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Prisoners and hats

100 prisoners are standing in a line each 1 seeing the back of the ones in front of him. Each prisoner is given a black or a white hat. If they can guess the color of their hat they can go away freely, but if they say anything else than black or white or do anything else then everyone stays in prison. From the last one to the first each prisoner is asked 1 by 1 their hat color. The question is what tactic should they use so that the most people get out with certainty and whats the maximum number of people that can get out of prison(this number can be checked).
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monkeychild 10 months ago contains spoiler (show)
letusdisscusits 10 months ago

I do not understand the explanation at all

c3623632 10 months ago

Addendum to my previous comment, I noticed you have “with certainty” in the explanation. I’ll rescind my comment, although I disagree with where you’ve placed it. And I don’t think I’m being picky… you really need to be careful with puzzle wording.

c3623632 10 months ago contains spoiler (show)
shashank about 1 year ago

foolish question.

helium about 1 year ago contains spoiler (show)
gravity about 1 year ago

This one is stupid.

anurag about 1 year ago

@alee, the last person in the line who sees only one black hat and thus answers black, is the one who can’t be saved with certainty. however, using that information all 99 prisoners ahead will be saved.

ivolvo about 1 year ago

Believe it or not, a similar strategy would work if instead of black and white they have any number of colored hats, the only thing the prisoners need to know upfront how many colors are available. Guess how.

alee2586 about 1 year ago contains spoiler (show)
stuckie27 about 1 year ago contains spoiler (show)