Help, My parents can’t even help me. I’m really stuck. In the SuperLottery, three balls are drawn (at random) from ten white bal
ls numbered from 1 to 10, and one SuperBall is drawn (at random) from ten red balls numbered from 11 to 20. When you buy a ticket, you choose three numbers from 1 to 10, and one number from 11 to 20. If the numbers on your ticket match at least two of the white balls or match the red SuperBall, then you win a super prize. What is the probability that you win a super prize?
This is an extremely easy question. Your correct answer is 1/7,200 or 0.01389%
Step-by-step explanation:
Since you have to choose the three numbers and one super ball to be able to win the lottery, your chances of getting 3 white numbers is 1/10 x 1/9 x 1/8 = 1/720
The chances of getting the super ball is 1/10
And the chances of winning the jackpot is 1/720 x 1/10 = 1/7,200 = 0.01389%
1. The probability your first ticket matches one of the white balls is 3/10. Then the second ticket has a probability of matching of 2/9 (since there are only 9 white balls left). Then the probability of the third ticket matching is 1/8. The probability of matching the red ball is 1/10. Hence, the overall probability is (3/10)*(2/9)*(1/8)*(1/10) = 1/1200.
2. I think this is as follows:
p(exactly 3 white) = (3/10)*(2/9)*(1/8) = 1/120
p(exactly 2 white) = (3/10)*(2/9)*(7/8) = 7/120
p(1 red) = 1/10
So probability(at least 2 white or 1 red) = 1/120 + 7/120 + 1/10= 1/6
