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

If `A` and `B` are two events such that `P(A)=1/2, P(B)=1/3,\ P(A//B)=1/4,` then `P(AnnB)` equals

A

a) `1/(12)`

B

b) `3/4`

C

c) `1/4`

D

d) `3/(16)`

Text Solution

Verified by Experts

The correct Answer is:
a) `1/(12)`
Given,

`P(A)=1/2, P(B)=1/3,\ P(A//B)=1/4`

`P(A//B)=(P(AnnB))/(P(B))`

`1/4*1/3=P(AnnB)`

`P(AnnB)=1/12`

Hence, correct option is a)
Promotional Banner

Topper's Solved these Questions

  • MEAN VALUE THEOREMS

    RD SHARMA|Exercise Solved Examples And Exercises|110 Videos

  • RELATIONS

    RD SHARMA|Exercise Solved Examples And Exercises|197 Videos

Similar Questions

Explore conceptually related problems

If A and B are two events such that P(A)= 1/2,P(B)=1/3and P(A//B)=1/4

If A and B are two events such that P(A)=1/4, P(B)=1/2, P(A uu B)=5/8 then P(A nn B)=

Let A and B be two events such that P(A|B)=1/2 , P(B|A)=1/3, P(A nn B) =1/6 , then

Suppose A and B are two events such that P(A)=1/4, P(B)=1/3 and P(AnnB)=1/5 , then 4P(A'|B') is equal to ____

If A and B are two events such that P(B)=3/5,P(A//B)=1/2 and P(AcupB)=4/5 , then P(A) equals to

If A and B are two events such that P((A uu B)')= 1/6 , P(A nn B)=1/4 and P(A')= 1/4 , then P(A) and P(B) are

RD SHARMA-PROBABILITY-Solved Examples And Exercises
  1. Let P(A)=7/13, P(B)=9/13 and P(AnnB)=4/13 . Then P(A/B)=

    Text Solution

    |

  2. If P(A)=2/5,\ P(B)=3/(10) and P(AnnB)=1/5, then P(A//B)P(B//A) is equa...

    Text Solution

    |

  3. If A and B are two events such that P(A)=1/2, P(B)=1/3,\ P(A//B)=1/4, ...

    Text Solution

    |

  4. Let A and B be two events such tat P(A)=3/8,\ P(B)=5/8, P(AuuB)=3/4 an...

    Text Solution

    |

  5. If P(B)=3/5, P(A//B)=1/2 and P(AuuB)=4/5, then P(B//A)=

    Text Solution

    |

  6. If A and B are two events such that P(A)=0.4 ,\ P(B)=0.3 and P(AuuB)=0...

    Text Solution

    |

  7. If the events A and B are independent then P(AnnB) is equal to

    Text Solution

    |

  8. If A and B are two independent events with P(A)=3/5 and P(B)=4/9, then...

    Text Solution

    |

  9. If A and B are two independent events such that P(A)=0.3 ,\ P(AuuB)=0....

    Text Solution

    |

  10. A flash light has 8 batteries out of which 3 are dead. If two batterie...

    Text Solution

    |

  11. A bag contains 5 red and 3 blue balls. If 3 balls are drawn at random ...

    Text Solution

    |

  12. A bag containing 5 red and 3 blue balls. If 3 balls are drawn at rando...

    Text Solution

    |

  13. In a college 3% students fail in Physics, 25% fail in Mathematics and ...

    Text Solution

    |

  14. Three persons A , B and C fire target is turn starting with A. their ...

    Text Solution

    |

  15. A and B are two students. Their chances of solving a problem correctly...

    Text Solution

    |

  16. Two cards are drawn from a well shuffled deck of 52 playing cards with...

    Text Solution

    |

  17. A box contains 3 orange balls, 3 green balls and 2 blue balls. Three ...

    Text Solution

    |

  18. Two dice are thrown. If it is known that the sum of the numbers on the...

    Text Solution

    |

  19. If A and B are two events such that P(A//B)=p , P(A)=p , P(B)=1/3 and ...

    Text Solution

    |

  20. A die is thrown and a card is selected at random from a deck of 52 p...

    Text Solution

    |