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In a certain lottery, three white balls are drawn (at random) from ten balls numbered from 1 to 10, and one red SuperBall is drawn (at random) from ten balls numbered from 11 to 20. When you buy a ticket, you select three numbers from 1 to 10 and one number from 11 to 20. To win a super prize, the numbers on your ticket must match at least two of the white balls or must match the red SuperBall.

If you buy a ticket, what is your probability of winning a super prize?

 Mar 18, 2020
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The probability is C(7,3)*3*C(11,2)/(10*1200) = 77/160.

 Apr 1, 2020

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