A standard deck of playing cards has 52 cards: 13 spades, 13 clubs, 13 hearts, and 13 diamonds. What is the probability of drawing a spade from a standard 52-card deck, replacing it, and then drawing another spade? Show your work or explain how you got your answer.

Question

Asa Herring

Mathematics

28 September, 11:05

A standard deck of playing cards has 52 cards: 13 spades, 13 clubs, 13 hearts, and 13 diamonds. What is the probability of drawing a spade from a standard 52-card deck, replacing it, and then drawing another spade? Show your work or explain how you got your answer.

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Answers (1)

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Colin Ford · Answer 1

13 / 52 = 1/4 chances.

There are 13 spades and 52 cards. You divide the spades and cards in the deck to find your chances of drawing one.

You have a 25% chance of getting a spade.

Now you put it back. Since you put it back, you still have the same number of cards and the same number of spades. So when you divide 13/52 again, the numbers are still the same. 1/4. 25% chance.

So, you still have a 25% chance the second time around.