Probability Unit Test
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Question
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)
The probability of drawing the first diamond card is 13/52 since there are 13 diamond cards out of 52 total cards.
After drawing the first diamond card, there are now 51 cards left in the deck, with 12 diamond cards remaining.
So, the probability of drawing the second diamond card is 12/51.
To find the overall probability of drawing two diamond cards, we multiply the probabilities:
(13/52) * (12/51) = 156/2652 ≈ 0.0588
Converting this to a percentage gives us 5.88%, rounded to the nearest hundredth.
Therefore, the probability of drawing two diamond cards is approximately 5.88%.