Two events A and B are independent. The probability of event A happening is 0.3 and the probability of event B happening is 0.5. What is the probability of both events A and B happening?

Step 1 ：The formula to find the probability of both independent events happening is given by \(P(A \cap B)=P(A) \times P(B)\)

Step 2 ：Substitute the values into the formula, we get \(P(A \cap B)=0.3 \times 0.5\)

Step 3 ：Calculate the multiplication to get the answer.