Probability of birds

Question

Three birds are randomly removed from a bird cage that contains a canary, a parrot, a robin, a cardinal, a blue jay, a hummingbird, and a sparrow. Find P(canary, given parrot)

Answer 1

7 birds. We can choose 3 of them in 7 C 3 ways

If a parrot is one of them, and we pick a canary, there are only 5 ways to do this (we can pick the 3rd bird in 5 ways)

So probability is 5 / (7 C 4)