Several black and white balls are used for the random test. Three black balls and one white ball are placed in the bowl. One ball is randomly picked up from the bowl and replaced with a ball of another color (black to white or white to black), which is returned to the bowl. Then another ball is randomly drawn from the bowl. (a) What is the probability that the second ball is black? (b) The second ball is black. Then what is the probability that the first ball was black?

Several black and white balls are used for the random test. Three black balls and one white ball are placed in the bowl. One ball is randomly picked up from the bowl and replaced with a ball of another color (black to white or white to black), which is returned to the bowl. Then another ball is randomly drawn from the bowl. (a) What is the probability that the second ball is black? (b) The second ball is black. Then what is the probability that the first ball was black?

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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