Question

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?

Answer 1

To calculate the probability that Jason will win all 3 of the prizes, multiply the probabilities of winning each prize together. In this case, the probability is approximately 0.0297.

Step-by-step explanation:

To find the probability that Jason will win all 3 of the prizes, we need to calculate the probability of winning each prize and then multiply them together. Since Jason bought 10 of the 30 raffle tickets, there are 10 possible tickets that could win each prize.

The probability of winning the first prize is 10/30, or 1/3.

After winning the first prize, Jason's chances of winning the second prize are reduced to 9/29.

Finally, the probability of winning the third prize is 8/28.

To find the overall probability, multiply the three probabilities together: (1/3) * (9/29) * (8/28) = 72/2432, or approximately 0.0297.

Answer 2

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)