Home
Class 12
MATHS
If P(A)=2/5,\ P(B)=3/(10) and P(AnnB)=1/...

If `P(A)=2/5,\ P(B)=3/(10)` and `P(AnnB)=1/5,` then `P(A//B)P(B//A)` is equal to

A

a) `5/6`

B

b) `5/7`

C

c) `(25)/(42)`

D

d) `1/3`

Text Solution

Verified by Experts

The correct Answer is:
d) `1/3`
Given,

`P(A)=2/5,\ P(B)=3/(10)` and `P(AnnB)=1/5,`

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

`P(A//B)P(B//A)=(1/5*1/5)/(2/5*3/10)`

`P(A//B)P(B//A)=(1/25)/(3/25)`

`P(A//B)P(B//A)=1/3`

Hence, correct option is d)
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 P(A)=2/5,P(B)=3/10andP(AcapB)=1/5 then P(A'/B') cdot P(B'/A') is equal to

If P(A)=(1)/(2),P(B)=(3)/(8) and P(A nn B)=(1)/(5) , then P(A//B) is equal to :

If P(A)=2/5, P(A nn B)=3/10 then P(B|A)

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 P(A)=3//10 , P(B=2//5) and P(AuuB)=3//5 then P(A//B)+P(B//A) equals 1//4 b. 7//2 c. 5//12 d. 1//3

If P(A) = 1/4, P(B')=1/2 and P(Acup B) = 5/9 then P(A//B) =

If (A)=3/10,P(B)=2/5 and P(AcupB)=3/5 then P(B/A)+P(A/B) equals to

If A and B be two events such that P(A) =3/8,P(B)=5/8 and P(AcupB)=3/4 then P(A/B).P(A'/B) is equal to

Given P(A)=1/3 , P(B)=1/5 and P(AnnB)=1/15 find P(AuuB) .

RD SHARMA-PROBABILITY-Solved Examples And Exercises
  1. If P(A)=3/10 , P(B)=2/5 and P(AuuB)=3/5 then P(A//B)+P(B//A) equals

    Text Solution

    |

  2. Let P(A)=7/13, P(B)=9/13 and P(AnnB)=4/13 . Then P(A/B)=

    Text Solution

    |

  3. 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

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |