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 a total of 13 diamond cards in the deck. When the first card is drawn, there are 52 cards in the deck, and 13 of them are diamonds. So, the probability of drawing a diamond on the first draw is 13/52.
After drawing one diamond card, there are now 51 cards left in the deck, with only 12 diamonds remaining. So, the probability of drawing a second diamond card is 12/51.
To find the probability of drawing two diamond cards, we multiply the probabilities of each draw:
(13/52) x (12/51) = 0.0588
Converting this to percent form and rounding to the nearest hundredth, we get:
0.0588 x 100 = 5.88%
Therefore, the probability of drawing two diamond cards is 5.88%.