The probability of non-occurrence of an event is `5/12`. Find the probability of the occurrence of the event.

Explanation

To solve the problem, we need to find the probability of the occurrence of an event given that the probability of its non-occurrence is \( \frac{5}{12} \).

### Step-by-Step Solution:

1. **Understand the relationship between occurrence and non-occurrence**:
The probability of occurrence of an event (let's denote it as \( P(A) \)) and the probability of non-occurrence of the event (denote it as \( P(A') \)) are related by the equation:
\[ P(A) + P(A') = 1 \]
This means that the sum of the probabilities of an event occurring and not occurring is always equal to 1.

2. **Identify the given probability**:
We are given that the probability of non-occurrence of the event is:
\[ P(A') = \frac{5}{12} \]

3. **Use the relationship to find the probability of occurrence**:
We can substitute the value of \( P(A') \) into the equation from step 1:
\[ P(A) + \frac{5}{12} = 1 \]

4. **Isolate \( P(A) \)**:
To find \( P(A) \), we subtract \( \frac{5}{12} \) from 1:
\[ P(A) = 1 - \frac{5}{12} \]

5. **Convert 1 into a fraction with a common denominator**:
We can express 1 as \( \frac{12}{12} \):
\[ P(A) = \frac{12}{12} - \frac{5}{12} \]

6. **Perform the subtraction**:
Now we subtract the fractions:
\[ P(A) = \frac{12 - 5}{12} = \frac{7}{12} \]

7. **Conclusion**:
Therefore, the probability of the occurrence of the event is:
\[ P(A) = \frac{7}{12} \]

### Final Answer:
The probability of the occurrence of the event is \( \frac{7}{12} \).