Final answer:
Two events A and B are independent if the knowledge that one occurred does not affect the chance the other occurs.
Step-by-step explanation:
Two events A and B are independent events if the knowledge that one occurred does not affect the chance the other occurs.
To determine whether two events are independent, you can calculate the probability of both events occurring together (P(A AND B)) and compare it to the product of the individual probabilities of each event occurring separately (P(A) x P(B)). If P(A AND B) = P(A) x P(B), then events A and B are independent.
If not, they are dependent. In the case of Carlos's toss and Jennifer's toss, if the outcome of Carlos's toss can influence Jennifer's toss, then the events are dependent. Therefore, the events are not independent.