An urn contains two blue balls (denoted B1 and B2) and one white ball (denoted W). One

Chapter 9, Problem 18

(choose chapter or problem)

An urn contains two blue balls (denoted \(B_{1}\) and \(B_{2}\)) and one white ball (denoted W). One ball is drawn, its color is recorded, and it is replaced in the urn. Then another ball is

drawn, and its color is recorded.

a. Let \(B_{1}W\) denote the outcome that the first ball drawn is\(B_{1}\) and the second ball drawn is W. Because the first ball is replaced before the second ball is drawn, the outcomes of the experiment are equally likely. List all nine possible outcomes of the experiment.

b. Consider the event that the two balls that are drawn are both blue. List all outcomes in the event. What is the probability of the event?

c. Consider the event that the two balls that are drawn are of different colors. List all outcomes in the event. What is the probability of the event?

Text Transcription:

B_1

B_2

B_1W