Home
Class 12
MATHS
Prove that A and B are independent event...

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

Promotional Banner

Topper's Solved these Questions

  • PROBABILITY

    AAKASH SERIES|Exercise Additional Solved Example|48 Videos
  • PROBABILITY

    AAKASH SERIES|Exercise Exercise 2.1(very short answer)|15 Videos
  • PROBABILITY

    AAKASH SERIES|Exercise Practise Exercise|165 Videos
  • PERMUTATIONS & COMBINATIONS

    AAKASH SERIES|Exercise PRACTICE EXERCISE|163 Videos
  • QUADRATIC EQUATIONS & EXPRESSIONS

    AAKASH SERIES|Exercise PRACTICE EXERCISE|88 Videos

Similar Questions

Explore conceptually related problems

Suppose that A and B are two independent events such that P(A nn B) =3/(25) and P(A)=8/(25) Then P(B) =

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

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) =

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

If A and B are two events of a sample space then P(A)-P(B)=

Suppose A and B are independent events with P (A)= 0.6 P (B) = 0.7. Compute P ( A^(c ) nn B ^(c ))

If A,B are two events, then show that P((A)/(B))P(B)+P((A)/(B^(C)))P(B^(C))=P(A).

If A and B are two independent events, and P(A)=1//4 , P(B)=1//3 then find P(A-B)uu(B-A)) . i.e., propbability of occurrence of exactly one of the events A and B.

Suppose A and B are independent events with P (A)= 0.6 P (B) = 0.7. Compute P (A nn B)

AAKASH SERIES-PROBABILITY-Solved Example
  1. Suppose A and B are independent events with P(A)=0.6, P(B)=0.7 then co...

    Text Solution

    |

  2. A pair of dice are rolled. What is the probability that neither die sh...

    Text Solution

    |

  3. An urn contains 12 red balls and 12 green balls. Suppose two balls are...

    Text Solution

    |

  4. Suppose there are 12 boys and 4 girls in a class. If we choose three c...

    Text Solution

    |

  5. Find the probability of drawing 2 red balls in succession from a bag c...

    Text Solution

    |

  6. If A,B,C are independent events, shows that AcupBandC are also a indep...

    Text Solution

    |

  7. If A and B are two independent events, and P(A)=1//4, P(B)=1//3 then f...

    Text Solution

    |

  8. The probability that A hits a target is 1//4 and the probability that...

    Text Solution

    |

  9. In a shooting test the probability of A,B,C hitting the targets are (1...

    Text Solution

    |

  10. An urn contains 10 white balls and 5 black balls. Two players Q and R ...

    Text Solution

    |

  11. Bag B(1) contains 4 white and 2 black balls. Bag B(2) contains 3 whi...

    Text Solution

    |

  12. Bag A contains 4 white and 7 black balls. Bag B contains 5 white and 6...

    Text Solution

    |

  13. Bag A contains 4 white and 3 black balls. Bag B contains 3 white and 2...

    Text Solution

    |

  14. Three boxes numbered I,II,III contain the balls as follows. One b...

    Text Solution

    |

  15. A survey shows that in a certain village 2 out of every 100 men and 1 ...

    Text Solution

    |

  16. A bag contains 5 balls the colours of which are not known. Two balls a...

    Text Solution

    |

  17. A man is known to speack the truth 2 out of 3 times . He throws a die ...

    Text Solution

    |

  18. A letter is known to have come from either 'MAHARASTRA or MADRAS on th...

    Text Solution

    |

  19. Suppose that an unbaised pair of dice is rolled. Let A denote the even...

    Text Solution

    |

  20. Prove that A and B are independent events if and only if P((A)/(B))=P(...

    Text Solution

    |