Bag A contains 3 red balls and 1 blue ball. Bag B contains 2 red balls and 3 blue balls. I choose one of the two bags randomly, put my hand into it and take out two balls. (a) What is the probability that I have taken out o

Bag A contains 3 red balls and 1 blue ball. Bag B contains 2 red balls and 3 blue balls. I choose one of the two bags randomly, put my hand into it and take out two balls. (a) What is the probability that I have taken out o

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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Question

Bag A contains 3 red balls and 1 blue ball. Bag B contains 2 red balls and 3 blue balls.

I choose one of the two bags randomly, put my hand into it and take out two balls.

(a) What is the probability that I have taken out one blue ball and one red one?

(b) What is the probability that I took the balls from bag A, given that I have taken out one blue ball and one red one?

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