Quote from: kylie.v on December 27, 2015, 02:44:30 AM

A) if my life depended on this , i would cut the green and red balls in half and paste each half with the other half the other color. That way whichever ball is picked i would just flip the ball over to the color green

not sure if that was prohibited .

Nah, I will figure you are cheating.
Better would be to Paint all the balls green or bury the red ones. Grin

II
Answers to the second question.

1.

Quote from: Jeremycoin on December 26, 2015, 09:32:36 AM

He says the color of his crown.
How he figure it out? Simple, because of each man could see the others crown and there's just 3 of them with just 1 gold crown.
Which makes these possiblity :

If he saw 2 silver crowns, then his crown is Gold
If he saw 1 silver & 1 gold crown, then his crown is silver

Incorrect.

2.

Quote from: LoyceV on December 26, 2015, 09:33:31 AM

If someone would see two silver crowns, he would know he wears gold. This didn't happen, as they sat for a very long time, which means there are at least two golden crowns.
This means that ~~one~~ two persons see one silver and one gold crown, which means they still don't know a thing. That leaves the one person who sees gold only, he knows he is wearing silver. Hence he anounces: Iwear silver on my head and becomes minister.

Username: Loyce

The first part is correct.
For if there have been just one gold crown and two silver ones, the one with the gold crown will immediate figure out that and would win it, but as it says in the question, it takes a very long time for the winner to get the answer, so the possibility is crossed out.

The second part is not correct because the king says the game will be fair to all three. If only the one who wears the silver can figure the color of the crown on his head, it would not be fair.

3.

Quote from: forfuna on December 26, 2015, 09:49:34 AM

let's pretend that A is the wisest man .
because no one get picked so there won't be two of the golden crown
A think that there's only one guy wearing the golden crown , and that's himself because they are all wise man , and if they saw the golden crown more than one , they won't sat their for the long time to realize they're not the one got picked Grin

They need to see both the silver crown to make sure that they are getting picked
So there's gonna be only one crown
A will stand up and said : i'm wearing the golden crown Grin

No, because A could not immediately get the color of his crown. (explanation above)

4.

Quote from: CASlO on December 26, 2015, 10:13:58 AM

the dude probably saw that the other two we're also wearing silver crowns...so he realized that all of them were probably wearing silver crowns..so he stood up and said: "Good game my emperor! GG...no one has the golden crown..only you, now can i be the minister?"

LOL... Cheesy

That is a pretty good solution lol.
But the emperor was wearing a huge crown made entirely of precious stones. Absolutely no gold used. Grin

Quote from: kylie.v on December 27, 2015, 02:44:30 AM

B) the clever man who stood up would know what his crown was made of by looking at his reflection off the other men's crown. He also knew if his crown was gold or silver by determining if it felt heavy enough to be gold because gold is heavier than silver.

No reflections lol. This is a logic kind of question, but anyway a good answer.

Plus looking at reflections wouldn't tell the emperor who is wiser. May be both the crowns had the same weight, or was very small that it felt the same. The old men cannot compare since he cannot access the other.

6.

Quote from: fumblingperch on December 27, 2015, 02:58:21 AM

Q. An emperor wants to find the cleverest of all men in his country to appoint him as his minister. There were three who made it to the last. The emperor places a crown on each of their heads, such that each man could see all of the other crowns, but none their own. Each crown was either gold or silver. The emperor gave his word to the wise men that at least one of them was wearing a gold crown; and that the contest would be fair to all three men. They were also not allowed to speak to each other. The emperor declared that whoever stood up and correctly announced the color of his own crown first would become his new minister. The men sat for a very long time before one stood up and correctly announced the answer. What did he say, and how did he figure it out?

hmm, i think i understand your idea ndnch... but i think there is a mistake in your question

The key words are

The emperor gave his word to the wise men that at least one of them was wearing a gold crown
and
and that the contest would be fair to all three men

the possible options, because it say it`ll be fair to all three men, so,
1. 2 guys using silver crown isnt fair, because the third man will know he`s using gold crown (unfair)
2. 1 guy using silver crown and 2 gold crown (possible)
3. 3 guys using gold crown - (possible)
4. 3 guys using silver - (impossible)

now we look at option 2 and 3... because other options not possible or unfair
if a guy see 2 gold crown, he can`t know if he`s using Gold(3) or Silver(2)

if a guy see 1 silver and 1 gold, he can know for sure that he`s using a gold crown (2), because option 1 and 4 not possible or unfair
so, the answer is he said is Gold Crown.

This is the only possible answer, the problem is.. you said it must be fair the all three guys

in option 2, the guys that can see 1 silver and 1 gold, can know the answer
so, two of the guys can answer it, but the third one (using silver crown, can`t never know)
so it`s only fair to 2 guys.
So... i think your question is wrong

My answer is> the question have a mistake, because the game was not fair to the 3 guys

Incorrect, but You have got 2/3 of the explanation correct.

Winners of the first question paid.