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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?

 Jul 23, 2020
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There are 9 possible numbers for the first ball, then 8 possible numbers for the second number, then 7 possible numbers.  There are 9 possible outcomes for the SuperBall, so the answer is (1200 - 9*8*7 - 9)/1200 = 687/1200.

 Jul 24, 2020

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