Home
Class 12
MATHS
In a n- sided regular polygon, the proba...

In a `n-` sided regular polygon, the probability that the two diagonal chosen at random will intersect inside the polygon is: (a.)`(2^n C_2)/(^(^(n C_(2-n)))C_2)` (b.) `("^(n(n-1))C_2)/(^(^(n C_(2-n)))C_2)` (c.) `(^n C_4)/(^(^(n C_2-n))C_2)` (d.) none of these

Promotional Banner

Topper's Solved these Questions

  • PRINCIPLE OF MATHEMATICAL INDUCTION

    CENGAGE PUBLICATION|Exercise Sovled Examples|22 Videos
  • PROBABILITY I

    CENGAGE PUBLICATION|Exercise JEE Advanced|7 Videos

Similar Questions

Explore conceptually related problems

The value of (.^(n)C_(0))/(n)+(.^(n)C_(1))/(n+1)+(.^(n)C_(2))/(n+2)+"..."+(.^(n)C_(n))/(2n)

Evaluate .^(n)C_(0).^(n)C_(2)+.^(n)C_(1).^(n)C_(3)+.^(n)C_(2).^(n)C_(4)+"...."+.^(n)C_(n-2).^(n)C_(n) .

Prove that (.^(2n)C_0)^2-(.^(2n)C_1)^2+(.^(2n)C_2)^2-..+(.^(2n)C_(2n))^2 = (-1)^n.^(2n)C_n .

The value of the sum (.^(n)C_(1))^(2)+(.^(n)C_(2))^(2)+(.^(n)C_(3))^(2)+....+(.^(n)C_(n))^(2) is -

If ""^(n)C_(8)=""^(n)C_(2) , find ""^(n)C_(2) .

.^(n)C_(r)+2.^(n)C_(r-1)+.^(n)C_(r-2)=.^(n+2)C_(r)(2lerlen) .

Prove that 1/(n+1)=(.^n C_1)/2-(2(.^n C_2))/3+(3(.^n C_3))/4- . . . +(-1^(n+1))(n*(.^n C_n))/(n+1) .

Prove that .^(n)C_(0) + (.^(n)C_(1))/(2) + (.^(n)C_(2))/(3) + "……" +(. ^(n)C_(n))/(n+1) = (2^(n+1)-1)/(n+1) .

Find the coefficient of x^n in the polynomial (x+^n C_0)(x+3^n C_1)xx(x+5^n C_2)[x+(2n+1)^n C_n]dot

Show that .^(n)C_(r)+.^(n-1)C_(r-1)+.^(n-1)C_(r-2)=.^(n+1)C_(r) .

CENGAGE PUBLICATION-PROBABILITY-All Questions
  1. A 2n digit number starts with 2 and all its digits are prime, then the...

    Text Solution

    |

  2. The numbers (a ,b ,c) are selected by throwing a dice thrice, then the...

    Text Solution

    |

  3. In a n- sided regular polygon, the probability that the two diagonal c...

    Text Solution

    |

  4. A three-digit number is selected at random from the set of all thre...

    Text Solution

    |

  5. Words from the letters of the word PROBABILITY are formed by taking al...

    Text Solution

    |

  6. The probability of winning a race by three persons A ,B , and C are 1/...

    Text Solution

    |

  7. A die is rolled 4 times. The probability of getting a larger number ...

    Text Solution

    |

  8. A die is thrown three times, find the probability that 4 appears on th...

    Text Solution

    |

  9. In a test an examine either guesses or copies or knows the answer to a...

    Text Solution

    |

  10. find the projection of the vector vec a=2hat i+3 hat j+2 hat k, on the...

    Text Solution

    |

  11. Numberse are selected at random, one at a time, from the two-digit num...

    Text Solution

    |

  12. A lot contains 50 defective and 50 non-defective bulbs. Two bulbs are ...

    Text Solution

    |

  13. An urn contains m white and n black balls. A ball is drawn at random ...

    Text Solution

    |

  14. If Aa n dB are two independent events such that P(A)=1//2 a n d P(B)=1...

    Text Solution

    |

  15. Suppose the probability for A to win a game against B is 0.4. If A has...

    Text Solution

    |

  16. A box contains two 50 paise coins, five 25 paise coins and a certain ...

    Text Solution

    |

  17. In how many ways three girls and nine boys can be seated in two vans, ...

    Text Solution

    |

  18. Five different marbles are placed in 5 different boxes randomly. Then ...

    Text Solution

    |

  19. There are 10 prizes, five A's, three B's, and two C's placed in identi...

    Text Solution

    |

  20. A mawn takes a step forward with probability 0.4 and backward with pro...

    Text Solution

    |