Question
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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)
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)
Answers
GPT 3.5
The probability of drawing a diamond on the first draw is 13/52 since there are 13 diamond cards out of a total of 52 cards.
After drawing a diamond on the first draw, there are 12 diamond cards left out of a total of 51 cards for the second draw.
Therefore, the probability of drawing two diamond cards is (13/52) * (12/51) = 0.0588
Converting this to percent form, we get 5.88%.
So, the probability of drawing two diamond cards is 5.88%.
After drawing a diamond on the first draw, there are 12 diamond cards left out of a total of 51 cards for the second draw.
Therefore, the probability of drawing two diamond cards is (13/52) * (12/51) = 0.0588
Converting this to percent form, we get 5.88%.
So, the probability of drawing two diamond cards is 5.88%.