Home
Class 12
MATHS
If P(A) = (3)/(4) and P(B) = (5)/(8), sh...

If P(A) `= (3)/(4) and P(B) = (5)/(8),` show that,`,(3)/(8)le P(A cap B ) le (5)/(8),` Now if the value of `P(A cap B)` is taken to be `(1)/(2)`, calculate `P(A^( c) cap B^( c))`.

Text Solution

Verified by Experts

The correct Answer is:
`(1)/(8)`
Promotional Banner

Topper's Solved these Questions

  • PROBABILITY

    CHHAYA PUBLICATION|Exercise MULTIPLE CHOICE TYPER QUESTIONS|20 Videos
  • PROBABILITY

    CHHAYA PUBLICATION|Exercise VERY SHORT ANSWER TYPE QUESTION|61 Videos
  • PLANE

    CHHAYA PUBLICATION|Exercise Sample Question for Competitive Examination( E Assertion - Reason Type )|2 Videos
  • PRODUCTS OF TWO VECTORS

    CHHAYA PUBLICATION|Exercise Sample Questions for Competitive Examination (Assertion - Reason Type )|2 Videos

Similar Questions

Explore conceptually related problems

If P(A) = a and P(B) = b, then show that P(A/B) le a/b .

If P(A)=(2)/(3), P(B)=(1)/(2), P(A cap B)=(1)/(6) , then find the value of P(A cap B) and P(A cup B)

If P(A)=(3)/(7), P(B)=(4)/(7) and P(A cap B)=(2)/(9) , then the value of P(A//B) is -

If P(A)=(6)/(11), P(B)=(5)/(11) and P(A cup B)=(7)/(11) ,find P(A cap B)

Given P(A) = a, P(B) = b and P(Acap B ) = c . Find the value P(A^( c) cap B^( c))

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 A and B are two events such that P(A) = (1)/(2) and P(B) = (2)/(3) , then show that (a) P(Auu B) ge (2)/(3) (b) (1)/(6) le P(A nn B) le (1)/(2) (c ) P(A nn barB) le (1)/(3) (d) (1)/(6) le P(barAnn B) le (1)/(2)

If P(A)=(2)/(3),P(B)=(1)/(2) and P(A cap B)=(1)/(6) , find the value of P(A cup B), P(A//B), P(B//A), P(A cap B^(c )), P(A^(c ) cap B^(c )) and P(A^(c ) cup B^(c ))

If P(A)=0.54, P(B)=0.69 and P(A cap B)=0.35 , then the value of P(A' cup B') is-

If P(A)=a and P(B)=b, then show that P(A/B) le(a)/(b) .

CHHAYA PUBLICATION-PROBABILITY-SAMPLE QUESTIONS FOR COMPETITIVE EXAMS
  1. If P(A) = (3)/(4) and P(B) = (5)/(8), show that,,(3)/(8)le P(A cap B )...

    Text Solution

    |

  2. If A and B are two independent events of a random experiment and P(A) ...

    Text Solution

    |

  3. If A and B are two events and P(A)= (3)/(4), P(B) = (5)/(8), then -

    Text Solution

    |

  4. If A and B are two mutually exclusive events, then-

    Text Solution

    |

  5. A coin is tossed 2n times. The probability of getting head n times, is...

    Text Solution

    |

  6. For two events A and B , the correct statement is/ are -

    Text Solution

    |

  7. If A and B are two events such that P(AcupB) = (3)/(4), P(AcapB) =(1)/...

    Text Solution

    |

  8. If A,B and C are three independent events such that P(B) = (3)/(2)P(A)...

    Text Solution

    |

  9. An ubiased die is thrown, getting an even number is 3 times the probab...

    Text Solution

    |

  10. A problem in mathematics is given to two students A and B. The probabi...

    Text Solution

    |

  11. A fair coin is tossed 8 times, then the probability of getting 3H is (...

    Text Solution

    |

  12. If the squares of a 8xx8 chessboard are painted either red or black at...

    Text Solution

    |

  13. If the squares of a 8xx8 chessboard are painted either red or black at...

    Text Solution

    |

  14. If the squares of a 8xx8 chessboard are painted either red or black at...

    Text Solution

    |

  15. Probability that husband is telling the truth is 0.8, and the probabil...

    Text Solution

    |

  16. Two dice are rolled.Let's r denotes the sum of the number appearing on...

    Text Solution

    |

  17. Two dice are rolled the probability that the sum is neither 8 nor 9 is

    Text Solution

    |

  18. Each of the following question contain two statements- Statemnet I and...

    Text Solution

    |

  19. Each of the following question contain two statements- Statemnet I and...

    Text Solution

    |