Probability Math Question Please Help!

You roll two fair dice.

(1) What is the probability that the sum is 5, given that at least one of
the numbers rolled is even? ________

(2) What is the probability that at least one number is even, given
that the sum is 5? _________

(3) What is the probability that at least one number is even, given
that the sum is 4? _________

1) We rule out all the "odd-odd' pairs:
1- {1,3,5}
3- {1,3,5}
5- {1-3-5}
total of 9 of the 36 possible rolls, leaving 27.
And of course all those sums are even, so none of them are 5.
The rolls which can be 5 are
1-4, 2-3, 3-2, 4-1
so P(5 | at least one even) = 4 / 27

2) You cannot roll 5 without an even number, so P(even | 5) = 1

3) 4 can be 1-3, 2-2, or 3-1, all equally likely
P(even | 4) = 1/3