Probability Calculation

Question

What is probability that when I draw two cards, the first one is a queen and the second one is a heart, given that I do not replace the first card in a standard 52 card dekc..

Answer 1

The chance of drawing the queen of hearts is 1/52 and the chance of then drawing another heart is 12/51.

The chance of drawing one of the other queens followed by a heart is 3/52 and 13/51.

So, the overall chance is (1/52 * 12/51) + (3/52 * 13/51) = (12+39)/(52*51) = 51/(52*51) = 1/52