ExamHabit
Practise free

1995

JEE Main 1995 Mathematics question on Probability

Three of the six vertices of a regular hexagon are chosen at random. The probability that the triangle with three vertices is equilateral, equals
  1. A.
    1/2
  2. B.
    1/5
  3. C.
    1/10
  4. D.
    1/20
Show answer and solution

Correct option: C

Solution

Total ways to choose 3 vertices from 6 = C(6,3) = 20.

Equilateral triangles possible: only 2 (the two sets of alternate vertices: {1,3,5} and {2,4,6}).

Probability = 2/20 = 1/10.

[1995]

Practise Probability the way it is asked

A timed set of real JEE Main Probability questions, graded as the exam grades. No sign-up.

Start a Probability test

More: all JEE Main Probability questions · JEE Main 1995 · Mathematics chapter list