. Pocket A contains 2 red balls and 1 blue ball. Pocket B contains 2 red
balls and 4 blue balls. I choose one of the two pockets randomly with
equal probability, put my hand into it and take out two balls.
i.
ii.
What is the probability that I have taken out one red ball and one
blue one?
What is the probability that I took the balls from pocket B, given
that I have taken out one red ball and one blue one?
2. There is D4 dice (each is equally likely to roll any of the numbers from 1
to 4) I roll 9 of the dice.
i.
ii.
What is the probability that I roll exactly 4 "1"s?
What is the probability that I roll exactly 4 "1"s and exactly 3 "2"s?
Transcribed Image Text:Homework Question B 1. Pocket A contains 2 red balls and 1 blue ball. Pocket B contains 2 red balls and 4 blue balls. I choose one of the two pockets randomly with equal probability, put my hand into it and take out two balls. i. ii. What is the probability that I have taken out one red ball and one blue one? What is the probability that I took the balls from pocket B, given that I have taken out one red ball and one blue one? 2. There is D4 dice (each is equally likely to roll any of the numbers from 1 to 4) I roll 9 of the dice. i. ii. What is the probability that I roll exactly 4 "1"s? What is the probability that I roll exactly 4 "1"s and exactly 3 "2"s?
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