In the SuperLottery, three balls are drawn (at random) from ten white balls 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?
there is also an A)
If the numbers on your ticket match the three white balls and the red SuperBall, then you win the jackpot. (You don't need to match the white balls in order). What is the probability that you win the jackpot?
PLEASE HELP AND THANK U IN ADVANCE.
a) since you have to choose three numbers and one superball to win the lottery, your chances will be:
chances of getting the 3 white numbers = 1/10 x 1/9 x 1/8 = 1/720
chance of getting the superball = 1/10
chances of winning the jackpot = 1/720 x 1/10 = 1/7,200
b) The probability is C(7,3)*3*C(11,2)/(10*1200) = 77/160.