1.) Find the probability P(E^c) if P(E)=0.45
2.)Find the probability P(E or F) if E and F are mutually exclusive, P(E)=0.34, and P(F)=0.45.
3.)Suppose that two cards are randomly selected from a standard? 52-card deck.
?(a) What is the probability that the first card is aclub and the second card is aclub if the sampling is done WITHOUT replacement?
?(b) What is the probability that the first card is a club and the second card is aclub if the sampling is done WITH? replacement?
4.)Adiamond can be classified as eithergem-quality orindustrial-grade.81?% of diamonds are classified asindustrial-grade?(a) Two diamondsare chosen at random. What is the probability that both diamonds are industrial-grade???(b)Sevendiamonds are chosen at random. What is the probability that allsevendiamonds areindustrial-grade?(c) What is the probability that at least one ofseven randomly selected diamonds isgem-quality? Would it be unusual that at least one ofsevenrandomly selected diamonds
isgem-quality?
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