Home
Class 11
MATHS
If A an B are two events such that P(A) ...

If A an B are two events such that `P(A) = 3/4` and `P(B^c) = 3/8`. then prove that `3/8leP(A cap B)le5/8`.

Promotional Banner

Topper's Solved these Questions

  • Model Test Set - 4

    UNITED BOOK HOUSE|Exercise Exercise|42 Videos

  • Model Test Set - 6

    UNITED BOOK HOUSE|Exercise Exercise|41 Videos

Similar Questions

Explore conceptually related problems

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

If A and B are two events such that P(A) = 3/4 and P(B) = 5/8, then (correct options may be more than one)

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 A, B are two events such that P(A cup B) ge 3/4 "and" 1/8 le P(A cap B) le 3/8

If Aa n dB are two events such that P(A)=0. 6 and P(B)=0. 8 , if the greatest value that P(A//B) can have is p , then the value of 8p is ________.

If A and B are two events such that P(A)=0.6 and P(B)=0.8, if the greatest value tht P(A//B) can have is p, then the value of 8p is______.

If A and B are any two events such that P(A) = 2/5 "and" P(A cap B) = 3/20 then the conditional probability P(A //A' cup B') where A denotes the complement of A is equal to

A and B are two independent events such that P(AuuB) = 0.8 and P(A) = 0.3. P(B) is……

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).

A and B are two independent events such that P(AuuB')=0.8 , and P(A)=0.3 .Then P(B) is

UNITED BOOK HOUSE-Model Test Set - 5-Exercise
  1. What are different measures of skewness.

    Text Solution

    |

  2. A, B and C are three mutually exclusive and exhaustive events associat...

    Text Solution

    |

  3. The probability that a student passes a physics test is 2/3 and the th...

    Text Solution

    |

  4. Show that if events A and B are independent, then so are A^c and B^c.

    Text Solution

    |

  5. What is the difference between A^@ and AU?

    Text Solution

    |

  6. Write a short note on histogram of a frequency distribution.

    Text Solution

    |

  7. If the relation between two variables x and y is 2x + 3y = 7 and media...

    Text Solution

    |

  8. Suppose 2x - 3y = 5 is the relation between the varibles x and y. If t...

    Text Solution

    |

  9. Derive Largrange’s interpolation formula for n = 3.

    Text Solution

    |

  10. Prove that /\^2(ab^(ex))=(b^c-1)^2ab^(ex).

    Text Solution

    |

  11. Given that x. y, z are unequal positive numbers show that 1/x+1/y+1/z ...

    Text Solution

    |

  12. Prove that log5^7 < sqrt2.

    Text Solution

    |

  13. If A an B are two events such that P(A) = 3/4 and P(B^c) = 3/8. then p...

    Text Solution

    |

  14. An investment consultant predicts that the odds against the price of a...

    Text Solution

    |

  15. A and B alternatively toss a fair coin. The first one to throw a head ...

    Text Solution

    |

  16. What do you mean by purchasing power of money?

    Text Solution

    |

  17. In a frequency table, the upper boundary of each class-interval has a ...

    Text Solution

    |

  18. State and Prove the theorem of compound probability. If events are ind...

    Text Solution

    |

  19. Three groups of children contain respectively 3 girls and 1 boy, 2 gir...

    Text Solution

    |

  20. Write down uses of index numbers.

    Text Solution

    |