Please can anyone help


In the SuperLottery, three balls are drawn (at random, without replacement) from white balls numbered from 1 to 12, and one SuperBall is drawn (at random) from red balls numbered from 13 to 20. When you buy a ticket, you choose three numbers from 1 to 12, and one number from 13 to 20.


If the numbers on your ticket match one of the three white balls and the red SuperBall, then you win a super prize. (You don't need to match the white balls in order). What is the probability that you win a super prize?

 Jan 27, 2023

There are \({12 \choose 3} = 220\) ways to choose the white balls, and there are 8 ways to choose the SuperBall.


There is only 1 way to match all 4 numbers, so the probability is \({1 \over 220 \times 8} = \color{brown}\boxed{1 \over 1760}\)

 Jan 27, 2023

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