Question

Using a standard deck of playing cards, what is the probability of drawing a four, replacing the card, and then drawing a club?

A. 1/26

B. 1/51

C. 17/52

D. 1/52

Answer 1

D. 1/52

Explanation:

There are four 4s in a deck of 52 cards, so there is a 4/52 chance of drawing a four on the first try.

Once you replace the card in the deck, the simulation starts over, meaning the events are independent and you are once again drawing from 52 possible cards.

Now, when you draw the club, the chance of this is 13/52 because there are 13 clubs in a deck.

Because events are independent, multiply the probabilities to determine the chance that both events occur.

`(4)/(52) * (13)/(52)` = 1/52