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.) *

Respuesta :

Answer:

0.063

Step-by-step 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.