what is the probability that a black card is chosen first and a heart is chosen second?

Question

In a standard deck of cards there are 13 spades, 13 clubs, 13 hearts, and 13 diamonds. The spades and the clubs are black and the hearts and the diamonds are red.

Answer 1

So the probability of drawing a black card is 26/52 or (1/2).

The probability of then drawing a heart is 13/51 (there are now only 51 cards in the deck because one black one went away)

 

Then multiply the fractions together

(1/2)(13/51) = 13/102