Home
Class 12
MATHS
Three of the six vertices of a regular h...

Three of the six vertices of a regular hexagon are chosen the random. What is the probability that the triangle with these vertices is equilateral.

A

`(1)/(2)`

B

`(1)/(3)`

C

`(1)/(10)`

D

`(1)/(20)`

Text Solution

Verified by Experts

The correct Answer is:
(c)
Promotional Banner

Topper's Solved these Questions

  • PROBABILITY

    ARIHANT MATHS ENGLISH|Exercise Probability Exercise 1: Single Option Single Correct Type Question|1 Videos

  • PROBABILITY

    ARIHANT MATHS ENGLISH|Exercise Exercise (More Than One Correct Option Type Questions)|15 Videos

  • PROBABILITY

    ARIHANT MATHS ENGLISH|Exercise Exercise For Session 4|15 Videos

  • PERMUTATIONS AND COMBINATIONS

    ARIHANT MATHS ENGLISH|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|28 Videos

  • PRODUCT OF VECTORS

    ARIHANT MATHS ENGLISH|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|51 Videos

Similar Questions

Explore conceptually related problems

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

Three of six vertices of a regular hexagon are chosen at random. Tie probability that the triangle formed by these vertices is an equilateral triangle is

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

A letter is chosen from the word 'TRIANGLE'. What is the probability that it is a vowel?

Three vertices are chosen at random from the vertices of a regular hexagon then The probability that the triangle has exactly two sides common with the side of the hexagon is

Three numbers are chosen at random from 1 to 20 .The probability that they are consecutive is

A letter of English alphabet is chosen at random. Determine the probability that the chosen letter is a consonant.

A letter of English alphabet is chosen at random. Determine the probability that the chosen letter is a consonant.

Three vertices are chosen randomly from the seven vertices of a regular 7 -sided polygon. The probability that they form the vertices of an isosceles triangle is

If the vertices of a triangle have rational coordinates, then prove that the triangle cannot be equilateral.

ARIHANT MATHS ENGLISH-PROBABILITY-Exercise (Single Option Correct Type Questions)
  1. The numbers 1, 2, 3, ..., n are arrange in a random order. The probabi...

    Text Solution

    |

  2. Four identical dice are rolled once. The probability that at least thr...

    Text Solution

    |

  3. Three of the six vertices of a regular hexagon are chosen the rando...

    Text Solution

    |

  4. If two of the 64 squares are chosen at random on a chess board, the pr...

    Text Solution

    |

  5. A letter is known to have come from CHENNAI, JAIPUR, NAINITAL, DUBAI a...

    Text Solution

    |

  6. Let a die is loaded in such a way that prime number faces are twice as...

    Text Solution

    |

  7. One ticket is selected at random from 100 tickets numbered 00,01,02, …...

    Text Solution

    |

  8. All the spades are taken out from a pack of cards. From these cards; c...

    Text Solution

    |

  9. A number is selected at random from the first 25 natural numbers. I...

    Text Solution

    |

  10. A bag contains 50 tickets numbered 1, 2, 3, .., 50 of which five are ...

    Text Solution

    |

  11. India play two matches each with West Indies and Australia. In any ...

    Text Solution

    |

  12. Three six faced dice are tossed together, then the probability that ex...

    Text Solution

    |

  13. Three six-faced dice are thrown together. The probability that the sum...

    Text Solution

    |

  14. A book contains 1000 pages. A page is chosen at random. Find the proba...

    Text Solution

    |

  15. A bag contains 4 tickets numbered 00, 01, 10 and 11. Four tickets are ...

    Text Solution

    |

  16. Fifteen coupens are numbered 1,2,3,...15 respectively. Seven coupons a...

    Text Solution

    |

  17. The box contains tickets numbered from 1 to 20. Three tickets are draw...

    Text Solution

    |

  18. An unbiased die with faces marked 1,2,3,45 and 6 is rolled four times...

    Text Solution

    |

  19. A bag contains four tickets marked with numbers 112, 121, 211,222. One...

    Text Solution

    |

  20. Two non negative integers are chosen at random. The probability that t...

    Text Solution

    |