A fair die is rolled. Find the probability of throwing a number less than 3 .

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To find the probability of throwing a number less than 3 when rolling a fair die, we can follow these steps:

1. **Identify the total number of outcomes**: A fair die has 6 faces, numbered from 1 to 6. Therefore, the total number of possible outcomes when rolling the die is 6.

2. **Identify the favorable outcomes**: The numbers less than 3 on a die are 1 and 2. Thus, the favorable outcomes are:
   - 1
   - 2

This gives us a total of 2 favorable outcomes.

3. **Calculate the probability**: The probability $$ P $$ of an event is given by the formula:
   $$
   P = \frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}
   $$

Substituting the values we have:
   $$
   P = \frac{2}{6}
   $$

4. **Simplify the fraction**:
   $$
   P = \frac{1}{3}
   $$

Thus, the probability of throwing a number less than 3 when rolling a fair die is $$ \frac{1}{3} $$.
The probability of throwing a number less than 3 is $$ \frac{1}{3} $$.

A fair die is rolled. Find the probability of throwing a number less than 3 .

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