Question

Two cards are selected from a standard deck of 52 playing cards. the first is replaced before the second card is selected. find the probability of selecting a diamond and then selecting a king.

Answer 1

Hello!

If a card is replaced, both probabilities will be out of the same amount of cards as it was replaced.

First of all, 1/4 of the cards are diamonds, so we have a 1/4 chance of selecting a diamond.

Next, there are four kings in the deck, and 4/52 is equivalent to 1/13.

Finally, we multiply the two probabilities, so 1/13·1/4=1/52.

There is a 1/52 chance of this event.

Hope this helps!