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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1 answer

The probability of drawing a diamond card on the first draw is 13/52 since there are 13 diamond cards out of 52 total cards.

After the first diamond card is drawn, there are 12 diamond cards left out of 51 total cards on the second draw.

Therefore, the probability of drawing two diamond cards in a row is (13/52) * (12/51) = 0.0567 or 5.67%.

So, the probability of drawing two diamond cards is approximately 5.67%.