Three cards are taken out of a deck.

Question

1.Three cards are taken out of a deck. What is the probability that the third card is a red

face card or a king given the first is the king of hearts and the second is the queen of

diamonds? Please show all steps, thank you.

Answer 1

After the first card (king of hearts) has been drawn, there are 51 total cards left including 2 heart face cards and 3 diamond face cards as well as the king of spades and the king of clubs.

After the second draw (queen of diamonds),there are 50 total cards left including 2 heart face cards and 2 diamond face cards as well as the king of spades and the king of clubs.

So for the third draw, there are 6 cards that could be drawn to be successful in the desired "red face card or a king" (queen of hearts, jack of hearts, king of diamonds, jack of diamonds, king of spades, and king of clubs). So the probability of drawing a "red face card or a king" is 6/50 which is the same as 3/25.

Answer 2

51 cards remain.

4 red face cards remain

3 kings remain

(4 / 51) + (3 / 51) = ?