## 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 R

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.) *

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Math
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2021-09-14T00:10:29+00:00
2021-09-14T00:10:29+00:00 1 Answer
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## Answers ( )

Answer:0.063Step-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

0.063to the nearest thousandth.