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.
There are a total of 13 diamond cards in the deck.
For the first draw, the probability of drawing a diamond card is 13/52 = 1/4.
For the second draw, after one diamond card has been already drawn, there are 12 diamond cards left out of 51 cards.
So, the probability of drawing another diamond card on the second draw is 12/51.
To find the probability of both events happening, we multiply the probabilities:
(1/4) * (12/51) = 3/51 = 1/17
To express this in percent form, we divide 1 by 17 and then multiply by 100:
(1/17) * 100 ≈ 5.88%
Therefore, the probability of drawing two diamond cards is approximately 5.88%.