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A diamond can be classified as either gem-quality or industrial-grade 90% of diamonds are classified as industrial-grade. (a) Two diamonds are chosen at random. What

A diamond can be classified as either gem-quality or industrial-grade 90% 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? rn

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