Which of the following statements is false? O Two independent events cannot occur at the same time. OTwo disjoint events cannot occur at the same time. OTwo complementary events cannot occur at the same time.

1. Two independent events are defined such that the occurrence of one does not affect the probability of the occurrence of the other. This does not mean that they cannot occur simultaneously. For example, in tossing a coin twice, getting heads on the first toss and heads on the second toss are independent events, and they can occur at the same time in a single experiment. 2. Two disjoint (mutually exclusive) events have no outcomes in common. By definition, they cannot occur at the same time since their intersection is empty. 3. Two complementary events are a specific case of disjoint events where the events cover the entire sample space. They also cannot occur simultaneously. Thus, the false statement is: \( \text{"Two independent events cannot occur at the same time."} \)