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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 a club and the second card is a club if the sampling is done WITHOUT replacement?
?(b) What is the probability that the first card is a club and the second card is a club if the sampling is done WITH? replacement?
4.) A diamond can be classified as either gem-quality or industrial-grade. 81?% 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)Seven diamonds are chosen at random. What is the probability that all seven diamonds are industrial-grade ?(c) What is the probability that at least one of seven randomly selected diamonds is gem-quality? Would it be unusual that at least one of seven randomly selected diamonds is gem-quality?
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