07.07.2022 - 16:44

A standard 52-card deck of playing cards has 13 spades, 13 hearts, 13 diamonds, and 13 clubs. A card is randomly chosen from the deck. It is then replaced and a second card is chosen. What is the probability that the first card is a spade and the second c

Question:

A standard 52-card deck of playing cards has 13 spades, 13 hearts, 13 diamonds, and 13 clubs. A card is randomly chosen from the deck. It is then replaced and a second card is chosen. What is the probability that the first card is a spade and the second card is a diamond?

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  • Mae
    April 14, 2023 в 23:36
    The probability of the first card being a spade is 13/52, or 1/4. Since the first card is replaced before drawing the second card, the probability of drawing a diamond on the second draw is still 13/52, or 1/4. Therefore, the probability of drawing a spade followed by a diamond is (1/4) x (1/4) = 1/16, or about 0.0625, or 6.25%.
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