Question

In a certain lottery, three white balls are drawn (at random) from ten balls numbered from $1$ to $10$, and one red SuperBall is drawn (at random) from ten balls numbered from $11$ to $20$. When you buy a ticket, you select three numbers from $1$ to $10,$ and one number from $11$ to $20$. To win the jackpot, the numbers on your ticket must match the three white balls and the red 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

Answer 1

1/7,200 or 0.01389%

Step-by-step explanation:

since you have to choose three numbers and one superball to win the lottery, your chances will be:

chances of getting the 3 white numbers = 1/10 x 1/9 x 1/8 = 1/720

chance of getting the superball = 1/10

chances of winning the jackpot = 1/720 x 1/10 = 1/7,200 = 0.01389%

Answer 2

0.00083

Step-by-step explanation:

Number of white balls = 10

Number of white balls drawn = 3

Number of red superbowl = 10

Number of red superbowl drawn = 1.

Probability of drawing first white ball = 3/10

Probability of drawing second white ball = 2/9

Probability of drawing third white ball = 1/8

Probability of drawing red superbowl = 1/10

To win the jackpot, we have:

`(3)/(10) * (2)/(9) * (1)/(8) * (1)/(10)`

= 0.00083