3. A fair six-sided die is rolled. What is the probability of rolling a number less than 4?

A fair six-sided die has six outcomes: \(1, 2, 3, 4, 5, 6\). To find the probability of rolling a number less than 4, we consider the outcomes that satisfy this condition.

### Step 1: Identify favorable outcomes
The numbers less than 4 are \(1, 2, 3\). Thus, there are 3 favorable outcomes.

### Step 2: Total outcomes
The total number of possible outcomes for rolling a six-sided die is \(6\).

### Step 3: Calculate the probability
The probability \(P\) of rolling a number less than 4 is given by:
\[
P = \frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}
\]
Substituting the values:
\[
P = \frac{3}{6} = \frac{1}{2}
\]

### Final Answer:
The probability of rolling a number less than 4 is:
\[
\boxed{\frac{1}{2}}
\]

Would you like a deeper explanation or help with a similar problem?  

Here are 5 related questions to expand your understanding:
1. What is the probability of rolling an even number on a six-sided die?
2. What is the probability of rolling a number greater than 4 on a six-sided die?
3. If you roll two six-sided dice, what is the probability of the sum being less than 5?
4. What is the probability of rolling a specific number (e.g., 6) on a fair die?
5. How does the probability change if the die is biased instead of fair?

**Tip:** Always confirm the total number of outcomes before calculating probabilities to avoid mistakes.

A fair six-sided die is rolled. What is the probability of rolling a number less than 4?

Understand how to calculate the probability of rolling a number less than 4 on a fair six-sided die. This problem explores basic probability concepts, sample space analysis, and step-by-step calculations. Ideal for students in Grades 6-8.

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