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.
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.
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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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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