In a small city approximately 18 of those eligible are calle

In a small city, approximately 18% of those eligible are called for jury duty in any one calendar year. People are selected for jury duty at random from those eligible, and the same individual cannot be called more than once in the same year.

(a) What is the probability that a particular eligible person in this city is selected in both of the next 2 years? (Enter your answer to four decimal places.)


(b) What is the probability that a particular eligible person in this city is selected in all three of the next 3 years? (Enter your answer to six decimal places.)

Solution

a) one memver is selected with probability 0.18 in one year, both in year 1 and year 2 selection probability is 0.0324

b) in year 1 , year 2 and year 3 selection probability is 0.005832