A parking lot contains 100 cars that all look quite nice from the outside.

However, k of these cars happen to be lemons. The integer k is known to lie in the range

{0,1,2,…,9} with all values equally likely.

(a) We testdrive 20 cars chosen at random without replacement, and to our pleasant surprise, none of them turn out to be a lemon. Given this knowledge, what is the probability that k = 0 .

(b) Repeat part (a) when the 20 cars are chosen with replacement.