Question

Question #b8f5a

Answer 1

Probability of getting exactly one prize would be: `~~ 20.5%`

Explanation:

Total of 100 tickets
you buy 4 tickets
and there are 6 prizes

you are looking for all the different ways you can win 1 prize

thus 6 out of the 100 tickets are winning tickets.

Thus you are wanting to choose 1 out of the 6 winning tickets, and then you want to choose 3 out of the 94 loosing tickets.

The amount of ways you can do this is:

`C_1^6 C_3^94 = 804264`

then you will divide that by the amount of ways you can choose 4 out the 100 tickets, which is:

`C_4^100= 3921225`

Therefor the probability of getting exactly 1 winning ticket is:

`(C_1^6 C_3^94 )/C_4^100 = 804264/3921225 ~~ 0.205`