Final answer:
No, events A and B are not independent.
Step-by-step explanation:
No, events A and B are not independent. To determine if two events are independent, we can use the formula P(A and B) = P(B|A) * P(A). In this case, P(A and B) = 0.8, P(A) = 0.4, and P(B) = 0.5. We can substitute these values into the formula to see if it holds true. If P(B|A) = P(B), then the events are independent. However, in this case, P(B|A) = P(A and B) / P(A) = 0.8 / 0.4 = 2, which is not equal to P(B). Therefore, events A and B are not independent.