Home
Class 11
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.

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • PERMUTATIONS

    RD SHARMA ENGLISH|Exercise All Questions|291 Videos

  • QUADRATIC EQUATIONS

    RD SHARMA ENGLISH|Exercise All Questions|85 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.

RD SHARMA ENGLISH-PROBABILITY-All Questions
  1. If the letters of the word MISSISSIPPI are written down at random i...

    Text Solution

    |

  2. What is the probability that the 13th days of a randomly chosen mon...

    Text Solution

    |

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

    Text Solution

    |

  4. If E\ a n d\ E2 are independent events, write the value of P(E1uuE2)...

    Text Solution

    |

  5. If A\ a n d\ B are two independent events such that P(barAnnB)=2/15\...

    Text Solution

    |

  6. Three digit numbers are formed using the digits 0,2,4,6,8. A number...

    Text Solution

    |

  7. One card is drawn from a pack of 52 cards. The probability that it i...

    Text Solution

    |

  8. Two dice are thrown together. The probability that a lest one will ...

    Text Solution

    |

  9. Two dice are thrown simultaneously. the probability of obtaining a ...

    Text Solution

    |

  10. Two dice are thrown simultaneously. the probability of obtaining to...

    Text Solution

    |

  11. The probability of getting  total of 10 in a single throw of two dice ...

    Text Solution

    |

  12. A card is drawn at random from a pack of 100 cards numbered 1 to 10...

    Text Solution

    |

  13. A bag contains 3 red, 4 white and 5 blue balls. All balls are diffe...

    Text Solution

    |

  14. Two dice are thrown together. The probability that neither they sho...

    Text Solution

    |

  15. Four persons are selected at random out of 3 men, 2 women and 4 chi...

    Text Solution

    |

  16. Two events A and B have probabilities 0.25 and 0.50, respectively. The...

    Text Solution

    |

  17. A die is rolled, then the probability that a number 1 or 6 may appea...

    Text Solution

    |

  18. Six boys and six girls sit in a row randomly. The probability that a...

    Text Solution

    |

  19. The probabilities of three mutually exclusive events A, B and C are...

    Text Solution

    |

  20. If ((1-3p))/2,((1+4p))/3,((1+p))/6 are the probabilities of three ...

    Text Solution

    |