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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 asking this again, because the original post did not have any correct answers. Link to original post: https://web2.0calc.com/questions/in-the-superlottery-three-balls-are-drawn-at-random

 Jul 22, 2021
 #1
avatar+35059 
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Here is my take on this one:

 

Matching two AND Superball

10 c 2 = 45

10 c 1 = 10     (for Superball)           45 * 10 = 450  possibles for matching TWO numbers correct and Super

 

Matching THREE and superball

 

10C3 = 120

10C1 = 10      (for Superball)            120*10 = 1200  possibles for matching THREE numbers and Super

 

Matching two 

45

matching three

120

matching superball

10

 

YOU get ONE ticket     1 out of 450   + 1 out of 1200 + 1 out of 45 + 1 out of 120 + 1 out of 10

                                         1/450                1/1200            1/45               1/120              1/10       = 481/3600

Different answer....I do NOT know if it is correct!

 Jul 22, 2021
edited by ElectricPavlov  Jul 22, 2021
edited by ElectricPavlov  Jul 22, 2021
 #2
avatar+55 
0

Thanks so much for replying! But this isnt correct

BigBoiChungus  Jul 22, 2021

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