Home
Class 12
MATHS
If A,B,C are three independent events of...

If A,B,C are three independent events of an experiment. Such that `P(AcapB^(C)capC^(C))=(1)/(4)`
`P(A^(C)capBcapC^(C))=(1)/(8),P(A^(C)capB^(C)capC^(C))=(1)/(4)`
then find P(A),P(B)and P( C).

Promotional Banner

Topper's Solved these Questions

  • MOST IMPORTANT QUESTIONS

    VGS PUBLICATION-BRILLIANT|Exercise PROBABILITY (LONG ANSWER TYPE QUESTIONS)|6 Videos

  • MOST IMPORTANT QUESTIONS

    VGS PUBLICATION-BRILLIANT|Exercise RANDOM VARIABLES & PROBABILITY DISTRIBUTIONS (VERY SHORT ANSWER TYPE QUESTIONS)|6 Videos

  • MOST IMPORTANT QUESTIONS

    VGS PUBLICATION-BRILLIANT|Exercise MEASURES OF DISPERSION (LONG ANSWER TYPE QUESTIONS)|7 Videos

  • MODEL PAPER 9

    VGS PUBLICATION-BRILLIANT|Exercise SECTION-C (III. LONG ANSWER TYPE QUESTIONS) |7 Videos

Similar Questions

Explore conceptually related problems

If A and B are two independent events of a random experiment such that P(A capB) = (1)/(6) and P(overlineA cap overline B) = (1)/(3) , then P(A)=

If A,B,C are three events in a random experiment, Prove the following. P(A-B)=P(A)-P(AcapB)

If A,B,C are mutually exclusive and exhaustive events of a random experiment such that P(B) = (3)/(2)P(A) and P(C) = (1)/(2)P(B) then P(A cup C) =

If A,B,C are three events in a random experiment, Prove the following. P((A)/(A))=1

For any two events A,B shows that P(AcapB)-P(A)P(B)=P(A^(C))P(B)-P(A^(C)capB) =P(A)P(B^(C))-P(AcapB^(C))

IF A,B,C are three mutually exclusive events of a trial such that P(A)=2P(B)=3P( C) then P(A)=…….

For any two events A and B, shows that P(A^(C)capB^(C))=1" +"P(AcapB)-P(A)-P(B).

Prove that A and B are independent events if and only if P((A)/(B))=P((A)/(B^(C)))

If A and B are two independent events such that P(B) =(2)/(7) and P(A uuB^(C )) = 0.8, " then " p(A uuB) =

VGS PUBLICATION-BRILLIANT-MOST IMPORTANT QUESTIONS-PROBABILITY (VERY SHORT ANSWER TYPE QUESTIONS)
  1. Suppose A and B are independent events with P (A)= 0.6 P (B) = 0.7. Co...

    Text Solution

    |

  2. Suppose A and B are independent events with P (A) = 0.6 & P (B) = 0.7 ...

    Text Solution

    |

  3. Suppose A and B are independent events with P (A) = 0.6 P (B) = 0.7. C...

    Text Solution

    |

  4. Suppose A and B are independent events with P (A)= 0.6 P (B) = 0.7. Co...

    Text Solution

    |

  5. Find the probability that a non-leap year contains i) 53 sundays ii) 5...

    Text Solution

    |

  6. If A, B are independent events with P (A) =0.2, P (B) = 0.5 Find P ...

    Text Solution

    |

  7. If A, B are independent events with P (A) =0.2, P (B) = 0.5 Find P ...

    Text Solution

    |

  8. If A, B are independent events with P (A) =0.2, P (B) = 0.5 Find P(...

    Text Solution

    |

  9. If A, B are independent events with P (A) =0.2, P (B) = 0.5 Find P ...

    Text Solution

    |

  10. If A,B, are two events with P(AcupB)=0.65, and P(AcapB)=0.15, then fi...

    Text Solution

    |

  11. Suppose A and B are events with P(A)=0.5, P(B)=0.4 and P(AcapB)=0.3. F...

    Text Solution

    |

  12. A problem in calculus is given to two students, A and B whose chances...

    Text Solution

    |

  13. A speaks truth in 75% of the cases and B in 80% of the cases. Then the...

    Text Solution

    |

  14. If one card is drawn at random from a pack of cards then show that eve...

    Text Solution

    |

  15. The probability for a contractor to get a road contract is (2)/(3) and...

    Text Solution

    |

  16. If A,B,C are three independent events of an experiment. Such that P(Ac...

    Text Solution

    |

  17. State and prove multiplication theorem or probability.

    Text Solution

    |