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Suppose 55% of students are female, of which 4/5 (44%) have long hair, and 45% are male, of which…

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 Suppose 55% of students are female, of which 4/5 (44%) have long hair, and 45% are male, of which 1/3 (15% of all students) have long hair. What is the probability that a student chosen at random will either be female or have long hair (or both)?