In a standard deck of cards, what is the probability of drawing a heart?

To determine the probability of drawing a heart from a standard deck of cards, we start by recognizing the total number of cards and how many of those are hearts. A standard deck contains 52 cards, divided into four suits: hearts, diamonds, clubs, and spades. Each suit consists of 13 cards.

The event of drawing a heart involves 13 favorable outcomes (the hearts in the deck). The probability of such an event is calculated by taking the number of favorable outcomes and dividing it by the total number of outcomes. In this case, there are 13 hearts out of a total of 52 cards.

The calculation would be as follows: Probability of drawing a heart = Number of hearts / Total number of cards = 13 / 52.

By simplifying this fraction, we find: 13 / 52 = 1 / 4.

Therefore, the correct answer is indeed that the probability of drawing a heart in a standard deck of cards is 1/4. This mathematical relationship provides a clear rationale for the answer and reflects the foundational principles of probability.