To calculate the probability of drawing two diamond cards, we first need to determine the total number of ways to draw 2 cards from a deck of 52.
Total number of ways to draw 2 cards from a deck of 52:
= 52C2
= (52 * 51) / (2 * 1)
= 1326
Next, we need to determine the number of ways to draw 2 diamond cards from the deck.
Number of ways to draw 2 diamond cards:
= 13C2
= (13 * 12) / (2 * 1)
= 78
Finally, we calculate the probability by dividing the number of ways to draw 2 diamond cards by the total number of ways to draw 2 cards.
Probability of drawing two diamond cards:
= (Number of ways to draw 2 diamond cards) / (Total number of ways to draw 2 cards)
= 78 / 1326
= 0.0588
Converting this to percent form by multiplying by 100:
= 5.88%
Therefore, the probability of drawing two diamond cards from a standard deck of 52 cards is 5.88%, rounded to the nearest hundredth.
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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