Posted by Tina on Sunday, December 1, 2013 at 10:58pm.
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?

Math Probability *Repost*  Reiny, Sunday, December 1, 2013 at 11:22pm
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

Math Probability *Repost*  Tina, Sunday, December 1, 2013 at 11:28pm
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?

Math Probability *Repost*  Reiny, Sunday, December 1, 2013 at 11:34pm
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

Math Probability *Repost*  Tina, Monday, December 2, 2013 at 12:09am
Thanks
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