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11 March, 05:02

The mathematics department of a college has 7 male professors, 6 female professors, 9 male teaching assistants, and 5 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.

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  1. 11 March, 05:12
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    Answer: 208/729

    Step-by-step explanation:

    Staffs,

    7 male professors

    6 female professors

    9 male teaching assistants

    5 female teaching assistants

    The total number of staffs is 7 + 6 + 9 + 5 = 27 staffs.

    The probability of the person selected being a professor Pp = number of professors divided by the total staff

    = 13/27.

    Probability of the person selected being a male Pm = number of male staffs divided by total staffs

    = 16/27

    the probability that the selected person is a professor or a male =

    Pp x Pm = 13/27 x 16/27 = 208/729
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