There are 10 multiple-choice questions on a math quiz. Each question has four answer choices with one correct answer. Let X represent the number of questions answered correctly for a student who is randomly guessing each answer choice.Have the conditions for a binomial setting been met for this scenario?

A binomial setting has a fixed number of trials, two outcomes per trial, independent trials, and the same probability of success each time. Here there are 10 questions, each answer is either correct or incorrect, and random guessing gives a 1/4 chance of a correct answer on every question. The guesses are independent, so all four BINS conditions are met; the correct choice is “Yes, all four conditions in BINS have been met.”

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