Question

In its monthly report, the local animal shelter states that it currently has 24 dogs and 18 cats available for adoption. 8 of the dogs and 6 of the cats are male.

If two animals are selected at random, what is the probability that both are female cats?

Answer 1

42 animals
18-6 = 12 female cats
prob of female cat = 12/42

now we have 41 animals, 11 females cats
prob of female cat = 11/41

so
12/42 * 11/41