The probability of intersection of two events A and B is always less than or equal to those favourable to the event A.

Explanation

To determine whether the statement "The probability of intersection of two events A and B is always less than or equal to those favorable to the event A" is true or false, we can analyze it step by step.

### Step-by-Step Solution

1. **Understanding the Events**:
- Let A and B be two events in a sample space S.
- The intersection of A and B, denoted as \( A \cap B \), represents the outcomes that are common to both events.

2. **Defining Probabilities**:
- The probability of event A occurring is denoted as \( P(A) \).
- The probability of event B occurring is denoted as \( P(B) \).
- The probability of the intersection of A and B is denoted as \( P(A \cap B) \).

3. **Using the Properties of Probability**:
- By the properties of probability, the probability of the intersection of two events cannot exceed the probability of either event. This can be mathematically expressed as:
\[ P(A \cap B) \leq P(A) \]
and
\[ P(A \cap B) \leq P(B) \]

4. **Visualizing with a Venn Diagram**:
- If we visualize this using a Venn diagram, we can see that the area representing \( A \cap B \) (the intersection) is contained within the area representing A. Therefore, the probability of the intersection cannot be greater than the probability of A.

5. **Conclusion**:
- Since \( P(A \cap B) \) is always less than or equal to \( P(A) \) and \( P(B) \), the statement given in the question is indeed true.

### Final Answer:
The statement is **True**.

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