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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?

PS IMPORTANT: PLEASE EXPLAIN HOW YOU GOT TO THE ANSWER/PROCESS!

 Feb 11, 2021
edited by MathSolverForLYFE  Feb 11, 2021
 #1
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this problem is everywhere and most of them are wrong so feel free to check out some websites on google

 

https://math.stackexchange.com/questions/1387302/jackpot-probablity

https://web2.0calc.com/questions/please-help_76234

https://brainly.com/question/15438769

https://istudy-helper.com/mathematics/question19931329

https://www.freemathhelp.com/forum/threads/probability.124026/

https://web2.0calc.com/questions/stuck-on-a-problem

https://web2.0calc.com/questions/insert-title-here_1

 Feb 11, 2021
 #2
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Oh. I didn't know ;-; but can you maybe help me with the process/if you know how to answer explain the process? I don't just want answer links. Thanks for taking the time out of your day to find those links though, I will surely check them out!

MathSolverForLYFE  Feb 11, 2021
 #3
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On average, 1 out of 10 times you will draw the AwesomeBall (and this wins all by itself so we don't care what the other balls are) for a winning probability of 0.10.

 

Now, for the 9 out of ten times that you do not draw the AwesomeBall:

We will have to get a losing blue ball, I'll call that B (and the probability of getting that losing ball is 0.90).

We can win by getting two or more of the white balls. I'll classify a winning white ball (whose probability is 1/10 = 010)

as W and a losing white ball as L (whose probability is 9/10 = 0.90).

So, we can still win if we have this:

B x W x W x W   =   (0.90) x (0.10) x (0.10) x (0.10)   =  0.0009

B x W x W x L    =   (0.90) x (0.10) x (0.90) x (0.10)   =  0.0081

B x W x L x W    =   ...

B x L x W x W    =   ...

 

Since these are independent, add the above 5 results together, to get 47/200.

 Feb 11, 2021

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