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<blockquote data-quote="Hypersmurf" data-source="post: 1725638" data-attributes="member: 1656">Heh.&nbsp; The hints help.[spoiler]Morris the Monk has a dot.If there is only one dot, then Morris can see no dots.&nbsp; He deduces that there must be at least one dot, or the exercise is pointless... therefore it must be on him.&nbsp; When the bell rings, he raises his hand.If there are two dots, then Morris can see one dot, on Murray the Monk.&nbsp; He knows there is either one dot or two dots, but he doesn't know which.&nbsp; When the bell rings once, he sees that Murray does not raise his hand.&nbsp; Therefore Murray must be seeing the same thing - one dot, and doesn't know if there are one or two.&nbsp; Obviously, then, the dot Murray sees must be on Morris.&nbsp; So when the bell rings the second time, Murray and Morris both raise their hands.If there are three dots, Morris can see two, on Murray the Monk and Michael the Monk.&nbsp; On the first bell, nobody raises their hand.&nbsp; On the second bell, nobody raises their hand.&nbsp; Morris knows that if there were only two dots, Murray and Michael would have figured this out on the second bell... therefore they must both also be seeing two dots, one of which is on his own head.&nbsp; On the third bell, therefore, Murray, Morris, and Michael all raise their hands.Etc.[/spoiler]-Hyp.</blockquote>

[QUOTE="Hypersmurf, post: 1725638, member: 1656"] Heh. The hints help. [spoiler]Morris the Monk has a dot. If there is only one dot, then Morris can see no dots. He deduces that there must be at least one dot, or the exercise is pointless... therefore it must be on him. When the bell rings, he raises his hand. If there are two dots, then Morris can see one dot, on Murray the Monk. He knows there is either one dot or two dots, but he doesn't know which. When the bell rings once, he sees that Murray does not raise his hand. Therefore Murray must be seeing the same thing - one dot, and doesn't know if there are one or two. Obviously, then, the dot Murray sees must be on Morris. So when the bell rings the second time, Murray and Morris both raise their hands. If there are three dots, Morris can see two, on Murray the Monk and Michael the Monk. On the first bell, nobody raises their hand. On the second bell, nobody raises their hand. Morris knows that if there were only two dots, Murray and Michael would have figured this out on the second bell... therefore they must both also be seeing two dots, one of which is on his own head. On the third bell, therefore, Murray, Morris, and Michael all raise their hands. Etc.[/spoiler] -Hyp. [/QUOTE]

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