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JEE Advanced Mathematics question

MathematicsProbabilityJEE Advanced

Three particles , and start to move from three vertices of a triangle with the same uniform speed along the sides of the triangle at random. The probability that they will collide is

Answer: (C)

Solution

Each particle chooses one of the two sides at its vertex (clockwise or anticlockwise), so there are equally likely ways. They avoid collision only if all three go the

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Question ID VK-110195