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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