## [Popular Puzzles ] Ant Problem Probability Quiz

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• Ant Problem Probability Quiz - 1 August Three ants are sitting at the three corners of an equilateral triangle. Each ant starts randomly picks a direction and
Message 1 of 2 , Aug 1, 2011
Ant Problem Probability Quiz  - 1 August

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?

Solution
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• Each ant can choose one of two directions, leading to a possibility of 2x2x2 = 8 choices. There are 2 possibilities for total avoidance, namely, they all
Message 2 of 2 , Aug 1, 2011
Each ant can choose one of two directions, leading to a possibility of 2x2x2 = 8 choices.  There are 2 possibilities for total avoidance, namely, they all choose clockwise, and they all choose counterclockwise.  So the answer is 2/8 = 25%.

Ed

From: lavesh rawat <love19_foryou@...>
Sent: Mon, August 1, 2011 3:17:28 AM
Subject: [puzzles] [Popular Puzzles ] Ant Problem Probability Quiz

Ant Problem Probability Quiz  - 1 August

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?