I am bad at probability/statistical math. I feel like one could binomial distro this somehow but I need help.

So given this table:

A 1/15

B 1/15

C 1/15

D 1/15

E 1/15

F 1/15

G 1/15

H 1/15

I 1/20

J 1/20

K 1/20

L 1/20

M 1/20

N 1/20

O 1/25

P 1/25

Q 1/25

R 1/25

If given 24 attempts what are the chances of getting 1 of each of these? Is there a scale where one could determine getting 17 of 18 is this, 16 of 18 is this, etc?