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.

if two cards are chosen at random from a deck, one at a time, and replaced after each pick, what is the probability that a black card is chosen first and a heart is chosen second?

a: 1/8
b: 1/2
c: 2/3
d: 3/4

If they are replaced, then the two events become independent of each other.

So, it becomes, what is the probability that you will pick a black card? Since there are an equal amount of red and black, you will have 1/2 chance.

Now, what is the probability of selecting a heart? Well, we have 4 suits, so you'll have a 1 in 4 chance at selecting a heart.

Since we want them simultaneously, we have to multiply them together to yield: 1/8