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)
There are 13 diamond cards in a deck of 52 cards.
The probability of drawing a diamond card on the first draw is 13/52.
After removing one diamond card from the deck, there are now 12 diamond cards remaining out of 51 cards total.
Therefore, the probability of drawing another diamond card on the second draw is 12/51.
To find the probability of drawing two diamond cards, we multiply the probabilities of the two events:
(13/52) * (12/51) = 1/4 * 4/17 = 1/17 ≈ 0.0588
To express this as a percentage, we multiply by 100:
0.0588 * 100 = 5.88%
Therefore, the probability of drawing two diamond cards is approximately 5.88%.