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Compute stockout sufficiency probability

SIG (Susquehanna)Data Scientist · Online Assessment

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This question evaluates understanding of discrete probability and binomial models for independent Bernoulli trials, testing the ability to compute the probability that a limited resource meets random demand.

In a bakery, each customer buys one item: a croissant with probability 70% and a muffin with probability 30%, independently. There are 2 muffins left and 5 customers remain in line. What is the probability that the two muffins suffice (i.e., no customer wants a muffin after muffins are depleted)?