Home
Class 12
MATHS
If A and B are any two events such that ...

If `A` and `B` are any two events such that `P(A)=2/5` and `P(AnnB)=3/20` then the conditional probability `P(A|(A'uuB'))` where `A'` denotes the complement of `A`is equal to

A

`11/20`

B

`5/17`

C

`8/17`

D

`1/4`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • PROBABILITY -2

    DISHA PUBLICATION|Exercise EXERCISE - 1 : CONCEPT BUILDER|60 Videos

  • PROBABILITY -2

    DISHA PUBLICATION|Exercise EXERCISE - 2 : CONCEPT APPLICATOR|30 Videos

  • PRINCIPLE OF MATHEMATICAL INDUCTION

    DISHA PUBLICATION|Exercise Exercise-2 Concept Applicator|20 Videos

  • PROBABILITY-1

    DISHA PUBLICATION|Exercise EXERCISE-1 : CONCEPT BUILDER|180 Videos

Similar Questions

Explore conceptually related problems

If A and B are any two events such that P(A)=(2)/(5) and P(A nn B)=(3)/(20) then the conditional probability P(A|(A'uu B')) where A' denotes the complement of A is equal to

If A and B are two events such that P(A)=(4)/(7), P(AnnB)=(3)/(28) and the conditional probability P((A)/(A^(c )uuB^(c ))) (where A^(c ) denotes the compliment of the event A) is equal to lambda , then the value of (26)/(lambda) is equal to

If A and B are any two events such that P(A)+P(B)-P( A "and" B)=P(A) , then:

If A and B are any two events such that P(A) + P(B) - P (A and B) = P(A) , then

If A and B are two events such that P(AnnB)=0. 32\ a n d\ P(B)=. 5 , thenP(A//B)

For any two evens A and B P(AuuB) =

If A and B are any two events having P(AnnB)=1/2 an P(A)=2/3 , then the probability of AnnbarB is :

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

DISHA PUBLICATION-PROBABILITY -2-EXERCISE - 2 : CONCEPT APPLICATOR
  1. If A and B are any two events such that P(A)=2/5 and P(AnnB)=3/20 then...

    Text Solution

    |

  2. 3 friends A, B and C play the game "Pahle Hum Pahle Tum" in which they...

    Text Solution

    |

  3. Two events E and F are independent. If P(E )=0.3 and P(EcupF)=0.5 then...

    Text Solution

    |

  4. The probabilities of four cricketers A, B, C and D scoring more than 5...

    Text Solution

    |

  5. consider an event E=E(1)capE(2)capE(3) find the value of P(E) if P(E(1...

    Text Solution

    |

  6. A set A has n elements. A subset P of A is selected at random. Returni...

    Text Solution

    |

  7. Rahul has to write a project, Probability that he will get a project c...

    Text Solution

    |

  8. Assume that each born child is equally likely to be a boy or a girl...

    Text Solution

    |

  9. For any two independent events E1 and E2 P{(E1uuE2)nn(bar(E1)nnbar(E2)...

    Text Solution

    |

  10. Mr. A randomly picks 3 distinct numbers from the set {1, 2, 3, 4, 5, 6...

    Text Solution

    |

  11. If P(B)=3/5,P(A//B)=1/2andP(AcupB)=4/5, then P(AcupB)'+P(A'cupB) is eq...

    Text Solution

    |

  12. The probability of India winning a test match against West Indies i...

    Text Solution

    |

  13. A coin is tossed three times in succession. If E is the event that ...

    Text Solution

    |

  14. A die marked 1, 2, 3 in red and 4, 5, 6 in green is tossed. Let A be ...

    Text Solution

    |

  15. For two events A and B, if P(A)P((A)/(B))=(1)/(4) and P((B)/(A))=(1)/(...

    Text Solution

    |

  16. If E and F are independent events such that 0ltP(E)lt1 and 0ltP(F)lt1,...

    Text Solution

    |

  17. Two aeroplanes I and II bomb a target in succession. The probabilities...

    Text Solution

    |

  18. If A and B play a series of games in each of which probability that A ...

    Text Solution

    |

  19. In a competitive examination, an examinee either guesses or copies or ...

    Text Solution

    |

  20. Suppose X is a random variable which takes values 0,1,2,3,.... and P(X...

    Text Solution

    |

  21. Die A has 4 red and 2 white faces, whereas die B has 2 red and 4 wh...

    Text Solution

    |