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29 September, 00:32

In a hospital ward, there are 10 nurses and 6 doctors. 4 of the nurses and 3 of the doctors are male. If a person is randomly selected from this group, what is the probability that the person is female or a doctor?

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  1. 29 September, 01:20
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    Total number of people in ward = 16

    Number of nurses = 10

    Number of male nurses = 4

    Number of female nurses = 6

    Number of doctors = 6

    Number of male doctors = 3

    Number of female doctors = 3

    We are to find the probability of selecting a female or a doctor.

    Probability of selecting a female or a doctor = Probability of selecting a female + probability of selecting a doctor - probability of selecting a female doctor

    Probability of selecting a female or a doctor = 9/16 + 6/16 - 3/16 = 3/4

    Thus, the probability of selecting a female or a doctor is 3/4
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