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Statistics and Probability.

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From a lot of 12 flares, 4 are selected at random. If the lot contains 4 defective flares (flares that will not fire), what is the probability that all 4 will not work?
What is the probability that at most 2 will not work?
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Let X equal the number of defective flares.

For the first part, use the hypergeometric distribution formula:



with r = 4, n = 12, m = 4 and k = 4.

For part 2, you use the hypergeometric formula again, but this time you add P(X=0)+P(X=1)+P(X=2).
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