Home
Class 12
MATHS
Statement -1 : P(A//B)ge P(A), then P(B/...

Statement -1 : `P(A//B)ge P(A)`, then `P(B//A) ge P(B)`.
Statement-2 : `P(A//B)=(P(A cap B))/(P(B))`.

A

Statement -1 is True, Statement -2 is True, Statement -2 is a correct explanation for statement -1.

B

Statement -1 is True, Statement -2 is True , Statement -2 is NOT a correct explanation for Statement -1.

C

Statement -1 is True, Statement-2 is False.

D

Statement -1 is False , Statement -2 is True.

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • PROBABILITY

    FIITJEE|Exercise SOLVED PROBLEMS (OBJECTIVE) Comphrehension|2 Videos

  • PROBABILITY

    FIITJEE|Exercise ASSIGNMENT PROBLEMS (SUBJECTIVE)|11 Videos

  • PROBABILITY

    FIITJEE|Exercise SOLVED PROBLEMS (SUBJECTIVE)|8 Videos

  • PERMUTATIONS & COMBINATIONS

    FIITJEE|Exercise NUMERICAL BASED|3 Videos

  • PROGRESSION & SERIES

    FIITJEE|Exercise NUMERICAL BASED|3 Videos

Similar Questions

Explore conceptually related problems

Statement-1 P(A)nnP(B)=P(AnnB) , where P(A) is power set of set A. Statement-2 P(A)uuP(B)=P(AuuB) .

Statement-1 If A is any event and P(B)=1 , then A and B are independent Statement-2 P(AcapB)=P(A)cdotP(B), if A and B are independent

Let A, B and C be three events such that P(C )=0 Statement-1: P(A cap B cap C)=0 Statement-2: P(A cup B cup C)=P(A cup B)

Let P(E) denote the probability of occurrence of event E. If A and B are two events associated with an experiment such that |[P(A)-1,P(B),-P(A nn B)],[P(B),-P(A nn B),P(A)-1],[-P(A nn B),P(A)-1,P(B)]|=0 then (A) P(A uu B)=1 (B) P(A/B)=(P(A)+P(B)-1)/(P(B)) (C) if A sub B then P(B)=P(A uu B) (D) if A sub B then P(A)=1

If P(A) = 2/7 and P(B')=1/3 ," then " P(A') + P(B)=

Let A and B be two events such that P(A cup B)=P(A cap B) . Then, Statement-1: P(A cap overline(B))=P(overline(A) cap B)=0 Statement-2: P(A)+P(B)=1

Consider the following statements: 1. P(bar(A) uuB) = P(bar(A)) +P(B) - P(bar(A)nnB) 2. P(A nn bar(B)) = P(B) - P(A nn B) 3. P(A nn B) = P(B) P(A|B) Which of the above statements are correts ?

FIITJEE-PROBABILITY-SOLVED PROBLEMS (OBJECTIVE)
  1. Aa n dB play a game of tennis. The situation of the game is as follows...

    Text Solution

    |

  2. Six different balls are put in three different boxes, no box being emp...

    Text Solution

    |

  3. If P(overset(-)(B))=(1)/(4),p(overset(-)A cap B cap overset(-)C )=(1)/...

    Text Solution

    |

  4. A fair dice is thrown untill a score of less than 5 points is obtained...

    Text Solution

    |

  5. The letters of the word PRABABILITY are written down at random in a ...

    Text Solution

    |

  6. If (1+4p)/p,(1-p)/4,(1-2p)/2 are probabilities of three mutually exc...

    Text Solution

    |

  7. A fair coin is tossed 9 times the probability that at least 5 consecut...

    Text Solution

    |

  8. Consider f(x)=x^(3)+ax^(2)+bx+c, parameters a,b,c are chosen respectiv...

    Text Solution

    |

  9. From an um containing x white and y-x black balls, n balls have been l...

    Text Solution

    |

  10. An unbiased coin is tossed n times. Let X denote the number of times h...

    Text Solution

    |

  11. Three six-faced dice are thrown together. The probability that the sum...

    Text Solution

    |

  12. A square is incribed in a circle . If p(1) is the probability that a r...

    Text Solution

    |

  13. There are two die A and B both having six faces. Die A has three faces...

    Text Solution

    |

  14. There are two die A and B both having six faces. Die A has three faces...

    Text Solution

    |

  15. There are two die A and B both having six faces. Die A has three faces...

    Text Solution

    |

  16. Statement -1 : P(A//B)ge P(A), then P(B//A) ge P(B). Statement-2 : P(...

    Text Solution

    |

  17. A rack has 5 different pairs of shoes. The probability that 4 shoes ar...

    Text Solution

    |

  18. If a 9 digit number is formed using the digits 1 to 9 without repetiti...

    Text Solution

    |

  19. The condition that x^(n+1)-x^(n)+1 shall be divisible by x^(2)-x+1 is ...

    Text Solution

    |

  20. If m is selected at random from set {1,2,…..,10} and the probability t...

    Text Solution

    |