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J & K CET Engineering J and K - CET Engineering Solved Paper-2004

  • question_answer
    Three of the six vertices of a regular hexagon are chosen at random. The probability that the triangle with three vertices is equilateral is equal to

    A) \[\frac{1}{2}\]

    B) \[\frac{1}{5}\]

    C) \[\frac{1}{10}\]

    D) \[\frac{1}{20}\]

    Correct Answer: C

    Solution :

    In a regular hexagon, there are two equilateral triangle are possible. \[\therefore \] Required probability \[=\frac{2}{^{6}{{C}_{3}}}\] \[\frac{2}{\frac{6\times 5\times 4}{3\times 2}}=\frac{1}{10}\]


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