In an entrance test that is graded on the basis of two examinations, the probability of a randomly chosen student passing the first examination is 0.8 and the probability of passing the second examination is 0.7. The probability of passing at least one of them is 0.95. What is the probability of passing both?

Explanation

To solve the problem, we need to find the probability of passing both examinations given the probabilities of passing each examination individually and the probability of passing at least one of them.

### Step-by-step Solution:

1. **Define the Events**:
- Let \( A \) be the event of passing the first examination.
- Let \( B \) be the event of passing the second examination.

...