In a box of 20 new iPhones, K of them are defective. The value of K...

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In a box of 20 new iPhones, K of them are defective. The value of K is unknown but it is known to be in the range f0; 1; 2g, with all three values of K being equally likely. Before shipping the box out of the factory, 4 distinct iPhones are chosen at random from the box and tested. If an iPhone passes the test, then it is not defective. What is the probability that K = 0, given that all 4 iPhones tested passed the test? (Provide a formula consisting of all numerical values; it does not have to be simplified).

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