Home
Class 11
MATHS
It is given that the events A and B are ...

It is given that the events A and B are such that `P(A) = 1/4, P (A//B) = 1/2 and P(B//A) = 2/3`. Then P(B) is

A

`(1)/(6)`

B

`(1)/(3)`

C

`(2)/(3)`

D

`(1)/(2)`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • INTRODUCTION TO PROBABILITY THEORY

    PREMIERS PUBLISHERS|Exercise PROBLEMS FOR PRACTICE (ANSWER THE FOLLOWING QUESTIONS)|20 Videos

  • INTRODUCTION TO PROBABILITY THEORY

    PREMIERS PUBLISHERS|Exercise PROBLEMS FOR PRACTICE (Choose the correct option for the following)|39 Videos

  • INTRODUCTION TO PROBABILITY THEORY

    PREMIERS PUBLISHERS|Exercise SOLUTION TO EXERCISE 12.4|5 Videos

  • INTEGRAL CALCULUS

    PREMIERS PUBLISHERS|Exercise PROBLEM FOR PRACTICE (MCQ)|42 Videos

  • MATRICES AND DETERMINANTS

    PREMIERS PUBLISHERS|Exercise PROBLEMS FOR PRACTICE .(II CHOOSE THE CORRECT OPTION FROM THE FOLLOWING)|46 Videos

Similar Questions

Explore conceptually related problems

It is given that the events A and B are such that P(A)=(1)/(4),P(A//B)=(1)/(2) and P(B//A)=(1)/(3) then P(B)= ………..

Given that the events A and B are such that P(A) =(1)/(2) , P(AuuB) = (3)/(5) and P(B) = p. Find p if they are (i) mutually exclusive, (ii) independent.

If A and B are two events such that P(A) = 0.4, P(B) = 0.8 and P(B//A) = 0.6 , then P(barA nn B) is

If two events A and B are such that P (barA) = 3/10 and P(A nn barB) = 1/2 , then P(A nn B) is

Given that the events A and B are such 3 that P(A)= (1)/(2), P(AuuB)= (3)/(5) and P(B)= p Find p if they are (i) mutually exclusive, (ii) independent.

If two events A and B such that P(A')=0.3 , P(B)=0.5 and P(AnnB)=0.3 , then P(B//AuuB') is

If A and B are two events such that P(A) = 4/5 and P(A nn B) = 7/10 then P(B/A) =

PREMIERS PUBLISHERS-INTRODUCTION TO PROBABILITY THEORY-SOLUTION TO EXERCISE 12.5
  1. Two items are chosen from a lot containing twelve items of which four ...

    Text Solution

    |

  2. A man has 3 fifty rupees notes, 4 hundred rupees notes and 6 five hund...

    Text Solution

    |

  3. A letter is taken at random from the letters of the word 'ASSISTANT' a...

    Text Solution

    |

  4. A matrix is chosen at random from a set of all matrices of order 2 , w...

    Text Solution

    |

  5. A bag contains 5 white and 3 black balls. Five balls are drawn success...

    Text Solution

    |

  6. If A and B are two events such that A sub Band P(B) ne 0, then which o...

    Text Solution

    |

  7. A bag contains 6 green, 2 white, and 7 black balls. If two balls are ...

    Text Solution

    |

  8. If X and Y be two events such that P(X//Y) = 1/2, P(Y//X) = 1/3 and P(...

    Text Solution

    |

  9. An urn contains 5 red and 5 black balls. A ball is drawn at random, it...

    Text Solution

    |

  10. A number x is chosen at random from the first 100 natural numbers. Let...

    Text Solution

    |

  11. If two events A and B are independent such that P(A) = 0.35 and P(A uu...

    Text Solution

    |

  12. If two events A and B are such that P (barA) = 3/10 and P(A nn barB) =...

    Text Solution

    |

  13. If A and B are two events such that P(A) = 0.4, P(B) = 0.8 and P(B//A)...

    Text Solution

    |

  14. There are three events A, B and C of which one and only one can happpe...

    Text Solution

    |

  15. If a and b are chosen randomly from the set {1,2,3,4} with replacement...

    Text Solution

    |

  16. It is given that the events A and B are such that P(A) = 1/4, P (A//B)...

    Text Solution

    |

  17. In a certain college 4% of the boys and 1% or the girls are taller tha...

    Text Solution

    |

  18. Ten coins are tossed. The probability of getting at least 8 heads is

    Text Solution

    |

  19. The probability of two events A and B are 0.3 and 0.6 respectively. Th...

    Text Solution

    |

  20. If m is a number such that m le 5, then the probability that quadratic...

    Text Solution

    |