Home
Class 12
MATHS
Aa n dB are two independent events. C is...

`Aa n dB` are two independent events. `C` is event in which exactly one of `AorB` occurs. Prove that `P(C)geqP(AuuB)P(A'nnB')dot`

Promotional Banner

Topper's Solved these Questions

  • PRINCIPLE OF MATHEMATICAL INDUCTION

    CENGAGE PUBLICATION|Exercise Sovled Examples|22 Videos
  • PROBABILITY I

    CENGAGE PUBLICATION|Exercise JEE Advanced|7 Videos

Similar Questions

Explore conceptually related problems

If Aa n dB are two independent events such that P(A)=1//2 a n d P(B)=1//5, then

If A and B are independent events, then P(A/B^C) = …………..

A and B are two independent events.if P(A)=3/5, P(AcapB)=4/9 the value orP(B) is

If A and B are two events, then probability that exactly one of them occurs is -

If A and B are two independent events, prove that P(AuuB).P(A'nnB')<=P(C) , where C is an event defined that exactly one of A and B occurs.

If A ,B ,C be three mutually independent events, then Aa n dBuuC are also independent events. Statement 2: Two events Aa n dB are independent if and only if P(AnnB)=P(A)P(B)dot

If A and B are two events, the probability that exactly one of them occurs is given by a. P(A)+P(B)-2P(AnnB) b. P(Ann B )+P( AnnB') c. P(AuuB)-P(AnnB) d. P( A' )+P( B' )-2P( A' nn B' )

If A and B are two independent events, prove that A^C and B are also independent events.

A and B are two independent event. It P(A) = 1/2 and P(A cup B) =2/3,find the value of P(B).

A and B are two independent events with P(A) = 2/5 and P(B) = 1/3 , evaluate P(AuuB) .

CENGAGE PUBLICATION-PROBABILITY-All Questions
  1. If three distinct number are chosen randomly from the first 100 natura...

    Text Solution

    |

  2. If P(B)=3//4, P(AnnBnnbarC)=1//3 and P( bar A nnBnn barC )=1//3, t h ...

    Text Solution

    |

  3. Aa n dB are two independent events. C is event in which exactly one of...

    Text Solution

    |

  4. Let Aa n dB be two event such that P(AuuB)geq3//4 and 1//8lt=P(AnnB)lt...

    Text Solution

    |

  5. There are two red, two blue, two white, and certain number (greater th...

    Text Solution

    |

  6. A drawer contains a mixture of red socks and blue socks, at most 17 in...

    Text Solution

    |

  7. If the probability that the product of the outcomes of three rolls of ...

    Text Solution

    |

  8. If two loaded dice each have the property that 2 or 4 is three times a...

    Text Solution

    |

  9. An urn contains 3 red balls and n white balls. Mr. A draws two balls t...

    Text Solution

    |

  10. Suppose Aa n dB are two events with P(A)=0. 5a n dP(AuuB)=0. 8. Let P(...

    Text Solution

    |

  11. choose the correct answer from the given alternatives : 2.if A and B a...

    Text Solution

    |

  12. The probability of getting 9 dots with two unbiased dice is

    Text Solution

    |

  13. Match column I and column II

    Text Solution

    |

  14. Find the sum of the five digit numbers formed by the digits 2, 3, 4, 5...

    Text Solution

    |

  15. Three events A,B and C are mutually exclusive and exhaustive , if P(A)...

    Text Solution

    |

  16. Let p,q be chosen one by one from the set {1, sqrt(2),sqrt(3), 2, e, p...

    Text Solution

    |

  17. Find the probability that a randomly chosen three-digit number has ...

    Text Solution

    |

  18. A bag contains 5 white and 3 black balls. Four balls are successively ...

    Text Solution

    |

  19. A bag has 10 balls. Six ball are drawn in an attempt and replaced. The...

    Text Solution

    |

  20. If three square are selected at random from chess board. then the prob...

    Text Solution

    |