Wooden boxes are commonly used for the packaging and transportation of mangoes. A convenience store in Morganville, New Jersey, regularly buys mangoes from a wholesale dealer. For every shipment, the...

Wooden boxes are commonly used for the packaging and transportation of mangoes. A convenience store in Morganville, New Jersey, regularly buys mangoes from a wholesale dealer. For every shipment, the manager randomly inspects two mangoes from a box containing 20 mangoes for damages due to transportation. Suppose the chosen box contains exactly 3 damaged mangoes.

a. Find the probability that the first mango is not damaged.

b. Find the probability that neither of the mangoes is damaged.

c. Find the probability that both mangoes are damaged.