Home
Class 12
MATHS
3 out of 6 vertices of a regular hexagon...

3 out of 6 vertices of a regular hexagon are chosen at a time at random. The probability that the triangle formed with these vertices is an equilateral triangle , is

A

`1//2`

B

`1//5`

C

`1//10`

D

`1//20`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • PROBABILITY

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE-1B|62 Videos

  • PROBABILITY

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE-1C|142 Videos

  • PROBABILITY

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 (SPECIAL TYPE QUESTIONS) SET-4|5 Videos

  • PERMUTATIONS & COMBINATIONS

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 ( SPECIAL TYPE QUESTIONS ) SET -4|10 Videos

  • PRODUCTS OF VECTORS

    DIPTI PUBLICATION ( AP EAMET)|Exercise Exercise 2 (Special Type Questions) SET -D|14 Videos

Similar Questions

Explore conceptually related problems

3 out of 6 vertices of a regular hexagon are chosen at a time at random. The probability that the triangle formed with these three vertices is an equilateral triangle , is

Using the vertices of a polygon having 12 sides a triangle is constructed at random. The probability that the triangle so formed is such that no side of the polygon is side of the triangle is

The number of triangles formed by joining the vertices of a hexagon is

The alternate vertices of a regular hexagon are joined to form another regular hexagon. The ratio of the sides of two hexagone is

The letters of the word TRIANGLE are arranged at random. The probability that the word so formed starts with T and ends with R is

The co-ordinates of centroid of the triangle formed with the vertices (-1,3),(6,-3) and (-3,6) is…..

p points are chosen on each of the three coplanar lines. The maximum number of triangles formed with vertices at these points is

DIPTI PUBLICATION ( AP EAMET)-PROBABILITY-EXERCISE-1A
  1. If four squares are chosen at random on a chess board, then the probab...

    Text Solution

    |

  2. If 7 squares are chosen at random on a chess board, the probability th...

    Text Solution

    |

  3. Two squares of a chess board are chosen at random, the probability tha...

    Text Solution

    |

  4. Three squares of a chess board are chosen at random, the probability t...

    Text Solution

    |

  5. A determinant is chosen at random from the set of all determinants of ...

    Text Solution

    |

  6. A determinant is chosen at random from the set of all determinants of ...

    Text Solution

    |

  7. The number of 3xx3 non-singular matrices, with four entries as 1 and a...

    Text Solution

    |

  8. 3 out of 6 vertices of a regular hexagon are chosen at a time at rando...

    Text Solution

    |

  9. A bag contains n white and n black balls. Pairs of balls are drawn un...

    Text Solution

    |

  10. The number of subesets contining atmost 3 elements that can be picked ...

    Text Solution

    |

  11. The number of subesets contining atmost 2 elements that can be picked ...

    Text Solution

    |

  12. S is a set containing n elements. If two subsets A and B of S picked a...

    Text Solution

    |

  13. A mapping is selected at random from the set of all the mappings of th...

    Text Solution

    |

  14. A mapping is selected at random from the set of all the mappings of th...

    Text Solution

    |

  15. A mapping is selected at random from the set of all the mappings of th...

    Text Solution

    |

  16. Let A and B be two finite sets having m and n elements respectively su...

    Text Solution

    |

  17. A binary operation is chosen at random from the set of all binary oper...

    Text Solution

    |

  18. If three dice are thrown , the probability that they show the numbers ...

    Text Solution

    |

  19. Out of (2n+1) tickets consecutively numbered , three are drawn at rand...

    Text Solution

    |

  20. Out of 2n tickets numbered 1,2 …..2n, 3 are chosen at random. The prob...

    Text Solution

    |