# Math Probability *Repost*

posted by .

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* -

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* -

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* -

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* -

Thanks

## Similar Questions

1. ### Statistics

"Buy a Match 6 lottery ticket every day until you win the lottery. (In a Match 6 lottery, a player chooses 6 different numbers from the set {1, 2, 3, ..., 44}. A lottery representative draws 6 different numbers from this set. To win, …
2. ### probability

Ryan spent a dollar on a Tri-State Megabucks ticket, enticed by a big jackpot. Ryan chose six different numbers from 1 to 40, inclusive, hoping that hey would be the same numbers draw later by lottery officials. Sad to say, none of …
3. ### math

Keno is a casino game in which the player has a card with the numbers 1 through 80 on it. The player selects a set of k numbers from the card, where k can range from one to fifteen. The "caller" announces twenty winning numbers, chosen …
4. ### Math

a certain state's lottery game, lotto, is set up so that each player pays \$1 per ticket and chooses six different numbers from 1 to 49. if the six numbers chosen match the six numbers drawn each Saturday evening, the player wins the …
5. ### Math

PLEASE HELP I DON'T KNOW WHAT TO DO D': I don't understand what to do or how to even start.... In the town of Niceville, a local lottery is held once a year for the residents. Lottery tickets cost 50 cents apiece. Each lottery ticket …
6. ### Math Probability

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 …
7. ### Math Probability

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.(the order doesn't matter) If the six numbers chosen match the six numbers drawn, …
8. ### Math

HELP A Certain state's lottery LOTTO, is set up so that each player pays \$1 per ticket and chooses six different numbers from 1 to 49. if the six numbers chosen match the six numbers drawn each Saturday evening, the player wins the …
9. ### math

to win the lotto you must choose six different numbers from 1 to 44 to match the same numbers drawn. the order of the numbers does not matter. what is the probability of winning
10. ### math

Winning the jackpot in the connecticut classic lotto requires that you choose six different numbers from 1 to 44, and your numbers must match the same six numbers that are later drawn. the order of the selected numbers does not matter. …

More Similar Questions