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 on the first draw is 13/52 since there are 13 diamond cards out of the total 52 cards.
After drawing the first diamond card, there are 12 diamond cards left out of the total remaining 51 cards.
Therefore, the probability of drawing a second diamond card after already drawing one is 12/51.
To find the probability of both events happening, we multiply the probabilities:
(13/52) * (12/51) = 0.0588
To express this in percentage form rounded to the nearest hundredth, we multiply by 100:
0.0588 * 100 = 5.88%
Therefore, the probability of drawing two diamond cards is 5.88%.