Exam-Style Problem

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Nov 2021 p52 q1
2584

Each of the 180 students at a college plays exactly one of the piano, the guitar, and the drums. The numbers of male and female students who play the piano, the guitar, and the drums are given in the following table.

PianoGuitarDrums
Male254411
Female423820

A student at the college is chosen at random.

Find the probability that the student is male given that the student plays the drums.

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