

Subject:
Probability: Lottery Question Veritication
Category: Reference, Education and News > Homework Help Asked by: unknownentityga List Price: $10.00 
Posted:
19 Nov 2006 14:54 PST
Expires: 19 Dec 2006 14:54 PST Question ID: 784086 
A lottery is set up so that each player chooses six different numbers from 1 to 15. If the six numbers match the six numbers drawn randomly in the lottery, the player wins the top cash prize. What is the probability of winning the prize with 1 ticket? What I have so far: 15c6=15!/(156)!6!=2,594,592,000 My answer is 1 in 2,594,592,000 to win the cash prize with 1 ticket. I want to make sure that is correct. 

Subject:
Re: Probability: Lottery Question Veritication
Answered By: answerguruga on 19 Nov 2006 19:09 PST Rated: 
Hi unknownentityga, Your approach is correct, however the calculation is not. Your intuition that your chances of winning this lottery is the inverse of the number of ways to choose any six numbers out of 15, without repeats. The MathWords site has more information on the combinations formula you were trying to use: http://www.mathwords.com/c/combination_formula.htm Applying the formula: n C r = n!/r!(nr)! 15 C 6 = 15!/6!9! = (1307674368000)/(261273600)= 5005 So the chance of winning with a single ticket is 1/5005, or roughly 0.02%. Hopefully that clears things up  thanks for using Google Answers. Cheers! answerguruga 
unknownentityga
rated this answer:
You're brilliant. :) 

Subject:
Re: Probability: Lottery Question Veritication
From: borisshahga on 20 Nov 2006 03:32 PST 
I cant believe that someone actually paid $10.00 for this. I learnt this in like 6th form or Year 12. 
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