Ants on Triangle

Three ants are sitting at the three corners of an equilateral triangle. Each ant starts randomly picks a direction and starts to move along the edge of the triangle. What is the probability that none of the ants collide?




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Can you find a number that lies one third of the distance between 1/3 and 2/3?

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I have thought of a number that is made up by using all the ten digits just once. Here are a few clues for you to guess my number:

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First four digits are divisible by 4.
First five digits are divisible by 5.
First six digits are divisible by 6.
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Amazing Facts

Challenging

There is a cryptic organization called Cicada 3301 that posts challenging puzzles online, possibly to recruit codebreakers and linguists.