Question

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?

Answer 1

1upon 3................

Answer 2

Answer:

3/4

Step-by-step explanation:

Given :

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

Solution :

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 = $\frac{9}{16} +\frac{6}{16} -\frac{3}{16}  =\frac{3}{4}$= 3/4

Hence the probability that the person is female or a doctor is 3/4