A random sample of 10 fibers is taken from a collection of 92 fibers that consists of 43 fibers of polymer A, 17 fibers of polymer B, and 32 fibers of polymer C.
(a) What is the probability that the sample does not contain any fibers of polymer B?
(b) What is the probability that the sample contains exactly one fiber of polymer B?
(c) What is the probability that the sample contains three fibers of polymer A. three fibers of polymer B. and four fibers of polymer C?