What is the probability that card is a Queen, given that the card is black?

Question

One card is drawn from a standard deck of cards. What is the probability that card is a Queen, given that the card is black?

Answer 1

If you split the deck into black and red cards, you'll have 26 of each. In the black deck, there's a full set of each rank in Clubs and Spades, so there's 2 Queens.

 

The probability of drawing a Queen is therefore 2/26 = 1/13.

 

Hope this helps, and if you have further questions, please comment.