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)=4/5`, and `P(AnnB)=7/(10)`, then `P(B//A)=`

A

a) `1/10`

B

b) `1/8`

C

c) `7/8`

D

d) `17/20`

Text Solution

Verified by Experts

The correct Answer is:
c) `7/8`

Given,

`P(A)=4/5`, and `P(AnnB)=7/(10)`

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

`P(B//A)=(7/10)/(4/5)`

`P(B//A)=(7/8)`

Hence, correct option is c)
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) = 3/4 and P(B) = 5/8, then

If A and B are two events such that P(A)=3//4 " and " P(B)=5//8 , 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(B) = 2/5 and P(Acap B) = 1/5," then : " P(A cup B')=

If A and B are two events such that P(AnnB)=0.3 and P(A'nnB')=0.6 , then the value of P(AnnB' or A'nnB) is equal to

If A and B are the two events such that P(A)=3/5, P(B)=7/10 and P(A uu B)=9/10 , then find (i) P(A nn B) (ii) P(A/B) (iii) P(B/A)

RD SHARMA-PROBABILITY-Solved Examples And Exercises
  1. The probability that in a year of 22nd century chosen at random, there...

    Text Solution

    |

  2. From a set of 100 cards numbered 1 to 100, one card is drawn at random...

    Text Solution

    |

  3. If A and B are two events such that P(A)=4/5, and P(AnnB)=7/(10), then...

    Text Solution

    |

  4. If A and B are two events associated to a random experiment such that ...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  7. 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

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |