(Answered) Question an urn contains two blue balls denoted b1 and b2

Statistics

Question: An urn contains two blue balls (denoted B₁ and B₂) and three white balls (denoted W₁, W₂, and W₃). 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 B₁W₂ denote the outcome that the first ball drawn is B₁ and the second ball drawn is W₂. Because the first ball is replaced before the second ball is drawn, the outcomes of the experiment are equally likely. List all 25 possible outcomes of the experiment.

b. Consider the event that the first ball that is drawn is blue. List all outcomes in the event. What is the probability of the event?

c. Consider the event that only white balls are drawn. List all outcomes in the event. What is the probability of the event?

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