Home
Class 12
MATHS
Two events A and B are such that P(A)= (...

Two events A and B are such that `P(A)= (1)/(4)P(A|B) = (1)/(4)` and `P(B|A) = (1)/(2)`,
Consider the following statements:
I) `P(overlineA|overlineB) = (3)/(4)` II) A and B are mutually exclusive III) `P(A|B) +P(A|B) = 1` , then

A

Only (I) is correct

B

Only (I) and (II) are correct

C

Only (I) and (III) are correct

D

Only (II) and (III) are correct

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • PROBABILITY

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 (SPECIAL TYPE QUESTIONS) SET-1|6 Videos

  • PROBABILITY

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 (SPECIAL TYPE QUESTIONS) SET-2|8 Videos

  • PROBABILITY

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE-1B|62 Videos

  • PERMUTATIONS & COMBINATIONS

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 ( SPECIAL TYPE QUESTIONS ) SET -4|10 Videos

  • PRODUCTS OF VECTORS

    DIPTI PUBLICATION ( AP EAMET)|Exercise Exercise 2 (Special Type Questions) SET -D|14 Videos

Similar Questions

Explore conceptually related problems

Two events A and B are such that P(A) = (1)/(2), P(A|B) = (1)/(4) and P(B|A) = (1)/(2) Consider the following statements : (I) P(bar(A) | bar(B)) = (3)/(4) (II) A and B are mutually exclusive (III) P(A|B) + P(A|B) = 1 . Then

If A and B are mutually exclusive such that P(A)=0.4 , P(AuuB)=0.7 then P(B)=

If A and B are two events such that P(A)=(1)/(2) and P(B)=(2)/(3) then

If A and B are two events such that P(A) =(1)/(4), P(B) = (1)/(2) and P(A cap B) = (1)/(8) , find P (not A and not B).

If A and B are events such that P(AuuB)=(5)/(6) , P(barA)=(1)/(4) , P(B)=(1)/(3) , then A and B are

If A,B are mutually exclusive and P(B)gt0 " then "P((A)/(B))=0.

DIPTI PUBLICATION ( AP EAMET)-PROBABILITY-EXERCISE-1C
  1. If P(overlineA) = 0.7, P(B) = 0.7 and P(B|A) = 0.5, then P(AcupB )=

    Text Solution

    |

  2. If A and B are two events such that P(A|B) =0.6 , P(B|A)=0.3, P(A) = 0...

    Text Solution

    |

  3. Two events A and B are such that P(A)= (1)/(4)P(A|B) = (1)/(4) and P(B...

    Text Solution

    |

  4. Two dice are thrown at a time and the sum of the numbers on them is 6....

    Text Solution

    |

  5. If two dice are thrown simultaneously , then the sum of the numbers on...

    Text Solution

    |

  6. Out of numbers 1,2,3,….9, two numbers are chosen at random, so that th...

    Text Solution

    |

  7. Three numbers are selected at random without replacement from the set ...

    Text Solution

    |

  8. A box contains 100 tickets, numbered 1,2,….100. Two tickets are chosen...

    Text Solution

    |

  9. Three numbers are chosen at random without replacement from {1,2,3,….8...

    Text Solution

    |

  10. For a biased die the probability for different faces to turn up are gi...

    Text Solution

    |

  11. In a bag there are 6 red, 4 black balls. From it 2 balls (without repl...

    Text Solution

    |

  12. In a class , 40% students study History, 25% Civics and 15% both Histo...

    Text Solution

    |

  13. One ticket is selected at random from 100 tickets numbered 00, 01, 02,...

    Text Solution

    |

  14. One ticket is selected at random from 50 tickets numbered 00, 01, 02, ...

    Text Solution

    |

  15. A box contains 10 mangoes out of which 4 are spoiled. 2 mangoes are ta...

    Text Solution

    |

  16. If A, B are two independent events such that P(A) = 3/4, P(B) =2/5 the...

    Text Solution

    |

  17. If A,B are two independent events such that P(A) = 0.5, P(barB) = 0.3 ...

    Text Solution

    |

  18. If P(A) = 0.4, P(AcupB) =0.8 and A,B are independent then P(B)=

    Text Solution

    |

  19. If A and B are two independent events such that P(B) = 2/7, P(AcupB)=0...

    Text Solution

    |

  20. If A and B are two independent events such that P(barA cap B) = 2//15 ...

    Text Solution

    |