The correct answer is:

C. Each trial is independent of the other trials if the outcome of one trial does not affect the outcome of any of the other trials.

In a binomial experiment, independence means that the result of one trial has no influence on the result of another trial. This is a key characteristic of binomial experiments, where the probability of success or failure on any given trial remains constant, and each trial is unaffected by previous ones.

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Related Questions:

1. What are the key characteristics of a binomial experiment?
2. How does the independence of trials affect the probability calculations in a binomial experiment?
3. What is the difference between independent and dependent trials in probability?
4. How do you calculate the probability of success in a binomial experiment?
5. What does "failure" mean in a binomial experiment?

Tip:

In a binomial experiment, remember that the trials should be repeated a fixed number of times, each with two possible outcomes (success or failure), and the probability of success is the same for each trial.