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QJEEM19Ma1f61: JEE Main 2019 Mathematics - Class 12 JEEM19Ma1f61 Solution: If three of the six vertices of a regular hexagon are chosen at …

If three of the six vertices of a regular hexagon are chosen at random, then the probability that the triangle formed with these chosen vertices is equilateral is :

Multiple Choice Options

  • A 110
  • B 310
  • C 320
  • D 15

Step-by-Step Verified Solution

JEE Main 2019 (Online) 12th April Morning Slot Mathematics - Probability Question 151 English Explanation
Choosing vertices of a regular hexagon alternate, here A1, A3, A5 or A2, A4, A6 will result in an equilateral triangle.

Hence the required probability = 26C3 = 110

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