Question: Suppose there are 3 defective items in a lot (collection) of 50 items. A sample of size 10 is taken at random and without replacement.

Suppose there are 3 defective items in a lot (collection) of 50 items. A sample of size 10 is taken at random and without replacement. Let X denote the number of defective items in the sample. Find the probability that the sample contains
(a) Exactly one defective item.
(b) At most one defective item.

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