Challenge

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    There is a building of 100 floors. If an egg drops from the Nth floor or above, it will break.
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    Some men are on an island. A genie comes down and gathers everyone to­gether and places a magical hat on some people’s heads.
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    There are three ants on different vertices of a triangle. What is the probability of colli­sion (between any two or all of them) if they start walking on the sides of the triangle?