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?

Guest Feb 9, 2020

#1**0 **

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.

AnimalMaster Feb 9, 2020

#2**0 **

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