Question

The mathematics department of a college has 1515 male​ professors, 77 female​ professors, 1414 male teaching​ assistants, and 1414 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.

Answer 1

probability that the selected person is a professor or a male.=
`(36)/(50) =(18)/(25)`

Explanation:

The mathematics department of a college has 15 male​ professors, 7 female​ professors, 14 male teaching​ assistants, and 14 female teaching assistants

number of professors = 15 male + 7 female = 22

number of male = 15 male professor + 14 male assistants= 29 male

number of professors are male = 15

selected person is professor or a male = professors + male - number of male professors= 22+29-15= 36

Total persons = 15+ 7 +14+14= 50

probability that the selected person is a professor or a male.=
`(36)/(50) =(18)/(25)`