A diamond can be classified as either gem-quality or industrial-grade. Suppose that 83% of diamonds are classified as industrial-grade.
(a) Two diamonds are chosen at random. What is the probability that both diamonds are industrial-grade?
(b) Eight diamonds are chosen at random. What is the probability that all eight diamonds are industrial-grade?
(c) What is the probability that at least one of eight randomly selected diamonds is gem-quality?
Would it be unusual that at least one of eight randomly selected diamonds is gem-quality?
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