Final answer:
Independent events A and B do not influence each other's likelihood of occurring. To establish independence, one can use formulas like P(A AND B) = P(A)P(B) or P(B|A) = P(B), where P represents probability.
Step-by-step explanation:
When dealing with independent events in probability, we can define them as two events A and B that do not affect the likelihood of each other occurring. To determine if events A and B are independent, you can use any of the following conditions:
If these conditions are true, then events A and B do not affect each other and are therefore independent events. Conversely, if they do not satisfy these conditions, they are known as dependent events.
For example, if the probability of rolling a four on a die (event A) and the probability of flipping heads on a coin (event B) are independent, then the probability of both happening simultaneously, P(A AND B), is simply the product of their separate probabilities: P(A) × P(B).