A standard deck of playing cards has 52 cards divided into 4 suits: hearts, diamonds, clubs and spades, each with 13 cards. The favorable outcomes for drawing a heart are 13. Thus, the probability is the ratio of favorable outcomes to total outcomes, which is 13/52. This fraction simplifies to 1/4. So, the probability of drawing a heart is 1/4.
Option A:
Option A, 1/4, is exactly the simplified fraction 13/52. It acknowledges that there are four equally sized suits and that hearts constitute one of the four, giving a 25% chance on a single draw.
Option B:
Option B, 1/3, would require three suits or some other distribution of cards, which is not the case in a standard deck.
Option C:
Option C, 1/13, incorrectly treats the number of ranks as the total sample space, ignoring that each suit has all 13 ranks.
Option D:
Option D, 3/13, would imply that hearts comprise nearly one-quarter of the cards, but with a different count than the actual 13 per suit. It is not supported by the structure of the deck.
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