2
$\begingroup$

A state runs a lottery called “Pick 6.” A player buys a lottery ticket showing 6 of the numbers from 1 through 40. Then a set of 6 numbers is chosen as the winning numbers, and anyone whose ticket matches those numbers wins a prize. (The order of the numbers does not matter.)

I know the answer is 1 over 40C6. Could you briefly explain how to get this solution?

Improve this question
$\endgroup$

1 Answer 1

Reset to default
0
$\begingroup$

There are $N={40\choose 6}$ different combinations of numbers possible in the lottery, and the player chooses one of them. The probability of choosing the correct one is $1/N$.

Improve this answer
$\endgroup$

Your Answer

By clicking “Post Your Answer”, you agree to our terms of service and acknowledge you have read our privacy policy.

Not the answer you're looking for? Browse other questions tagged or ask your own question.