Home
Class 12
MATHS
If A,B are two events such that P(A)=0.3...

If A,B are two events such that P(A)=0.3, P(B)=0.4,P(AcupB)=0.6 Find
`P(A | B^c)

Text Solution

Verified by Experts

`P(A | B^c)=(P(A cap B^c))/(P(B^c))=(P(A-B))/(1-P(B))`
`P(A)-(P(AcapB))/(1-0.4)=(0.3-0.1)/0.6=0.2/0.6=2/6=1/3`
Promotional Banner

Topper's Solved these Questions

  • PRINCIPLES OF MATHEMATICAL INDUCTION

    MBD PUBLICATION|Exercise QUESTION BANK|16 Videos
  • RELATION AND FUNCTION

    MBD PUBLICATION|Exercise QUESTION BANK|103 Videos

Similar Questions

Explore conceptually related problems

If A,B are two events such that P(A)=0.3, P(B)=0.4,P(AcupB)=0.6 Find P(B | A^c)

If A,B are two events such that P(A)=0.3, P(B)=0.4,P(AcupB)=0.6 Find P(B | A)

If A and B are two events such that P(A) = 0.3 , P(B) = 0.4 , P(A uu B)= 0.6 . Find P(A/B) .

If A, B are events such that P(A)=0.6, P(B)=0.4 and P(AcupB)= 0.2 then find P(A//B)

If A, B are events such that P(A)=0.6, P(B)=0.4 and P(AcupB)= 0.2 then find P(B//A)

If A, B are events such that P(A)=0.6, P(B)=0.4 and P(AcupB)= 0.2 then find P(A//B^(c ))

MBD PUBLICATION-PROBABILITY-QUESTION BANK
  1. If A,B are two events such that P(A)=0.3, P(B)=0.4,P(AcupB)=0.6 Find ...

    Text Solution

    |

  2. If A,B are two events such that P(A)=0.3, P(B)=0.4,P(AcupB)=0.6 Find ...

    Text Solution

    |

  3. If A,B are two events such that P(A)=0.3, P(B)=0.4,P(AcupB)=0.6 Find ...

    Text Solution

    |

  4. If A,B are two events such that P(A)=0.3, P(B)=0.4,P(AcupB)=0.6 Find ...

    Text Solution

    |

  5. If A , B are event such that P(A)=0.6, P(B)=0.4 and P(A cap B)=0.2, th...

    Text Solution

    |

  6. If A , B are event such that P(A)=0.6, P(B)=0.4 and P(A cap B)=0.2, th...

    Text Solution

    |

  7. If A , B are event such that P(A)=0.6, P(B)=0.4 and P(A cap B)=0.2, th...

    Text Solution

    |

  8. If A , B are event such that P(A)=0.6, P(B)=0.4 and P(A cap B)=0.2, th...

    Text Solution

    |

  9. If A and B are independent events,show that A^c and B^c are independ...

    Text Solution

    |

  10. If A and B are independent events,show that A and B^c are independen...

    Text Solution

    |

  11. If A and B are independent events,show that A^c and B are independen...

    Text Solution

    |

  12. Two different digits are selected at random from the digits 1 through ...

    Text Solution

    |

  13. Two different digits are selected at random from the digits 1 through ...

    Text Solution

    |

  14. Two different digits are selected at random from the digits 1 through ...

    Text Solution

    |

  15. Two different digits are selected at random from the digits 1 through ...

    Text Solution

    |

  16. If P (A) = 0.4,P (B | A)= 0.3 and P (B^c | A^c)=0.2. find P (A | B )

    Text Solution

    |

  17. If P (A) = 0.4,P (B | A)= 0.3 and P (B^c | A^c)=0.2. find P ( B | A^...

    Text Solution

    |

  18. If P (A) = 0.4,P (B | A)= 0.3 and P (B^c | A^c)=0.2. find P(B)

    Text Solution

    |

  19. If P (A) = 0.4,P (B | A)= 0.3 and P (B^c | A^c)=0.2. find P(A^c)

    Text Solution

    |

  20. If P (A) = 0.4,P (B | A)= 0.3 and P (B^c | A^c)=0.2. find P(A cup B)

    Text Solution

    |