If one card is randomly selected from a well-shuffled standard deck of 52 cards, what is the probability that the card selected is a heart? Leave your answer as a reduced fraction.

A standard deck of 52 cards contains 4 suits: hearts, diamonds, clubs, and spades. Each suit has 13 cards.

To find the probability of selecting a heart, we use the formula for probability:

\[
\text{Probability} = \frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}
\]

- Number of favorable outcomes (hearts) = 13
- Total number of outcomes (cards in the deck) = 52

Thus, the probability is:

\[
\frac{13}{52}
\]

Now, we reduce the fraction by dividing both the numerator and denominator by 13:

\[
\frac{13 \div 13}{52 \div 13} = \frac{1}{4}
\]

Therefore, the probability of selecting a heart is \(\frac{1}{4}\).

Would you like further details or have any questions?

Here are 5 related questions:
1. What is the probability of selecting a club from the deck?
2. What is the probability of drawing an Ace from the deck?
3. If two cards are drawn, what is the probability that both are hearts?
4. What is the probability of drawing a red card (hearts or diamonds)?
5. What is the probability of drawing a face card (Jack, Queen, King)?

**Tip:** Always check if you can simplify a fraction by finding the greatest common divisor (GCD).

Explore how to calculate the probability of drawing a heart from a standard deck of 52 cards. This problem covers essential probability concepts, including the use of fractions and reducing them to their simplest form. Suitable for students in Grades 6-8.

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