The Barbershop and traveler Puzzle
A traveler arrives in a small town and decides he wants to get a haircut. There are only two barbershops in town – one on East Street and one on West Street. The East Street barbershop is a mess, and the barber has the worst haircut the traveler has ever seen. The West Street barbershop is neat and clean, its barber’s hair looks as good as a movie star’s.
Which barbershop does the traveler go to for his haircut, and why?
The traveler goes to have his hair cut at the barbershop on East Street.
He figures that since there are only two barbershops in town the East Street barber must have his hair cut by the West Street barber and vice versa.
So if the traveler wants to look as good as the West Street barber (the one with the good haircut), he’d better go to the man who cuts the West Street barber’s hair – the East Street barber.
Moreover, the reason the West Street barbershop is so clean and neat is that it seldom gets customers.
The traveler goes to the barbershop on East Street for his haircut. The reason being that the barber on East Street gave the only decent haircut in town since he did not cut his own hair. Since the traveler was not impressed with the barber’s own haircut, he figured that the East Street barber must have gone to the West Street barber to get his haircut, and that the West Street barber must have done a terrible job. Therefore, the traveler concluded that the East Street barber was the better choice.
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