SOLUTION: The mathematics department of a college has 6 male professors, 11 female professors,10 male teaching assistants and 12 female teaching assistants . If a person is selected random f
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Question 1007621: The mathematics department of a college has 6 male professors, 11 female professors,10 male teaching assistants and 12 female teaching assistants . If a person is selected random from a group ,find the probability that the selected person is a professor or male. Answer by Edwin McCravy(20054) (Show Source):
N(A OR B) = N(A) + N(B) - N(A AND B)
6 male professors, 11 female professors, 10 male teaching assistants
and 12 female teaching assistants
N(professors) = 6+11 = 17
N(males) = 6+10 = 16
N(professor and male) = 6
N(professor OR male) = N(professors) + N(males) - N(professor AND male)
N(professor OR male) = 17 + 16 - 6 = 27
N(people to choose from) = 6+11+10+12 = 39
The probability is 27 out of 39 = 27/39 which reduces to 9/13
Edwin
