Question

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?

Answer 1

Answer:

318/1200 or 53/200(both are the same 53/200 is just simplified from 318/1200)

Step-by-step explanation:

Answer 2

Given Data;

Number of white balls = 10

Number of white balls that were drawn = 3

Number of red superbowl = 10

Number of red superbowl drawn = 1.

Probability of the first ball draw being white is; = 3/10

Since no replacement, then:

Probability of second draw being white ball is = 2/9

Probability of third draw showing the white ball = 1/8

Probability of drawing red superbowl = 1/10

To win the jackpot, since we are told that at least  the numbers on your ticket match at least two of the white balls or match the red SuperBall, then the probabilty of winning a top prize = 3/10 × 2/9 x 1/8 x 1/10 = 0.00083

probability that you win a super prize = 0.00083

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