Question

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?

Answer 1

13 spades, 52 cards total

probability of drawing a single spade = 13/52 = 1/4

If we replace that card, then the probability of drawing of drawing a spade is still 1/4 as nothing has changed

Overall, the probability of getting two spades in a row is (1/4)*(1/4) = 1/16

note: the two events are independent because of the replacement happening

---------

The answer as a fraction is 1/16

As a decimal, that would be 0.0625 which converts to 6.25%