Question 1089945: Of the 81 people who answered "yes" to a question, 6 were male. Of the 70 people that answered "no" to the question, 6 were male. If one person is selected at random from the group, what is the probability that the person answered "yes" or was male?
Answer by addingup(3677)   (Show Source):
You can put this solution on YOUR website! Total answers: 81Y+70N = 151, thus P(Y) = 81/151
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Total male answers: 6+6 = 12, thus P(M) = 12/151
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Of 151 people only 6 males answered "yes", thus P(Y and M) = 6/151
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Now let's put it all together:
P(Y or M) = P(Y)+P(M)- P(Y and M)
P(Y or M) = 81/151+12/151+6/151 = 99/151 = 0.6556
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