SOLUTION: Will you please correct my work? Thanks. Consider a lottery that sells 1000 tickets and awards two prizes. If you purchase 10 tickets, what is the probability that you will win

Question 48390: Will you please correct my work? Thanks.
Consider a lottery that sells 1000 tickets and awards two prizes. If you purchase 10 tickets, what is the probability that you will win a prize?
My solution: E = 1000
/ \
prizes 2 998 -unlucky numbers
1 1
E= 2C1 x 998C1 = 1996
S= 1000C2 = 499500
P= 1996/499500= .003996

Answer by cowess(34) (Show Source): You can put this solution on YOUR website!

My explanation: the question didn't limit you from winning two prizes, so you could win just one or two.

Buying 10 tickets means taking 10 tickets out of the 1000 tickets sold, and there's only 1000 tickets, so the ones you take out can't be put back in. That's why we use C instead of 1000 to the power of N.

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