+0  
 
0
56
1
avatar

In the SuperLottery, three balls are drawn (at random, without replacement) from ten white balls numbered from  to , and one SuperBall is drawn (at random) from ten red balls numbered from  to . When you buy a ticket, you choose three numbers from  to  and one number from  to .

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?

 Jul 22, 2022
 #1
avatar
0

Case 1: Superball

 

The probability is 1/10, because you choose 1 out of 10.

 

Case 2: 2 whites

 

The probability is 1/C(10,2) = 1/45, because you choose 2 out of 10.

 

Case 3: 3 whites

 

The probability is 1/C(10,3) = 1/120, because you choose 3 out of 10.

 

Adding these, you get 1/10 + 1/45 + 1/120 = 47/360.

 Jul 22, 2022

7 Online Users

avatar