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?
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
