A standard deck of 52 cards contains four suits hearts 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

1 answer

There are a total of 13 diamond cards in the deck.

The probability of drawing a diamond card on the first draw is 13/52.

After drawing one diamond card, there are now only 12 diamond cards left in the deck out of a total of 51 cards.

Therefore, the probability of drawing a second diamond card is 12/51.

To find the overall probability of drawing two diamond cards, we multiply the individual probabilities:

(13/52) * (12/51) = 0.05882

Converting this to a percentage form and rounding to the nearest hundredth:

0.05882 * 100 = 5.88%

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