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.

Question

If a person buys one LOTTO ticket, what is his probability of winning the grand price?

Answer 1

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

Answer 2

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?

Answer 3

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

Answer 4

Thanks