Belonging to at least one of three clubs

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

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