Puzzle 6: Suppose there are 3 ants at the edge of each triangle. Suppose each ant can move either in clockwise or anti-clockwise direction only. What is the probability that they will not collide?
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Solution: Suppose every moment of ant is representing as
Clockwise – 0
Anti-clockwise – 1
Now there can 8 cases (i.e. 23) which can represent Ants moment as:
There would be only 2 cases when all ants are moving in same direction, in which case they will not collide i.e. Case 1 and Case 8.
So probability will be
2/8 = ¼ = 25%
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