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Three of six vertices of a regular hexag...

Three of six vertices of a regular hexagon are chosen at random. The probability that the triangle with three vertices is equilateral is `1//2` b. `1//5` c. `1//10` d. `1//20`

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Knowledge Check

  • If four vertices a regular octagon are chosen at random, then the probability that the quadrilateral formed by them is a rectangle is

    A
    `(1)/(8)`
    B
    `(2)/(21)`
    C
    `(1)/(32)`
    D
    `(1)/(35)`
  • If three vertices of a regular hexagon are chosen at random, then the chance that they form an equilateral triangle is :

    A
    `1/3`
    B
    `1/5`
    C
    `1/(10)`
    D
    `1/2`
  • If three vertices of a regular hexagon are chosen at random, then the chance that they form an equilateral triangle is :

    A
    `1/3`
    B
    `1/5`
    C
    `1/10`
    D
    `1/2`
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