Question

You randomly select 2 cards from a standard deck of 52 playing cards.

What is the probability that all 2 cards are diamonds when you REPLACE
each card before selecting the next card? (If you use decimals, round
your answer to the nearest thousandth, which is 3 decimal places.) *

Answer 1

0.063

Explanation:

There are 13 diamonds in a 52-card deck. The probability of drawing a diamond on the first play is 13/52. If this card is replaced and the deck is shuffled, the same probability applies to selecting the next card. The selection events are independent.

Thus, the probability that all 2 cards are diamonds when you REPLACE

each card before selecting the next card is (13/52)^2 = 0.0625, or 0.063 to the nearest thousandth.