Riddle me this

[binions]

3 men go into a pitch black room. In that room, there are 3 white beanies, and 2 black beanies. The 3 men know this.

They each pick up a beanie in the dark, and put it on their head. They walk outside. They can't see what color beanie they have on, only what's on the other guys' heads.

The first guy says, "Based on what I see, I don't know what color beanie I have on."

The second guy says, "Based on what you said and what I see, I don't know what color beanie I have on."

The third guy is BLIND. He says "Based on what you have said, I know what color beanie I have on."

What color beanie does the blind man have on, and how does he know?