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)
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To calculate the probability of drawing two diamond cards, we need to consider the total number of ways two cards can be drawn from the deck and the number of ways two diamond cards can be drawn.
Total number of ways to draw two cards from a standard deck of 52 cards = ${52 \choose 2}$ = 1326
Number of ways to draw two diamond cards = ${13 \choose 2}$ = 78
Probability = Number of ways to draw two diamond cards / Total number of ways to draw two cards = 78 / 1326 = 0.0588
Converting this to percent form and rounding to the nearest hundredth, we get 5.88%.
Therefore, the probability of drawing two diamond cards from a standard deck of 52 cards is 5.88%