Qm
Probability

Belonging to at least one of three clubs

inclusion-exclusionthree-eventssurvey

On a campus, 60%60\% of students belong to the drama club, 50%50\% to the debate club, and 40%40\% to the music club. For overlaps, 30%30\% belong to drama and debate, 25%25\% to drama and music, 20%20\% to debate and music, and 10%10\% to all three.

What is the probability that a randomly chosen student belongs to at least one club?

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