A raffle contains 200 tickets, two of this 200 tickets are the 1st and 2nd price, if i were to buy 5 tickets, what is my probability of winning 1st price? and what would be my probability of winning both 1st and 2nd price?

Im thinking the answer to winning 1st prize is 5/200, but I'm not so sure about winning both

First prize = 5/200

If the events are independent, the probability of both/all events occurring is determined by multiplying the probabilities of the individual events.

1st and 2nd Prizes = 5/200 * (5-1)/(200-1) = ?