A group of men possesses the three characteristics of being married (A), having a

Chapter 2, Problem 2.155

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A group of men possesses the three characteristics of being married (A), having a college degree (B), and being a citizen of a specified state (C), according to the fractions given in the accompanying Venn diagram. That is, 5% of the men possess all three characteristics, whereas 20% have a college education but are not married and are not citizens of the specified state. One man is chosen at random from this group. B A C .20 .10 .10 .05 .10 .15 .25 Find the probability that he a is married. b has a college degree and is married. c is not from the specified state but is married and has a college degree. d is not married or does not have a college degree, given that he is from the specified state.

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