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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
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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?

User XXavier
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4 votes

the answer is 13/16 not 12/16



User Fishiwhj
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2 votes
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
User Kenmistry
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