Three prisoners - Revision history

Oscarlevin at 14:03, 20 August 2010

2010-08-20T14:03:50Z

← Older revision		Revision as of 08:03, 20 August 2010
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	Three prisoners are waiting in a single cell. The jailer comes in, and shows the prisoners 5 hats: two red and three black. He then turns out the lights, ~~and~~ puts a hat on each prisoner and puts the other two hats in an opaque box. The jailer tells the prisoners that if they can correctly guess the color of their own hat (which they ~~cannot~~ see), they will be set free. If they guess wrong, they are executed.		Three prisoners are waiting in a single cell. The jailer comes in, and shows the prisoners 5 hats: two red and three black. He then turns out the lights, puts a hat on each prisoner and puts the other two hats in an opaque box. The jailer tells the prisoners that if they can correctly guess the color of their own hat (which they will not be able to see), they will be set free. If they guess wrong, they are executed.

	When the lights go on, the jailer asks the ﬁrst prisoner what color hat he has. The ﬁrst prisoner says he ~~can not~~ tell. The jailer asks the second prisoner what color hat he is wearing. The second prisoner says he cannot tell.		When the lights go on, the jailer asks the ﬁrst prisoner what color hat he has. The ﬁrst prisoner says he cannot tell. The jailer asks the second prisoner what color hat he is wearing. The second prisoner says he cannot tell.

	Then the jailer turns to the third prisoner. The third prisoner is blind, so the jailer is completely surprised when the third prisoner says, ”My hat is colored ...” What color hat was the third prisoner wearing?		Then the jailer turns to the third prisoner. The third prisoner is blind, so the jailer is completely surprised when the third prisoner says, ”My hat is colored ...” What color hat was the third prisoner wearing and how did he know?

	[[Category:Logic puzzles]]		[[Category:Logic puzzles]]
	[[Category:Cases]]		[[Category:Cases]]

Oscarlevin at 19:22, 28 May 2010

2010-05-28T19:22:28Z

← Older revision		Revision as of 13:22, 28 May 2010
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	Then the jailer turns to the third prisoner. The third prisoner is blind, so the jailer is completely surprised when the third prisoner says, ”My hat is colored ...” What color hat was the third prisoner wearing?		Then the jailer turns to the third prisoner. The third prisoner is blind, so the jailer is completely surprised when the third prisoner says, ”My hat is colored ...” What color hat was the third prisoner wearing?

	[[Category:Logic]]		[[Category:Logic puzzles]]
	[[Category:Cases]]		[[Category:Cases]]

Oscarlevin: moved Five hats to Three prisoners: I think this is a more common name for the puzzle.

2010-05-18T17:05:15Z

moved Five hats to Three prisoners: I think this is a more common name for the puzzle.

← Older revision	Revision as of 11:05, 18 May 2010
(No difference)

Oscarlevin: Created page with 'Three prisoners are waiting in a single cell. The jailer comes in, and shows the prisoners 5 hats: two red and three black. He then turns out the lights, and puts a hat on each p…'

2010-05-18T17:02:43Z

Created page with 'Three prisoners are waiting in a single cell. The jailer comes in, and shows the prisoners 5 hats: two red and three black. He then turns out the lights, and puts a hat on each p…'

New page

Three prisoners are waiting in a single cell. The jailer comes in, and shows the prisoners 5 hats: two red and three black. He then turns out the lights, and puts a hat on each prisoner and puts the other two hats in an opaque box. The jailer tells the prisoners that if they can correctly guess the color of their own hat (which they cannot see), they will be set free. If they guess wrong, they are executed.

When the lights go on, the jailer asks the ﬁrst prisoner what color hat he has. The ﬁrst prisoner says he can not tell. The jailer asks the second prisoner what color hat he is wearing. The second prisoner says he cannot tell.

Then the jailer turns to the third prisoner. The third prisoner is blind, so the jailer is completely surprised when the third prisoner says, ”My hat is colored ...” What color hat was the third prisoner wearing?

[[Category:Logic]]
[[Category:Cases]]