A die is thrown once . Find
P(a number `lt`7),

Answer

To solve the problem of finding the probability of rolling a number less than 7 on a single die, we can follow these steps:

### Step-by-Step Solution:

1. **Identify the Sample Space**:
When a die is thrown, the possible outcomes (sample space) are the numbers on the die, which are {1, 2, 3, 4, 5, 6}.

2. **Determine the Favorable Outcomes**:
We need to find the numbers that are less than 7. The numbers in the sample space that are less than 7 are {1, 2, 3, 4, 5, 6}.

3. **Count the Total Outcomes**:
The total number of outcomes when throwing a die is 6 (since there are 6 faces on a die).

4. **Count the Favorable Outcomes**:
The favorable outcomes (numbers less than 7) are also 6 (1, 2, 3, 4, 5, 6).

5. **Calculate the Probability**:
The probability \( P \) of an event is given by the formula:
\[ P(\text{event}) = \frac{\text{Number of Favorable Outcomes}}{\text{Total Number of Outcomes}} \]
Substituting the values we found:
\[ P(\text{a number} < 7) = \frac{6}{6} = 1 \]

### Final Answer:
The probability of rolling a number less than 7 on a single die is \( P(a \text{ number} < 7) = 1 \).

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