## anonymous 3 years ago A lottery game is set up so that each player chooses six different numbers from 1 to 15. If the six numbers match the six numbers drawn in the lottery, the player wins (or shares) the top cash prize. What is the probability of winning the prize with 50 different lottery tickets?

1. anonymous

damn another repeat from earlier today

2. anonymous

that one wasnt solved

3. anonymous

@satellite73 do you have the link?

4. anonymous

i am looking, but this one i think is easy to follow

5. anonymous

there are 6 numbers chosen and 15 possibilities for each, so by the counting principle there are $$15^6$$ equally likely outcomes

6. anonymous

you pick six, and assuming order does not matter there are $$6!$$ ways to arrange them

7. anonymous

so your probability of winning on any one ticket is $\frac{6!}{15^6}$ and if you do it fifty time i guess you have fifty time the chance of winning

8. anonymous

okay thanks!

9. anonymous

is that 6!/15^6