Using the information in the following double-entry table, solve the following:     Men Women Total Married 102 93 195 Single 27 14 41 Total 129 107 236   a) If the selected worker is single, what is the probability that he is a woman? b) If the worker is a man, what is the probability that he is not married? c) Find the probability that it is a woman given that she is known to be married.

A First Course in Probability (10th Edition)
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Chapter1: Combinatorial Analysis
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3. Using the information in the following double-entry table, solve the following:
 

 

Men

Women

Total

Married

102

93

195

Single

27

14

41

Total

129

107

236

 

a) If the selected worker is single, what is the probability that he is a woman?
b) If the worker is a man, what is the probability that he is not married?
c) Find the probability that it is a woman given that she is known to be married.

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