A teacher shows three very bright students 3 red hats and 2 white hats.
The students are then blindfolded and the teacher puts one hat on each of the student and remaining hats in a closed bag.
The task for the students is to identify the colour of the hat on their head by seeing the hats of other two students.
The first student removes his blindfold and is able only to see the other two students' hat. He says he cannot say for certain the colour of his own hat.
After hearing the first student, the second student removes his blindfold and sees the other students' hats, and he too says that he cannot say for certain the colour of his own hat.
After hearing the first two students and thinking for a while, without removing his blindfold the last student says he knows the colour of his hat.
While the first two students are unable to say the colour of their own hat, how the third student is able to say for certain the colour of his own hat blindfolded.
What is the colour of his hat and Why he is able to say for sure?
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1 comment:
the colour of hat is red.
justification:
1. A first person can only say his colour of hat if the other two persons are wearing white hats, but he couldn't be able to say.it means certainly one person is wearing white hat or else both of them wearing red hat.
2. similarly second person also couldn't be able to predict his own hat, the same reason above applies.
hence third person can easily predict knowing that his colour of hat can only be red.
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