Eight options with six sides - Revision history

Oscarlevin at 20:30, 30 June 2013

2013-06-30T20:30:34Z

← Older revision		Revision as of 14:30, 30 June 2013
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	This one is based on a problem of the week ~~I saw [http://hilltop.bradley.edu/~delgado/potw/potw.html here]~~.		This one is based on a problem of the week somewhere.

	==Puzzle==		==Puzzle==
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	{{Needs answer}}		{{Needs answer}}

	~~==References==~~

	~~{{Bradley PoW}}~~

	[[Category:Probability]]		[[Category:Probability]]
	[[Category:Optimization puzzles]]		[[Category:Optimization puzzles]]
			[[Category:Lateral thinking]]
	~~__NOTOC__~~

Oscarlevin at 13:39, 29 December 2010

2010-12-29T13:39:22Z

← Older revision		Revision as of 07:39, 29 December 2010
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	==Puzzle==		==Puzzle==

	The problem with great restaurants is that they often have so many delicious menu items that making a decision can be near impossible. For this reason, Kirk always brings his trusty 6-sided die with him when he goes out to dinner. But one fateful night, Kirk found no fewer than eight dishes he wanted to try. How could he use his die to fairly decide between his eight options? What is the least number of die rolls he would have to make?		The problem with great restaurants is that they often have so many delicious menu items that making a decision can be near impossible. For this reason, Kirk always brings his trusty 6-sided die with him when he goes out to dinner. But one fateful night, Kirk found no fewer than eight dishes he wanted to try. How could he use his die to fairly decide between his eight options? What is the least number of die rolls he would have to make in order to guarantee he can fairly pick on of the eight dishes?

	==Extra credit==		==Extra credit==

Oscarlevin at 19:22, 18 November 2010

2010-11-18T19:22:16Z

← Older revision		Revision as of 13:22, 18 November 2010
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	[[Category:Probability]]		[[Category:Probability]]
	[[Category:Optimization puzzles]]		[[Category:Optimization puzzles]]

			__NOTOC__

Vampire Library at 01:53, 7 November 2010

2010-11-07T01:53:55Z

← Older revision		Revision as of 19:53, 6 November 2010
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	==Puzzle==		==Puzzle==

	The problem with great restaurants is they often have so many delicious menu items that making a decision can be near impossible. For this reason, Kirk always brings his trusty 6-sided die with him when he goes out to dinner. But one fateful night, Kirk found no fewer than eight dishes he wanted to try. How could he use his die to fairly decide between his eight options? What is the least number of die rolls he would have to make?		The problem with great restaurants is that they often have so many delicious menu items that making a decision can be near impossible. For this reason, Kirk always brings his trusty 6-sided die with him when he goes out to dinner. But one fateful night, Kirk found no fewer than eight dishes he wanted to try. How could he use his die to fairly decide between his eight options? What is the least number of die rolls he would have to make?

	==Extra credit==		==Extra credit==

Oscarlevin: Created page with 'This one is based on a problem of the week I saw [http://hilltop.bradley.edu/~delgado/potw/potw.html here]. ==Puzzle== The problem with great restaurants is they often have so ...'

2010-08-21T14:01:58Z

Created page with 'This one is based on a problem of the week I saw [http://hilltop.bradley.edu/~delgado/potw/potw.html here]. ==Puzzle== The problem with great restaurants is they often have so ...'

New page

This one is based on a problem of the week I saw [http://hilltop.bradley.edu/~delgado/potw/potw.html here].

==Puzzle==

The problem with great restaurants is they often have so many delicious menu items that making a decision can be near impossible. For this reason, Kirk always brings his trusty 6-sided die with him when he goes out to dinner. But one fateful night, Kirk found no fewer than eight dishes he wanted to try. How could he use his die to fairly decide between his eight options? What is the least number of die rolls he would have to make?

==Extra credit==

What if he had nine options? What about other numbers of options? That is, for which number of options is there a way for Kirk to fairly decide between those options using only his 6-sided die. If $n$ is a possible number of options, what is the least number of rolls needed to decide?

==Help==

{{Needs answer}}

==References==

{{Bradley PoW}}

[[Category:Probability]]
[[Category:Optimization puzzles]]