You have three bags of marbles, as shown below: the first has 3 blue marbles and 1 redmarble, the second has 3 blue marbles and 2 red marbles, and the third has 1 blue marbleand 2 red marbles.(a) If you pick a bag uniformly at random and draw a marble from it, what is the probabilitythat the marble will be red?(b) If you pick a bag uniformly at random and draw a red marble from it, what is theprobability that the bag you picked was the third bag?

You have three bags of marbles, as shown below: the first has 3 blue marbles and 1 redmarble, the second has 3 blue marbles and 2 red marbles, and the third has 1 blue marbleand 2 red marbles.(a) If you pick a bag uniformly at random and draw a marble from it, what is the probabilitythat the marble will be red?(b) If you pick a bag uniformly at random and draw a red marble from it, what is theprobability that the bag you picked was the third bag?

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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