# PROBABILITY CHECKPOINT 1.pdf - Question 1 of 4 A family...

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Question 1 of 4 A family plans to have 3 children. For each birth, assume that the probability of a boy is the same as the probability of a girl. What is the probability that they will have exactly one girl? 0.5 0.125 0.375 0.875 none of these Good job! Since the outcomes are equally likely, the easiest way to work this problem is to write out the 8 outcomes in this sample space. In three of these outcomes there is exactly one girl (GBB, BGB, BBG). So the answer is 3/8 = 0.375.
Question 2 of 4 A person in a casino decides to play blackjack until he wins a game, but he will not play more than 3 games. Let W denote a win and L denote a loss. What is the sample space for this random experiment?
S = {WWW, WWL, WLW, WLL, LWW, LWL, LLW, LLL} S = {W, LW, LLW} S = {W, LW, LLW, LLL} S = {W, WW, WWW} S = {W, WL, WWL, WWW} Good job! The person stops playing when he wins or if he plays three games without winning.