3 Mathematics Tutors are seated one behind another.
Another person showed them 3 grey hats and 2 white hats, blindfolded them, put one hat on each head, and threw the rest away. When the blindfolds were off, they all looked in front of them.
Each was asked in turn what colour hat she or he had. No one could answer. After a long thoughtful silence, the person in front who could see no one’s hat was able to respond correctly about his own hat.
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How was this done ?
👍😄😄👏👏👏✅
排列组合
1。W - W✅ -G✅
2。W - G✅ - W/G?
3。G✅ - W/G? - W/G?
7 combinations
好！
Person at the back:
If he saw *2 white hats* in front, his hat *must be grey*
If he cannot guess, it means the first 2 people have *at least 1 grey hat*
Person in the middle:
If he sees *white hat in front*, it means his hat *must be grey*
If he cannot guess too, it means the front guy's hat is *grey*.
Therefore, when they both do not answer, the front guy can deduce *his hat is grey!*
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