1.probability of selecting a five given the card is a not a club clubs,hearts,spades,diamonds
there are 4 fives in standard deck
so, 3/52
2. a heart given the card is red.
there are 13 hearts in a deck
so,
13/52=1/4
3.a face card, given that the card is black.
there are 12 face cards in a deck and 6 of them are black
so,
6/52=3/26