Jason bought 10 of the 30 raffle tickets for a drawing. What is the probability that Jason will win all 3 of the prizes if once a raffle ticket wins a prize it is thrown away?

For the first drawing, there are 30 tickets altogether, and Jason

has 10 of them. The probability that one of his tickets will win is

10 / 30.

For the second drawing, there are 29 tickets altogether, and Jason

has 9 of them. The probability that one of his tickets will win is

9 / 29.

For the third drawing, there are 28 tickets altogether, and Jason

has 8 of them. The probability that one of his tickets will win is

8 / 28.

The probability that all three of these things will happen is

(10/30) x (9/29) x (8/28) = 720 / 24,360

= 6 / 203 = 2.96 percent (rounded)