Sue and Ann are taking the same English class but they do not study together, so whether one passes will be independent of whether the other passes.

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Sue and Ann are taking the same English class but they do not study together, so whether one passes will be independent of whether the other passes. in other words, “Sue passes" and “Ann passes" are assumed to be independent events. The probability that Sue passes English is 0.8 and theprobability that Ann passes English ls 0.75. (a) What is the probability both girls pass English?(b) what is the probability neither girl passes English?(c) If Ann passes, what then is the mndilional probability that Sue also passes? (6) Are the events "Ann passes” and "Sue passes” mutually exclusive events? _~I