Binomial probability of at least a given number of successes and a conditional binomial probability

Apples are packed into bags of \(15\). Each apple, independently of the others, is free of blemishes with probability \(0.885\).

1. Find the probability that a randomly chosen bag contains at least \(12\) blemish-free apples.
2. A bag is known to contain at least \(12\) apples that are free of blemishes. Find the probability that it contains more than one blemished apple.

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Answer:(b)(i) \(0.915\) (b)(ii) \(0.484\)

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