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A standard deck of playing cards has 52 cards, 13 of each of four suits: clubs, diamonds, hearts, spades. What is the probability of selecting two hearts from a full deck with replacement?

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Selecting with replacement means each of the two choices is made from a full deck of 52 cards. We pick one card, look at it and record it, and then shuffle it back into the deck. Thus, each choice is independent. On each choice, the probability of picking a heart is 13/52 = 1/4, so the probability of doing this twice is (1/4)(1/4) = 1/16

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