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, king. Three cards are randomly drawn without replacement. Calculate the probability of drawing three heart cards.
1.5%
2.3%
1.9%
1.3%
To calculate the probability of drawing three heart cards out of 52 cards, we first need to find the total number of ways we can choose 3 cards from the 13 hearts, which is given by the combination formula:
C(13,3) = 13! / (3! * (13-3)!) = 286
Next, we need to find the total number of ways we can choose 3 cards from the total 52 cards:
C(52,3) = 52! / (3! * (52-3)!) = 22100
Finally, the probability of drawing three hearts is given by:
286 / 22100 ≈ 0.013 or 1.3%
Therefore, the correct answer is 1.3%.