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 52 cards in a deck, out of which 13 are diamonds. So the probability of drawing a diamond card on the first draw is 13/52. After the first diamond card is drawn, there are 51 cards left in the deck, out of which 12 are diamonds. So the probability of drawing a diamond card on the second draw, given that the first draw was a diamond, is 12/51.
To calculate the probability of drawing two diamond cards, we multiply the probabilities of each draw:
(13/52) * (12/51) = 156/2652 = 0.0588
Converting this to a percentage and rounding to the nearest hundredth, we get:
0.0588 * 100 = 5.88%
Therefore, the probability of drawing two diamond cards from a standard deck of 52 cards is 5.88%.