In two independent events the probability of happening one event is `2/7` and probability of happening of second event is `1/5`. Find the probability of happening of both events.

Explanation

To find the probability of both independent events occurring, we can follow these steps:

### Step-by-Step Solution:

1. **Identify the Probabilities of Each Event:**
- Let event A be the first event with a probability \( P(A) = \frac{2}{7} \).
- Let event B be the second event with a probability \( P(B) = \frac{1}{5} \).

2. **Understand the Concept of Independent Events:**
- Since the events are independent, the occurrence of one event does not affect the occurrence of the other event.

3. **Use the Formula for Independent Events:**
- The probability of both events A and B occurring (denoted as \( P(A \cap B) \)) is given by the product of their individual probabilities:
\[ P(A \cap B) = P(A) \times P(B) \]

4. **Substitute the Values:**
- Substitute the values of \( P(A) \) and \( P(B) \) into the formula:
\[ P(A \cap B) = \frac{2}{7} \times \frac{1}{5} \]

5. **Calculate the Product:**
- Multiply the fractions:
\[ P(A \cap B) = \frac{2 \times 1}{7 \times 5} = \frac{2}{35} \]

6. **Conclusion:**
- The probability of both events occurring is \( \frac{2}{35} \).

### Final Answer:
The probability of happening of both events is \( \frac{2}{35} \).

---