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 heart cards.
A. 7.25%
B. 25%
C. 5.88%
D. 7.69%
The probability of drawing a heart card on the first draw is 13/52 (since there are 13 heart cards out of 52 total cards).
After drawing a heart card on the first draw, there are now 12 heart cards left out of 51 total cards. Therefore, the probability of drawing a heart card on the second draw, given that a heart card was drawn on the first draw, is 12/51.
To find the probability of both events happening (drawing a heart card on the first draw and drawing a heart card on the second draw), we multiply the two probabilities:
(13/52) * (12/51) = 156/2652 ≈ 0.0588
Therefore, the probability of drawing two heart cards is approximately 5.88%, which corresponds to option C.