Out of 300 convicted felons at a certain prison facility, 120 are incarcerated for a drug-related offense.

Out of 300 convicted felons at a certain prison facility, 120 are incarcerated for a drug-related offense. If 5 prisoners are selected at random, what is the exact probability that 3 of them are drug-related offenders? Round your answers to 3 decimal places.
A U.S. customs inspector decides to inspect 3 out of 16 shipments for contraband. Find the probability that 2 out of the 3 shipments will contain contraband if the selection is random and unknown to the inspector, 5 of the 16 shipments contain contraband.
In a package of 10 batteries, 3 are dead. Four batteries are checked and if one or more are dead, the package is not sold. What is the probability that the package will not be sold if there are actually three dead batteries in the package? Put your answers in decimal form rounded to 3 decimal places.