Home
Class 12
MATHS
Let P(A)=7/13, P(B)=9/13 and P(AnnB)=4/1...

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

A

a) `5/9`

B

b) `4/9`

C

c)`4/13`

D

d) `6/13`

Text Solution

Verified by Experts

The correct Answer is:
b) `4/9`
Given, `P(A)=7/13,` `P(B)=9/13`

and `P(AnnB)=4/13`

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

`P(A/B)=(4/13)/(9/13)`

`P(A/B)=(4)/(9)`

Hence, correct option is b)
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

For two events A and B P(A)=7/13, P(B)=9/13 and (AnnB)=4/13 . Find the value of P(A//B) .

If P(A)=7/13,P(B)=9/13 and P(AcapB)=4/13 , then P(A'/B) is equal to

If P(A)=7/(13),\ P(B)=9/(13)a n d\ P(AnnB)=4/(13),fin d\ P(A//B)dot

If P(A)(7)/(13),P(B)=(9)/(13) and P(A nn B)=(4)/(13), find P((A)/(B))

If P (A) = 7/3, P (B)= 9/13, "and" P(A cap B) = 4/13 , then find P (A/B)

If P(E)=(7)/(13),P(F)=(9)/(13) and P(E nn F)=(4)/(13) , then P(E//F) __________.

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)=2/5,\ P(B)=3/(10)a n d\ P(AnnB)=1/5, then P( A // B )P( B // A ) is equal to 5/6 b. 5/7 c. (25)/(42) d. 1

Let P(A) = (7)/(13) , P(B) = (9)/(13) and P (A cap B) = (4)/(13) . Then P (A | B) is equal to

If P(A)=(7)/(13)P(B)=(9)/(13) and P(A nn B)=(4)/(13) ,evaluate quad P(A|B)

RD SHARMA-PROBABILITY-Solved Examples And Exercises
  1. If A and B are two events associated to a random experiment such that ...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  4. 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

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |