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# probability question

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In the SmallState Lottery, three white b**lls are drawn (at random) from twenty b**lls numbered 1 through 20, and a blue SuperBall is drawn (at random) from ten b**lls numbered 21 through 30. When you buy a ticket, you select three numbers from 1-20 and one number from 21-30. To win the jackpot, the numbers on your ticket must match the three white b**lls and the SuperBall. (You don't need to match the white b**lls in order).

If you buy a ticket, what is your probability of winning the jackpot?

May 30, 2021

The probability that you get those exact three is $\frac{1}{\binom{20}{3}}$. The probability that you get the SuperBall is $\frac{1}{10}$. Multiply them.