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carloslorenzo44
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The mathematics department of a college has 12 male​ professors, 7female​ professors, 13 male teaching​ assistants, and 12 female teaching assistants. If a person is selected at random from the​ group, find the probability that the selected person is a professor or a male.

Verified Answer :

atrochelmann

Professor: 19/44
Male: 15/44

I hope this helped!

wizard123

Use the following probability property:
\(P(A or B) = P(A) + P(B) - P(A and B)\)
Where A is person is a professor.
B is person is male.

Total number in group = 44
Total number of professors = 19
Total number that are male = 25
Number that are BOTH male and a professor = 12

\(P = \frac{19}{44} + \frac{25}{44} - \frac{12}{44} = \frac{32}{44} = \frac{8}{11}\)

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