Which statement correctly describes a binomial distribution?

Which statement correctly describes a binomial distribution?

• A. Fixed number of trials (n)
• B. Continuous outcomes per trial
• C. Probability of success changes across trials
• D. Trials are dependent

Answer: (A)

The binomial distribution counts how many successes occur when you perform a fixed number of independent trials, and each trial has the same chance of success. Having a fixed number of trials is essential because you’re counting successes within a known, finite number of attempts, not a limitless process. Each trial yields a discrete outcome (success or failure), the probability of success stays the same from trial to trial, and the trials are independent. These conditions together produce the binomial pattern. If you think of flipping a coin ten times and counting how many heads appear, that’s a classic binomial situation with n = 10 and p = 0.5. The other statements don’t fit: outcomes per trial aren’t continuous (they’re binary), the probability of success doesn’t change across trials, and the trials aren’t dependent.

The binomial distribution counts how many successes occur when you perform a fixed number of independent trials, and each trial has the same chance of success. Having a fixed number of trials is essential because you’re counting successes within a known, finite number of attempts, not a limitless process. Each trial yields a discrete outcome (success or failure), the probability of success stays the same from trial to trial, and the trials are independent. These conditions together produce the binomial pattern.

If you think of flipping a coin ten times and counting how many heads appear, that’s a classic binomial situation with n = 10 and p = 0.5. The other statements don’t fit: outcomes per trial aren’t continuous (they’re binary), the probability of success doesn’t change across trials, and the trials aren’t dependent.