Question

Probablity question

Answer 1

In a lottery, a person choses six different natural numbers at random from 1 to 20,
and if these six numbers match with the six numbers already fixed by the lottery
committee, he wins the prize. What is the probability of winning the prize in the
game?

Answer 2

Well, for the first number, there would be 20 number choices.
For the second, there would be 19.
For the third there would be 18.
You get the pattern, right?

Answer 3

20!

Answer 4

uh, not quite, there are only 6 numbers on the ticket

following jf04's logic, we see that

first number --> 20 choices
second number --> 19 choices, etc.

we stop when we get to the sixth number, giving us:

20*19*18*17*16*15

so our probability is 1/(20*19*18*17*16*15)

Answer 5

ok thnks