Home
Class 12
MATHS
If P(A//C) geP(B//C) P(A//barC) geP(B//b...

If `P(A//C) geP(B//C)` `P(A//barC) geP(B//barC)`, then prove that, `P(A)geP(B)`.

Promotional Banner

Topper's Solved these Questions

  • HIGHER SECONDARY QUESTION 2019

    UNITED BOOK HOUSE|Exercise EXERCISE|40 Videos

  • MODEL QUESTION PAPER SET 10

    UNITED BOOK HOUSE|Exercise EXERCISE|28 Videos

Similar Questions

Explore conceptually related problems

If P(A//B)=P(A//B ') , then prove that A and B are independent.

If P(B/A)=P(B/(A ')) , then prove that A and B are independent.

If (b-c)^(2), (c-a)^(2), (a-b)^(2) are in A.P. then prove that, (1)/(b-c), (1)/(c-a), (1)/(a-b) are also in A.P.

Two events A and B are such that P(A)=(1)/(4), P(B//A)=(1)/(2) and P(A//B)=(1)/(4) , then the value of P(A^(c )//B^(c )) is -

If a(1/b+1/c),b(1/c+1/a),c(1/a+1/b) are in A.P., prove that a,b,c are in A.P.

If A and B are mutually exclusive events, then (a) P(A) le P(barB) (b) P(A) gt P(B) (c) P(B) le P(barA) (d) P(A) gt P(B)

If A and B are two events and P(B) ne 1 , prove that, P(A//B^(c ))=(P(A)-P(A cap B))/(1-P(B)) Hence, deduce that, P(A cap B) gt P(A) +P(B)-1 .

If P(A) = (1)/(3), P(B) = (1)/(2) , P(Acap B ) = (1)/(4) ,find the values of P(B^( c)), P(AcapB^( c)), P(A cup B) ,P(A^( c) cap B^( c)), P(Acup B^( c)).

If P(B)=3//4, P(AnnBnnbarC)=1//3 and P( bar A nnBnn barC )=1//3, t h e nP(BnnC) is a. 1//12 b. 1//6 c. 1//16 d. 1//9

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

UNITED BOOK HOUSE-MISCELLANEOUS EXERCISE-EXERCISE
  1. Solve(d^2y)/(dt^2) = tan y sec ^2 y, given dy/dt = 0 when y = 0

    Text Solution

    |

  2. Prove that cos (sinx) > sin (cos x) for all x in 0 le x le pi//2

    Text Solution

    |

  3. If the line ax+by+c=0 is a normal to the curve xy=1 then

    Text Solution

    |

  4. Prove that all points of the curve y^2=4a[x+asinx/a] at which the lang...

    Text Solution

    |

  5. Find the point on the curve 4x^2 + a2y^2 = 4a^2, 4 < a^2 < 8 that is f...

    Text Solution

    |

  6. The area bounded by the parabola y = x - x^2 and the line y = mx equal...

    Text Solution

    |

  7. Prove that f(x)= sin x+sqrt 3 cosx has maximum value at x=pi/6

    Text Solution

    |

  8. The length of the hypotenuse of a right angled triangle is 3 ft. Find ...

    Text Solution

    |

  9. The angle between the tangents to the curves y=sin x and y = cos x at ...

    Text Solution

    |

  10. Show that f(x) = (x-2)e^x + x + 2 is positive for all positive values ...

    Text Solution

    |

  11. Vectors vecm, vecn, vecr are such that vecm + vecn + vecr = 0, prove t...

    Text Solution

    |

  12. If vecp xx vecq = vecm xx vec n and vecp xx vec m = vecq xx vecn, sho...

    Text Solution

    |

  13. If veca xx vecb + vecb xx vecc + vecc xx veca = 0. Show that the vecto...

    Text Solution

    |

  14. The vector vecr is collinear with vector vecn = 2hati + hatj + 3hatk ...

    Text Solution

    |

  15. If veca,vecb and vecc are three mutually perpendicular vectors of equa...

    Text Solution

    |

  16. Find the equation of the plane passing through the point(1,2,1) and pe...

    Text Solution

    |

  17. Find the vector equation of the following plane in scalar product from...

    Text Solution

    |

  18. two numbers are selected at random from 1,2,3,….., 100 and are multipl...

    Text Solution

    |

  19. In a class, 5% of the boys and 10% of the girls have an IQ more than 1...

    Text Solution

    |

  20. If P(A//C) geP(B//C) P(A//barC) geP(B//barC), then prove that, P(A)geP...

    Text Solution

    |