Home
Class 12
MATHS
If P(A/C) gt P(B/C) and P(A/(bar C)) gt ...

If `P(A/C) gt P(B/C)` and `P(A/(bar C)) gt P(B/(bar C)),` then the relationship between `P(A)` and `P(B)` is (A) `P(A)=P(B)` (B) `P(A) le P(B)` (C) `P(A) gt P(B)` (D) `P(A) ge P(B)`

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • INVERSE TRIGONOMETRIC FUNCTIONS

    RESONANCE DPP ENGLISH|Exercise All Questions|15 Videos

  • MATRICES

    RESONANCE DPP ENGLISH|Exercise All Questions|7 Videos

Similar Questions

Explore conceptually related problems

If P(A|B) gt P(A) , then which of the following is correct:(A) P(B | A) lt; P(B) (B) P(AnnB) lt P(A)* P(B) (c) P(B|A) gt P(B) (D) P(B | A) = P(B)

If A and B are any two events such that P(A) + P(B) - P(A a n d B) = P(A) ? then(A) P(B | A) = 1 (B) P(A | B) = 1 (C) P(B | A) = 0 (D) P(A | B) = 0

If A and B are two events, then P(A) + P(B) = 2P(AnnB) if and only if A. P(A)+P(B)=1 B. P(A)=P(B) C. P(A)=P(B) D. None of these

If the events A and B are independent then P(AnnB) is equal to :: a. P(A)+P(B) b. P(A)-P(B) c. P(A)P(B) d. (P(A))/(P(B))

If A and B are two events, then P( A nnB)=?? a.) P( A )P( B ) b.) 1-P(A)-P(B) c.) P(A)+P(B)-P(AuuB) d.) P(B)-P(AnnB)

If A and B are arbitrary events, then a) P(A nn B) ge P(A)+ P(B) (b) P(A uu B) le P(A)+ P(B) (c) P(AnnB)=P(A)+ P(B) (d)None of these

Two events A and B will be independent, if(A) A and B are mutually exclusive(B) P(Aprime ∩ Bprime)=[1-P(A)][1-P(B)] (C) P(A) = P(B) (D) P(A) + P(B) = 1

If A and B are two events such that AsubB and P(B)!=0, them which of the following is correct? (A) P(A | B) =(P(B))/(P(A) (B) P(A|B)ltP(A) (C) P(A|B)geP(B) (D) none of these

If A and B are two events that P(A) gt 0 and P(B) != 1 , then P(A/B) is equal to

If A and B are two events suc that P(A) gt 0 and P(A)+P(B) gt 1, then P(B//A)ge1-(P(B'))/(P(A))

RESONANCE DPP ENGLISH-JEE MAINS-All Questions
  1. If int(3x^(2)+2x)/(x^(6)+2x^(5)+x^(4)+2x^(3)+2x^(2)+5)dx = F(x), then ...

    Text Solution

    |

  2. If f(x)=int0^x(sint)/t dt ,x >0, then (a)f(x) has a local maxima at x=...

    Text Solution

    |

  3. If P(A/C) gt P(B/C) and P(A/(bar C)) gt P(B/(bar C)), then the relatio...

    Text Solution

    |

  4. The value of int((x^(2)+1))/((x^(4)-x^(2)+1)cot^(-1)(x-(1)/(x)))dx wil...

    Text Solution

    |

  5. about to only mathematics

    Text Solution

    |

  6. The value of the integral int0^2("log"(x^2+2))/((x+2)^2)dx is (sqrt(2)...

    Text Solution

    |

  7. Let f(x)=a x^2+b x+cw h e ra in R^+a n db^2-4a c<0. Area bounded by y...

    Text Solution

    |

  8. If int (1)/((sinx + 4)(Sin x - 1))dx = A (1)/(tan (x)/(2) - 1) + B t...

    Text Solution

    |

  9. If the greatest value of sin^2alpha is a/(256), then the value of [...

    Text Solution

    |

  10. Let f(x) be a function such that 2f(x)+f((x+1)/(x-1))=x. AAx in R...

    Text Solution

    |

  11. If 4- horses participate in race. The number of ways in which they can...

    Text Solution

    |

  12. The exact value of cos((2pi)/28)cosec((3pi)/28)+cos((6pi)/28)cosec((9p...

    Text Solution

    |

  13. Range of g(theta)=f^(-1)(sintheta) is- [-1,1] (b) [-2,2] [-3,3] (d)...

    Text Solution

    |

  14. Let f be a function satisfying the functional rule 2f(x)+f(1-x)=xAA...

    Text Solution

    |

  15. Consider set A = { 1,2,3}. Number of symmetric relations that can be ...

    Text Solution

    |

  16. If |cos x + sin x| + | cos x - sin x| = 2 sin x; x in [0,pi], then max...

    Text Solution

    |

  17. Which of the following is true ? sin 95>sin 63>sin1 (2) sin 95>sin1> ...

    Text Solution

    |

  18. Let the expression E=8^a+8^b-3. 2^(a+b) takes its minimum value ...

    Text Solution

    |

  19. Find the number of solution of theta in [0,2pi] satisfying the equatio...

    Text Solution

    |

  20. Let f: RvecRf(x)=x^3-3x^2+3x-2, then f^(-1)(x) is given by 1+(x+1)...

    Text Solution

    |