Home
Class 12
MATHS
Let A and E be two events with positive ...

Let A and E be two events with positive probabilites
Statement 1 : `P(E//A)ge P(A//E) P(E)`
Statement 2 : `P(A//E)ge P(A cap E)`

A

both statements are true

B

both statements are false

C

statement 1 is true, statement 2 is false

D

statement 1 is false, statement 2 is true

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • APPENDICES (REVISION EXERCISE)

    AAKASH SERIES|Exercise Random Variable|17 Videos
  • APPENDICES (REVISION EXERCISE)

    AAKASH SERIES|Exercise Statistics|18 Videos
  • APPENDICES (REVISION EXERCISE)

    AAKASH SERIES|Exercise Combinations|20 Videos
  • AREAS

    AAKASH SERIES|Exercise Exercise-3.2|21 Videos

Similar Questions

Explore conceptually related problems

Let A and B be two events such that P(A cup B) ge 3//4 and 1//8 le P(A cap B) le 3//8 Statement 1 : P(A) +P(B) ge 7//8 Statement 2 : P(A) +P(B) le 11//8

Among the following probability of an event E, P(E)=………..

IF P( E) = 3//4 what is the probability of " not E"?

An urn contains four balls bearing numbers 1,2,3 and 123 respectively . A ball is drawn at random from the urn. Let E_(p) i = 1,2,3 donote the event that digit i appears on the ball drawn statement 1 : P(E_(1)capE_(2)) = P(E_(1) cap E_(3)) = P(E_(2) cap E_(3)) = (1)/(4) Statement 2 : P_(E_(1)) = P(E_(2)) = P(E_(3)) = (1)/(2)

IF P( E ) =.05, what is the probability of 'not E'?

P (E ) +P ( E' )=…….

IF P ( E ) is the probability of an event E, then……….

In the random experiment of tossing two unbiased dice, let E be the event of getting the sum 8 and F be the event of gettiing even numbers on both the dice . Then , {:(" Statement I", " Statement II"),( P(E) = (7)/(36), P(F) = (1)/(3)) :} Which of the following is a correct statement ?

IF P( E)=0.546, what is the probability of "not E"?

If P(E) = 0.35, what is the probability of "not E"?

AAKASH SERIES-APPENDICES (REVISION EXERCISE)-Probability
  1. A doctor is to visit a patient. From the past experience, it is known...

    Text Solution

    |

  2. A person has undertaken a construction job. The probablities are 0.65 ...

    Text Solution

    |

  3. A box contain three coins, one coin is fair, one coin is two-headed, a...

    Text Solution

    |

  4. A multiple choice examination has 5 questions. Each question has thr...

    Text Solution

    |

  5. A bag contains 2 n + 1 coins. If is known that n of these coins have ...

    Text Solution

    |

  6. Given two independent events, if the probability that exactly one of t...

    Text Solution

    |

  7. If the events A and B are mutually exclusive events such that P(A) = (...

    Text Solution

    |

  8. A, B, C try to hit a target simultaneously but independently. Their ...

    Text Solution

    |

  9. If A and B are two events such that P(Acup B) = P(A cap B), then the i...

    Text Solution

    |

  10. A number x is chosen at random from the set {1,2,3,4,. . . . ,100} . D...

    Text Solution

    |

  11. Let A and E be two events with positive probabilites Statement 1 :...

    Text Solution

    |

  12. Two events A and B are such that P(B) = 0 . 55 and P(AB') = 0 . 15 . ...

    Text Solution

    |

  13. An urn contains four balls bearing numbers 1,2,3 and 123 respectively ...

    Text Solution

    |

  14. Three dice, red, blue and green in colour are rolled together. Let B ...

    Text Solution

    |

  15. Set A,B,C, A cap B, A cap B, Acap C, B cap C and A cap B cap C have...

    Text Solution

    |

  16. A man is known to speak the truth on an average 3 out of 4 times. He t...

    Text Solution

    |

  17. A class consists of 80 students, 25 of them are girls. If 10 of the s...

    Text Solution

    |

  18. If P(A) = 0 . 4 , P(B')= 0.6 and P(A cap B) = 0 . 15, then the value ...

    Text Solution

    |

  19. Let A and B be two events such that P(A cup B) ge 3//4 and 1//8 le P(...

    Text Solution

    |

  20. A baised coin with probability p,0lt p lt of heads is tossed until a h...

    Text Solution

    |