To determine whether the statement "You toss a coin and follow how many tails you get. This is a binomial distribution." is true or false, let's break down the key elements of a binomial distribution:
1. Fixed Number of Trials: There must be a fixed number of trials. In this case, each coin toss represents a single trial, and you would have a fixed number of coin tosses.
2. Two Possible Outcomes: Each trial must have exactly two possible outcomes. For a coin toss, the outcomes are either "tails" or "not tails" (which would be "heads").
3. Independent Trials: The trials must be independent of each other. The outcome of one coin toss does not affect the outcome of another coin toss, satisfying this condition.
4. Constant Probability of Success: The probability of getting "tails" (or "heads") must be the same on every trial. For a fair coin, the probability of getting tails remains constant at 0.5 (50%).
Since a coin toss satisfies all the criteria for a binomial distribution — a fixed number of independent trials, with two possible outcomes and a constant probability of success — we can conclude that the statement is true.
Therefore, the correct answer is:
True
