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JEE Main 2015 Mathematics question

MathematicsProbabilityJEE Main 2015

If the lengths of the sides of a triangle are decided by the three throws of a single fair die, then the probability that the triangle is of maximum area given that it is an isosceles triangle, is:

Answer: (1)

Solution

This is a conditional probability, so count ordered triples in the conditioning event first. **Isosceles triples that form a triangle.** If all three are equal, for , the triangle inequality always holds: 6 ordered triples. If exactly two are equal, say sides with , the

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Question ID VK-115403