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?

A. 1/169
B. 3/51
C.1/16
D. 1/2

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?  

A. 1/169
B. 3/51
C.1/16
D. 1/2

cwrw238 · Answer

as there are 13 spades the probability of drawing a spade on first draw is 13/52 or 1/4
after replacing it and drawing again the probability is 1/4
since these 2 events are independent of each other the probabilities are multiplied

hence the answer is 1/4 * 1/4 = 1/16