Explain why for a fixed n, the events B k,n in Section 1.2.1 are disjoint, and why

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Explain why for a fixed n, the events Bk,n in Section 1.2.1 are disjoint, and why the total sum of all probabilities P(Bk,n) must be one. Give a heuristic explanation and show it rigorously using the binomial formula (1.3.4.7).P([0])= pkqn-k (1.2.1)

P(no successes in n trials) = q". (1.2.3)

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