+0  
 
0
45
14
avatar

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 the three white balls and the red SuperBall, then you win the jackpot. (You don't need to match the white balls in order). What is the probability that you win the jackpot?

 May 22, 2020
 #1
avatar+1498 
+3

This is from AoPS Intro To Counting, do not give full answers, partial ok.

 

I know because I did this one before.

 
 May 22, 2020
 #2
avatar
+1

But can you help? Im stuck on this.

 
Guest May 22, 2020
 #3
avatar+1498 
+2

What week and question number?

 

I will try to find it in one of my saved PDFs of the course.

 
hugomimihu  May 22, 2020
 #4
avatar
0

week 7 problem 5 part a

 
Guest May 22, 2020
 #5
avatar+1498 
+2

Alright give me a minute

 
hugomimihu  May 22, 2020
 #6
avatar+111321 
+3

Ways to choose  3 balls out of 10 =  10C3  =  120

 

Ways to choose 1 ball from 10  =   10

 

Does that help????

 

 

cool cool cool

 
 May 22, 2020
 #8
avatar
+1

Thank you guys for helping me! I really apreciate the help!

 
Guest May 22, 2020
 #10
avatar+1498 
+3

Yeah CPhill said what I was going to say.


Thanks, Cphill!

 
hugomimihu  May 22, 2020
 #14
avatar+111321 
+1

NP, hugo......

 

 

cool cool cool

 
CPhill  May 22, 2020
 #7
avatar+675 
+3

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.

Hope this helps, whymenotsmart^m^. Guest, you can take it from here.

 
 May 22, 2020
edited by whymenotsmart  May 22, 2020
edited by whymenotsmart  May 22, 2020
 #9
avatar+675 
+3

oops, I accidently gave the whole answer, sry

 
 May 22, 2020
 #11
avatar+1498 
-1

EDIT IT

 
hugomimihu  May 22, 2020
 #12
avatar
0

Wait. 1/1200 is right...

 
 May 22, 2020
 #13
avatar+675 
+3

yeah, I just accidently told you the answer:(

 
 May 22, 2020

4 Online Users