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In the SmallState Lottery, three white balls are drawn (at random) from twenty balls numbered 1 through 20, and a blue SuperBall is drawn (at random) from ten balls numbered 21 through 30. When you buy a ticket, you select three numbers from 1-20 and one number from 21-30. To win the jackpot, the numbers on your ticket must match the three white balls and the SuperBall. (You don't need to match the white balls in order).

If you buy a ticket, what is your probability of winning the jackpot?

 
rohitaop  Jun 12, 2018
 #1
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nCr =20C3 =20! / {[20 - 3]!. 3!} =1,140 to 1 of matching 3 white balls.

1,140 x 10 =11,400 to 1 of matching 3 white balls and 1 SuperBall.

 
Guest Jun 12, 2018
 #2
avatar+959 
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Mr. BB, the question asks for probability, not odds.

 

Your equation

nCr =20C3 =20! / {[20 - 3]!. 3!} =1,140 to 1

is SLOP! 

 

Why would you expect any student to understand this unconventional hodgepodge of SLOP?

In this case, nCr stands for “no Crap required.” None is required, because you’ve maxed it out!

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Sir CPhill presents a coherent solution here.

 
GingerAle  Jun 13, 2018
 #3
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You should be ashamed for your incorrect answer, GUEST!

 
Guest Jun 13, 2018

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