A diamond can be classified as either gem-quality or industrial-grade. Suppose that 98% 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) Five diamonds are chosen at random. What is the probability that all five diamonds are industrial-grade? (c) What is the probability that at least one of five randomly selected diamonds is gem-quality? Would it be unusual that at least one of five randomly selected diamonds is gem-quality? . . . . . (a) Two diamonds are chosen at random. What is the probability that both diamonds are industrial-grade? The probability is. (Round to four decimal places as needed.) (b) Five diamonds are chosen at random. What is the probability that all five diamonds are industrial-grade? The probability is. (Round to four decimal places as needed.) (c) What is the probability that at least one of five randomly selected diamonds is gem-quality? The probability is. (Round to four decimal places as needed.) Would it be unusual that at least one of five randomly selected diamonds is gem-quality? It would that at least one of five randomly selected diamonds is gem-quality