I need help please its Probability Conditional Probability and I don't understand it please help me and thank you in advance :)

Question

Consider drawing a card at random from a standard deck of cards.

Part A: Determine the probability that the card is a spade, given that it is black.

Part B: Determine the probability that the card is red, given that it is a heart.

Part C: Determine the probability that the card is an ace, given that it is black.

Part D: Determine the probability that the card is a queen given that it is a face card.

Answer 1

P(A|B) = P(A and B)/P(B)

For example, in part A

P(Black)=.5

P(Spade and black)=.25

P(Spade|Black)=.25/.5=.5

The remaining questions work the same way and you should try them yourself. If you get stuck, then ask a particular question.