Miles's favorite Starburst is the pink flavor. Miles purchased a bag of 300 Starbursts and assumed that the colors are evenly distributed amongst the 4 original flavors: orange, pink, yellow, and red. Miles ate 5 Starbursts at a time and recorded how many in each group of 5 were pink. This is a binomial experiment with \( n=5, p=0.25 \) This is a binomial experiment with \( n=60, p=0.25 \) This is not a binomial experiment because the probability changes as Miles eats the Starbursts This is not a binomial experiment because there are four outcomes: orange, pink, yellow, and red

Miles's experiment can indeed be classified as a binomial experiment! In this case, he is conducting trials where each trial consists of eating 5 Starbursts, and each Starburst has a fixed probability of being pink (25%) assuming the distribution remains even across all flavors. Since he repeats this process multiple times, it fits the criteria of a binomial experiment—a set number of successes (pink Starbursts) out of a fixed number of trials (groups of 5) with a constant probability. It's important to note that while there are four flavors, each draw is still viewed as a "success" (getting a pink Starburst) or "failure" (getting any other color). As long as he's sampling from a large enough bag where the relative proportions of flavors don't change, he can treat it as a simple binomial distribution!