You are dealt one card from a​ 52-card deck. Find the probability that you are not dealt a heart.

To find the probability that you are not dealt a heart from a 52-card deck, follow these steps:

1. **Total number of cards**: A standard deck has 52 cards.
2. **Number of hearts in the deck**: There are 13 hearts in the deck (one for each rank: Ace, 2, 3, ..., 10, Jack, Queen, King).
3. **Number of non-heart cards**: The non-heart cards are the remaining cards after excluding the hearts. So, there are \( 52 - 13 = 39 \) non-heart cards.

4. **Probability of not getting a heart**: The probability is given by the ratio of the number of non-heart cards to the total number of cards.

\[
\text{Probability} = \frac{\text{Number of non-heart cards}}{\text{Total number of cards}} = \frac{39}{52}
\]

5. **Simplify the fraction**:

\[
\frac{39}{52} = \frac{3}{4} = 0.75
\]

Thus, the probability that you are not dealt a heart is **0.75** or **75%**.

Would you like more details or have any questions?

Here are 8 related questions for further exploration:

1. What is the probability of being dealt a heart?
2. What is the probability of being dealt a red card?
3. If two cards are dealt, what is the probability that neither is a heart?
4. What is the probability of being dealt an Ace?
5. How would the probability change if the deck had jokers included?
6. What is the probability of being dealt a face card (Jack, Queen, or King)?
7. What is the probability of being dealt a card from the spades suit?
8. What is the probability of being dealt a numbered card (2 through 10)?

**Tip**: When dealing with probabilities in card games, remember that the sum of the probabilities of all possible outcomes equals 1.

Learn how to calculate the probability of not being dealt a heart from a standard 52-card deck. This problem involves basic probability concepts and counting principles. Suitable for students in Grades 6-8.

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