First, calculate the total number of ways to draw two cards from a standard deck of 52 cards without replacement. This can be done using the combination formula:
52 choose 2 = 52! / (2!(52-2)!) = 1326
Next, calculate the total number of ways to draw two diamond cards from the 13 diamond cards in the deck:
13 choose 2 = 13! / (2!(13-2)!) = 78
Now, calculate the probability of drawing two diamond cards by dividing the number of ways to draw two diamond cards by the total number of ways to draw two cards:
78 / 1326 ≈ 0.0588
Convert the probability to percent form by multiplying by 100:
0.0588 * 100 = 5.88%
Therefore, the probability of drawing two diamond cards from a standard deck of 52 cards is approximately 5.88%.
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.
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