Exactly. A perhaps pertinent point here is that Mao's revolution in China had less than 3% of the working class people behind it, by their own polling (Mentioned in Tony Cliff's works on marxists.org).
A revolution can be led by a minority, and almost always is, you don't need a majority you just need power, force of will, and either a distraction for the ruling forces, or enough people in the ruling forces to turn a blind eye (As with Castro -- who got the middle classes on-side first to support the revolution, and then took power while they were feuding among themselves)