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 13 diamond cards in the deck.
The probability of drawing a diamond card on the first draw is 13/52.
After drawing one diamond card, there are now only 12 diamond cards left in the deck out of a total of 51 cards.
Therefore, the probability of drawing a second diamond card is 12/51.
To find the overall probability of drawing two diamond cards, we multiply the individual probabilities:
(13/52) * (12/51) = 0.05882
Converting this to a percentage form and rounding to the nearest hundredth:
0.05882 * 100 = 5.88%
Therefore, the probability of drawing two diamond cards from a standard deck of 52 cards is 5.88%.