Puzzle of the day answer #2

The blind guy knows because if the first guy says "I don't know what hat I'm wearing" it must mean that the second person and himself can't both be black.Which means there are 3 possibilities, #1. person number 2 and himself are both white.#2 and #3. One of them is white and the other one is black or the other way around. Which leaves him confused and he doesn't know what hat he is wearing.Guy number 2 knows that one of them is wearing white and the other person is wearing black or the other way around or there both wearing white but when he looks at the other 2 he says"I don't know what hat I'm wearing". So based on what the other 2 said the blind person or person number 3 knows that he's wearing white because there more chances of being white than black.