To find the probability of two independent events A and B occurring at the same time, you multiply their individual probabilities:
\[ P(A \text{ and } B) = P(A) \times P(B) \]
Given:
- \( P(A) = 0.3 \)
- \( P(B) = 0.25 \)
Now, calculate:
\[ P(A \text{ and } B) = 0.3 \times 0.25 = 0.075 \]
So, the probability of both events A and B happening at the same time is \( \boxed{0.075} \).