Math Probability *Repost*
posted by Tina on .
A certain state's lottery game, LOTTO, is set up so that each player pays $1 per ticket and chooses six different numbers between 1 and 20 inclusive. If the six numbers chosen match the six numbers drawn, the player wins the grand prize.
If a person buys one LOTTO ticket, what is his probability of winning the grand price?

As I stated in my previous reply to the same post ....
Number of ways to draw 6 numbers from 20
is C(20,6)
= 20!/(6!14!)
= 38760
so prob(winner) = 1/38760 
Okay, but I was wondering would you use the same method (combination) for this question
If a person buys 1000 LOTTO tickets, what is his probability of winning the grand prize? 
yes
if the prob of winning by buying 1 ticket is 1/38760
then the prob of winning with
1000 tickets is
= 1000(1/38760)
= 25/969 
Thanks