Home
Class 11
MATHS
For any three events A. B.' C show thatP...

For any three events A. B.' C show that`P(AcupBcupC)=P(A)+P(B)+P(C)-P(AcapB)-P(BcapC)-P(CcapA)+P(AcapBcapC)`

Promotional Banner

Topper's Solved these Questions

  • MODEL QUESTION PAPERS-SET 6

    UNITED BOOK HOUSE|Exercise EXERCISE|47 Videos

  • MODEL QUESTION PAPERS-SET 8

    UNITED BOOK HOUSE|Exercise EXERCISE|50 Videos

Similar Questions

Explore conceptually related problems

For any three events A, B and C, prove that. P(A cup B cup C) = P(A) + P(B) + P( C)-P(Acap B) -P(BcapC) - P(CcapA) + P(Acap B cap C).

For any two events A and B, show that, P(A uu B) = P(A) + P(B) - P(A nn B) .

For any two events A and B prove that, P(A cup B) le P(A) + P(B)

For any two events A and B prove that P(A cup B) le P{A) + P (B) .

For any sets A and B, show that P ( A ∩ B ) = P ( A ) ∩ P ( B ) .

Foe any two events A and B prove that , P(A)geP(AcapB)geP(A)+P(B)-1

For any two events A and b prove that, P(A) ge P(A cap B) ge P(A) + P(B) - 1

For any two events A and b prove that, P(A cap B ) le P(A) le P(A cup B ) le P(A) + P(B)

For any two events A and B prove that, P(A//B) lt P(B//A) " if " P(A) lt P(B)

If A and B are two events then show that P(B) = P(A). P(B/A) + P(A^C).P(B/A^C).0 < P(A) < 1 .

UNITED BOOK HOUSE-MODEL QUESTION PAPERS-SET 7-EXERCISE
  1. If n(p(r-1))/a=n(pr)/b=n(p(r+1))/c,then show that b^2=a(b+c)

    Text Solution

    |

  2. Show that the four lines 2x+y+1=0,2x+y+7=0,x+2y-1=0 and x+2y+5=0 form ...

    Text Solution

    |

  3. Find the equation-of the bisector of the obtused angle between the st...

    Text Solution

    |

  4. The co-ordinate of centre and the diameter of a circle are (3, 7) and ...

    Text Solution

    |

  5. Find the ratio in which the YZ. plane divides the line segment joining...

    Text Solution

    |

  6. Evaluate :lim(xrarr0)(sqrtcosx-root(3)(cosx))/(sin^2x)

    Text Solution

    |

  7. Find, form 1st principles, the derivatives of tansqrtxwith respect to ...

    Text Solution

    |

  8. Using contrapositive method show that the following statement is true....

    Text Solution

    |

  9. Find the validity of the following biconditional Statement. A triangle...

    Text Solution

    |

  10. For any three events A. B.' C show thatP(AcupBcupC)=P(A)+P(B)+P(C)-P(A...

    Text Solution

    |

  11. The mean and SD of the scoreing marks of 100 students are 40 and 5.1 r...

    Text Solution

    |

  12. if tan (beta/2)=4 tan (alpha/2),show that tan( (beta-alpha)/2)=(3sinal...

    Text Solution

    |

  13. If xcos(theta+120^@)=y cos (theta+240^@),show that x-y=-(x+y)sqrt3tant...

    Text Solution

    |

  14. If one root is the square of another of an equationax^2+2ibx+ic=0,then...

    Text Solution

    |

  15. If the sum of 1st M terms of an AP is m. and the sum of 1st N terms is...

    Text Solution

    |

  16. Exhibit graphically the solution region of the following system of 'in...

    Text Solution

    |

  17. How many numbers can be formed with the digits 1, 2, 3, 4, 3, 2, 1 so ...

    Text Solution

    |

  18. Find the equation of an ellipse having eccentricity 2/3 and the co-ord...

    Text Solution

    |

  19. The axis of a parabola is along x axis and vertex is(0.0).If it passes...

    Text Solution

    |

  20. e1and e2 are respectively the eccentricities of a hyperbola and its ...

    Text Solution

    |