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?

There are 26 black cards in a 52-card deck, so the probability of drawing a black card first is 26/52 = 1/2. Since the card is replaced, all 52 cards are available for the second draw; the probability of drawing a heart is 13/52 = 1/4. Multiply the probabilities: 1/2 × 1/4 = 1/8, so the answer is one eighth.

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