Bob buys three tickets in a raffle in which 500 tickets are sold. What is the probability of him winning"

a) 1st prize
b) 1st and 3rd prize
c) 2nd and 3rd prize

Helping me with either a, b, or c should help me answer the other questions, thanks.

2 answers

To win first prize, he has a 1/500 chance

to win first and 3rd.

Assume he wins the first prize which is 1/500

then chance of winning 2nd is 1/499
and chance of winning 3rd is 1/498

to get to your ANDS multiply the two probabilities.
Note:
Above assumes the prize drawing order is first, second, third (third draw).