## Hat puzzle

Posted on: March 20th, 2014 by
2

There are 3 people each wearing either a white or a black hat. They can see everyone's hat except their own. They must design a strategy so that they can maximize the chances of success of at least one person guessing the hat color correctly and no one guessing wrong. They cannot talk to each other after the hats have been placed on their heads. What is the best strategy?

- via Daily Brain Teaser

#### 2 Responses to Hat puzzle

1. Sid Hollander had this to say about that:

Pascal's Triangle!
(b + w)^3 = 1,3,3,1
Since 6 out of 8 times there will be a 2:1 distribution of one color over the other if Anyone sees 2 of one color that person is to respond with the other color otherwise do not guess. The chance of someone getting the correct answer is 3/4 = 75%.
The chances could be extended to 100% if they agree that should nobody responds within a predetermined time..say 2 minutes that All three have the same color and therefore the chances rise to 100%.

• Sid Hollander had this to say about that:

Mental Attack...Forget the 100% section. resort to 75%My old age got the best of my old Brain. I

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