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.
*
3 points
1.5%
2.3%
1.9%
1.3%
The probability of drawing a heart card on the first draw is 13/52 = 1/4.
After drawing a heart card, there are only 12 heart cards left in the deck and 51 cards in total. So, the probability of drawing another heart card on the second draw is 12/51 = 4/17.
Similarly, after drawing two heart cards, there are only 11 heart cards left in the deck and 50 cards in total. So, the probability of drawing another heart card on the third draw is 11/50.
Therefore, the overall probability of drawing three heart cards is (1/4) * (4/17) * (11/50) = 0.013 = 1.3%.
So, the correct answer is 1.3%.