A clinic employs nine physicians.Five of the physicians are female.Four patients arrive at once.Assuming the doctors are assigned randomly to patients,what is the probability that all of the assigned physicians are female?
A)0.0397
B)0.0295
C)0.0808
D)0.0533

Question

Quizplus · Accepted Answer

The probability of assigning a female physician to the first patient is 5/9. The probability of assigning a female physician to the second patient is 4/8. The probability of assigning a female physician to the third patient is 3/7. The probability of assigning a female physician to the fourth patient is 2/6. The probability of assigning all four patients to female physicians is (5/9) * (4/8) * (3/7) * (2/6) = 0.0397.

A Clinic Employs Nine Physicians