5) Michelle and Kim are playing a tennis match. The winner will be the first person to win two sets. Kim is the better player, and in fact whenever they play a set the probability is 2/3 that Kim will win the set. (Hint: Draw a tree diagram for a three set match) a) What is the probability that Michelle will win the match? b) If she wins the first set, what then is the probability that she will win the match? c) What is the probability that she wins the first set given that she wins the match? d) What is the probability that the match will last for three sets?

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5) Michelle and Kim are playing a tennis match. The winner will be the first person to win two sets. Kim is the better player, and
in fact whenever they play a set the probability is 2/3 that Kim will win the set. (Hint: Draw a tree diagram for a three set match)
a) What is the probability that Michelle will win the match?
b) if she wins the first set, what then is the probability that she will win the match?
c) What is the probability that she wins the first set given that she wins the match?
d) What is the probability that the match will last for three sets?
Transcribed Image Text:5) Michelle and Kim are playing a tennis match. The winner will be the first person to win two sets. Kim is the better player, and in fact whenever they play a set the probability is 2/3 that Kim will win the set. (Hint: Draw a tree diagram for a three set match) a) What is the probability that Michelle will win the match? b) if she wins the first set, what then is the probability that she will win the match? c) What is the probability that she wins the first set given that she wins the match? d) What is the probability that the match will last for three sets?
4) 2% of employees in a company are drug users. A test was developed to identify the drug users. If a person is a drug user, then
the test returns positive result 98% of the time. If a person is not a drug user, the test returns negative result 96% of the time.
Will
you recommend this test to be administered at your company? Let D = the person is a drug user, D' = the person is not a
drug user, P = test is positive, P' = test is negative.
%3D
%3D
Transcribed Image Text:4) 2% of employees in a company are drug users. A test was developed to identify the drug users. If a person is a drug user, then the test returns positive result 98% of the time. If a person is not a drug user, the test returns negative result 96% of the time. Will you recommend this test to be administered at your company? Let D = the person is a drug user, D' = the person is not a drug user, P = test is positive, P' = test is negative. %3D %3D
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