A physician routinely visits a local nursing home on Thursda

A physician routinely visits a local nursing home on Thursday mornings to examine patients. Suppose the facility has 20 residents, but the physician only has time to check 8. The supervisor places 8 random patients on an ordered list and presents the schedule to the physician. Fill in the blank. (Give your answer to four decimal places.) If there are 15 women and 5 men in the facility, the probability that all the appointments will be with women is __ _. (Hint: The number of different schedules that are possible is 5,079,110,400.)

Solution

the probability that all the appointments will be with women is

15C8 * 5C0     /      20C8

0.051083