Question: If the binomial (q p) is squared, the result is (q p)2 q2 2qp p2. For the binomial experiment with

If the binomial (q p) is squared, the result is

(q p)2 q2 2qp p2. For the binomial experiment with n 2, the probability of no successes in two trials is q2 (the first term in the expansion), the probability of one success in two trials is 2qp (the second term in the expansion), and the probability of two successes in two trials is p2 (the third term in the expansion). Find (q p)3 and compare its terms to the binomial probabilities for n 3 trials.

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