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 point)
%
The probability of drawing a diamond card on the first draw is 13/52 since there are a total of 13 diamond cards out of 52 cards.
After the first card is drawn, there are now 51 cards remaining in the deck, including 12 diamond cards out of 51. Therefore, the probability of drawing a diamond card on the second draw, given that the first card was a diamond, is 12/51.
To calculate the probability of drawing two diamond cards in a row, we multiply the probabilities of the individual events:
(13/52) * (12/51) = 0.0588
Therefore, the probability of drawing two diamond cards is approximately 5.88%, rounded to the nearest hundredth.