Which of the following are criteria for a binomial probability experiment? Select all that apply. \( \square \) A. There are two mutually exclusive outcomes, success or failure. \( \square \) B. The experiment is performed a fixed number of times. \( \square \) C. The probability of success is the same for each trial of the experiment. \( \square \) D. The probability of success is different for each trial of the experiment. \( \square \) E. There are three mutually exclusive outcomes, arriving on-time, arriving early, and arriving late. \( \square \) F. The experiment is performed until a desired number of successes is reached. \( \square \) G. Each trial depends on the previous trial. \( \square \) H. The trials are independent.
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When it comes to binomial probability experiments, there’s a fun little checklist to keep in mind! Just remember: you need exactly two exclusive outcomes: success or failure (that’s option A). Also, the good ol' law of numbers comes into play—there has to be a fixed number of trials (hello, option B!). And let's not forget: each trial must have the same probability of success (option C) and the trials should be independent, meaning the outcome of one doesn’t affect the others (option H). Now, if you dive just a bit deeper into the world of probability, you’ll encounter delightful applications! Think of a game show where contestants answer questions—every time they get one wrong, it’s like flipping a coin (success or failure) on whether they move on. From predicting weather forecasts to analyzing marketing strategies, binomial experiments are all around us, making numbers and chances as exciting as a rollercoaster ride!