You are dealt one card from a standard​ 52-card deck. Find the probability of being dealt a cardnbsp greater than 3 and less than 6.
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Part 1
The probability of being dealt a cardnbsp greater than 3 and less than 6 is

enter your response here.
​(Type an integer or a simplified​ fraction.)

To solve the problem of finding the probability of being dealt a card greater than 3 and less than 6 from a standard 52-card deck, we need to identify which cards satisfy the condition and then determine the probability based on the total number of cards.

### Step-by-Step Solution:

1. **Identify the Cards:**
   - The cards greater than 3 and less than 6 are 4 and 5.

2. **Count the Number of Such Cards:**
   - There are 4 suits (hearts, diamonds, clubs, spades) in a deck.
   - Each suit has one 4 and one 5.
   - Therefore, there are 2 cards (4 and 5) in each suit.
   - Total number of such cards = 2 cards/suit * 4 suits = 8 cards.

3. **Total Number of Cards in the Deck:**
   - A standard deck has 52 cards.

4. **Calculate the Probability:**
   - Probability \( P \) is the ratio of the number of favorable outcomes to the total number of possible outcomes.
   - \( P \) = Number of favorable outcomes / Total number of possible outcomes
   - \( P \) = 8 / 52
   - Simplify the fraction: \( \frac{8}{52} = \frac{2}{13} \)

Thus, the probability of being dealt a card greater than 3 and less than 6 is \( \frac{2}{13} \).

If you have any further questions or need additional details, feel free to ask!

### Suggested Questions:
1. What is the probability of drawing a face card from a standard 52-card deck?
2. How many red cards are in a standard deck of cards?
3. What is the probability of drawing an Ace from a standard deck?
4. How many ways can you draw two cards from a standard deck without replacement?
5. What is the probability of drawing a card that is either a King or a Queen from a standard deck?

### Tip:
When dealing with probabilities in a deck of cards, it is useful to remember the composition of the deck, such as the number of suits, face cards, and other special categories. This helps in quickly identifying favorable outcomes for various probability questions.

Learn how to calculate the probability of being dealt a card greater than 3 and less than 6 from a standard 52-card deck. Step-by-step solution with formulas and detailed explanation. Suitable for Grades 6-8.

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