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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?
 

I'm quite stumped on this question as this may not be correct but there are 4 ways of "victory,"

you either get 2 white balls with no red ball, 

get 3 white balls with no red ball,

 

get 2 white balls with a red ball,

 

get 3 white balls with a red ball,

 

get 1 white ball with a red ball,

 

get 0 white balls with a red ball.

I may be incorrect, can you please help me?

 Nov 2, 2021
 #1
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The probability is 46/175.

 Jan 5, 2022

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