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To solve this problem, we need to calculate the probability of drawing a 3 from a standard deck of 52 cards.

### Step-by-step explanation:

1. **Total number of cards in the deck**:  
   A standard deck has 52 cards.

2. **Number of 3s in the deck**:  
   There are 4 suits (hearts, diamonds, clubs, spades), and each suit has one card with the value 3. Therefore, there are 4 cards that are 3s in the deck.

3. **Probability formula**:  
   The probability of an event is calculated as:
   \[
   P(\text{event}) = \frac{\text{number of favorable outcomes}}{\text{total number of possible outcomes}}
   \]
   In this case:
   \[
   P(\text{3}) = \frac{4}{52}
   \]

4. **Simplifying the fraction**:  
   The greatest common divisor (GCD) of 4 and 52 is 4, so we can simplify the fraction:
   \[
   \frac{4}{52} = \frac{1}{13}
   \]

### Final Answer:  
The probability of selecting a 3 from a well-shuffled standard deck of 52 cards is \( \frac{1}{13} \).

Would you like further clarification or details on any of these steps? Here are some related questions:

1. What is the probability of drawing a king from a deck of 52 cards?
2. What is the probability of drawing a red card from a standard deck?
3. If two cards are drawn, what is the probability that both are 3s?
4. How would the probability change if you removed one card from the deck?
5. What is the probability of drawing any face card from a standard deck?

**Tip**: Always reduce fractions to their simplest form when calculating probabilities to make your answer clear and concise.

If you randomly select a card from a well-shuffled standard deck of 52 cards, what is the probability that the card you select is a 3?

Calculate the probability of selecting a 3 from a standard deck of 52 cards. This problem explains how to apply basic probability concepts and simplify fractions to reach the solution. Suitable for middle school students (Grades 6-8).

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