1. Playing cards

You draw a card at random from a standard deck of 52 cards. Find each of the following probabilities:
a. The card is a heart, given that it is red.
b. The card is red, given that it is a heart.
c. The card is an ace, given that it is red.
d. The card is a queen, given that it is a face card.

2. a) under assumption you draw a red card, probability of heart is 13/26, there are 26 red cards and 13 heart cards in the deck
b)13/13 because all hearts are red
c) 2/26
d) there are 4*4 face cards (i think ace is not a face card) and 4 queens, so 4/16.

3. Originally Posted by jalko
a) under assumption you draw a red card, probability of heart is 13/24, there are 24 red cards and 13 heart cards in the deck
I think jalko meant 26 red cards in the deck here. So probability of a heart = 13/26 = 0.5

4. Ok thank you, I also think so, but I just want to make myself sure

5. I still have some doubts about d) because there are 4x3=12 face cards

6. It's possible, i don't play cards so much and my elementary math obviously stayed behind for now.

google said you are right.