Suppose there are two bins labeled A and B. Bin A contains 3 blue and 9 red balls, and bin B contains 4 blue and 4 red balls. Suppose I pick a bin uniformly at random and then draw a ball uniformly at random from that bin. a.) What is the probability that I picked bin A given that I drew a red ball? b.) What is the probability that I picked bin A given that I drew a blue ball?

Suppose there are two bins labeled A and B. Bin A contains 3 blue and 9 red balls, and bin B contains 4 blue and 4 red balls. Suppose I pick a bin uniformly at random and then draw a ball uniformly at random from that bin. a.) What is the probability that I picked bin A given that I drew a red ball? b.) What is the probability that I picked bin A given that I drew a blue ball?

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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Suppose there are two bins labeled A and B. Bin A contains 3 blue and 9 red balls, and bin B contains 4 blue and 4 red balls. Suppose I pick a bin uniformly at random and then draw a ball uniformly at random from that bin.

a.) What is the probability that I picked bin A given that I drew a red ball?

b.) What is the probability that I picked bin A given that I drew a blue ball?

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