Three people (including you) are sitting in a room with 5 hats: 3 white and 2 black. They are super intelligent beings who deduce any logical reasoning.

Now a hat chosen at random is placed on each of their heads, such that you can see the color of others hats but not your own. You can't talk to each other or communicate in any way, but you see that the others can't deduce the color of their hats or are unwilling to guess.

Can you show them that you are better than them by deducing the color of you hat?

Don't guess; you may use any mathematical probability, statistic, or induction to solve the problem. Be sure to share your reasoning in the solutions.

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