Posted by: goepl May 19, 2014
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Rethink,
It seems you have similar kind of confusion I had.
To clarify:
Tarke has to reply first so he relies on what Dharke and Farke are wearing. So, he can correctly answer if and only if he sees both Darke and Farke wearing Dhaka topi. Tarke passes because he does not see both Dharke and Farke wearing Dhaka topies.
Dharke replies second, that means he can see what Tarke and Farke wearing and also can consider the response from Tarke. If Dharke sees Dhaka topi on Farke's head, Dharke could be sure that he is wearing Bhadgaule topi (otherwise Tarke would have answered correctly). But, Dharke passes because he does not see Dhaka topi on Farke's head. Also he does not see both Dharke and Farke wearing Dhaka topi.
Farke is lucky because he got chance to answer after Tarke and Dharke. The only condition in which both Tarke and Dharke would pass is if Farke is wearing Bhadgaule topi.
It seems you have similar kind of confusion I had.
To clarify:
Tarke has to reply first so he relies on what Dharke and Farke are wearing. So, he can correctly answer if and only if he sees both Darke and Farke wearing Dhaka topi. Tarke passes because he does not see both Dharke and Farke wearing Dhaka topies.
Dharke replies second, that means he can see what Tarke and Farke wearing and also can consider the response from Tarke. If Dharke sees Dhaka topi on Farke's head, Dharke could be sure that he is wearing Bhadgaule topi (otherwise Tarke would have answered correctly). But, Dharke passes because he does not see Dhaka topi on Farke's head. Also he does not see both Dharke and Farke wearing Dhaka topi.
Farke is lucky because he got chance to answer after Tarke and Dharke. The only condition in which both Tarke and Dharke would pass is if Farke is wearing Bhadgaule topi.