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In the SmallState Lottery, three white balls are drawn (at random) from ten balls numbered $1$ through $10$, and a blue SuperBall is drawn (at random) from ten balls numbered $11$ through $20$. When you buy a ticket, you select three numbers from $1$-$10$ and one number from $11$-$20$. 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?

 

In the SmallState Lottery, three white balls are drawn (at random) from ten balls numbered  through , and a blue SuperBall is drawn (at random) from ten balls numbered  through . When you buy a ticket, you select three numbers from - and one number from -. To win a prize, the numbers on your ticket must match at least two of the white balls or must match the SuperBall.

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

 Feb 9, 2020
 #1
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a) There are 10C3 = 120 possibilities for the 3 white balls that are drawn (since we don't care about the order), and 10 possibilities for the SuperBall. Thus there are 120*10 equally-likely winning numbers, and since your ticket must match the winning numbers, you have a 1/1200 chance of winning the jackpot.

 

 

 

b) I don't know the answer. 

 Feb 9, 2020
 #2
avatar+2847 
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I don't understand question B, it either may be my brain or it may be numerous typos in the problem

CalculatorUser  Feb 9, 2020

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