A standard deck of 52 cards contains four suits heard diamonds clubs and spades each suit has 13 cards ace 2,3,4,5,6,7,8,9,10 jack queen and king two cards are randomly drawn without replacement calculate the probability of drawing two diamond cards express your answer in percent form rounding to the nearest hundredth

Answer 1

There are 13 diamond cards in a standard deck of 52 cards.

When choosing the first card, the probability of selecting a diamond card is 13/52 = 1/4.

After selecting a diamond card in the first draw, there are 12 diamond cards left in the remaining 51 cards.

Therefore, the probability of selecting a second diamond card after already selecting one is 12/51.

To calculate the probability of drawing two diamond cards, we multiply the probabilities of each event:
(1/4) * (12/51) = 3/51 = 1/17

Converting the probability to a percentage:
(1/17) * 100 ≈ 5.88%

Therefore, the probability of drawing two diamond cards from a standard deck of 52 cards is approximately 5.88%.