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)
( ) %
Since there are 13 diamonds in a deck of 52 cards, the probability of drawing a diamond on the first draw is 13/52. After drawing one diamond, there are 12 diamonds left in the remaining 51 cards, so the probability of drawing a second diamond is 12/51.
Multiplying these probabilities together:
(13/52) * (12/51) = 0.0588
Convert this to percent form by multiplying by 100:
0.0588 * 100 = 5.88%
Therefore, the probability of drawing two diamond cards is 5.88%.