A delivery of 25 parts is subject to a quality control according to the following scheme: A

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A delivery of 25 parts is subject to a quality control according to the following scheme: A sample of size 5 is drawn (without replacement of drawn parts). If at least one part is faulty, then the delivery is rejected. If all 5 parts are o.k., then they are returned to the lot, and a sample of size 10 is randomly taken from the original 25 parts. The delivery is rejected if at least 1 part out of the 10 is faulty.

Determine the probabilities that a delivery is accepted on condition that

(1) the delivery contains 2 defective parts,

(2) the delivery contains 4 defective parts.

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