Another intuitive, no-math (and I believe best) strategy could be as follows: >! The prisoner that gets steak the first night should always vote 2 (Don't know). >! The other two prisoners that get fish tacos the first night should vote >! 2 until they get steak for the first time, then vote 1 (Steaks) every night from >! then on. This ensures that * The majority won't vote 1 (Steaks) when they would be wrong. * The majority will vote 1 the first night they all had steak.