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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?

 Aug 11, 2021
 #1
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+1

please help this is what i got but it was wrong

 

1/10 chance of getting a red ball

case getting two balls:

1/10*1/9 = 1/90

case getting three balls:

1/10*1/9*1/8 = 1/720

1/90 + 1/720 = 1/80

1/80 + 1/10 = 9/80

 Aug 11, 2021
 #4
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Note that when getting two white balls to match it might be the first ball and the second ball, or the first ball and the third ball, or the second ball and the third ball.

 

In each of the above cases you must account for the fact that the other white ball does not match.

Alan  Aug 11, 2021
edited by Alan  Aug 11, 2021
 #2
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Thanks Answer guest.

 

I have not looked at the answer but asker guest, it is up to you to accept or reject it.

It is polite to comment anyway ... but if you have queries or concerns make sure you voice (or type) them.

 Aug 11, 2021
 #3
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im asker guest and answer guest is also me and i need help finding what i did wrong

Guest Aug 11, 2021
 #5
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okay, so do you understand what Alan has told you?

 

Thanks Alan :)

Melody  Aug 12, 2021

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