In the following experiment, determine whether or not the probabilities are binomial probabilities. If they are, identify the values for n, p, and q.A die is rolled 30 times. What is the probability of getting x even numbers?

This is a binomial setting because there are 30 fixed, independent rolls, and each roll has two outcomes for the count: even or not even. The probability of an even number on one roll is 3/6 = 0.5, so p = 0.5 and q = 1 − p = 0.5. Thus, the correct choice is “Binomial probability; n = 30, p = 0.5, q = 0.5.”

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