A raffle is held in the IT department of a company in which 10 of the 40 members who bought raffle tickets are good friends with the department chair. The chair draws two winners. If the two winners...

A raffle is held in the IT department of a company in which 10 of the 40 members who bought raffle tickets are good friends with the department chair. The chair draws two winners.

If the two winners are drawn
with replacement, what is the probability that a friend of the department chair wins each time?

If the two winners are drawn
without replacement, what is the probability that a friend of the department chair wins each time?

If the two winners are drawn
with replacement, what is the probability that neither winner is a friend of the department chair?

If the two winners are drawn
without replacement, what is the probability that neither winner is a friend of the department chair?