Home
Class 12
MATHS
Let A ans B be any two events with pos...

Let `A ans B` be any two events with positive probabilities Statement I `P(E / A)geqP(A / E)P(E)`Statement I `P(E / A)geqP(AnnE)`

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

  • PROBABILITY

    MCGROW HILL PUBLICATION|Exercise Previous Years B-Architecture Entrance Examination Papers|21 Videos
  • PROBABILITY

    MCGROW HILL PUBLICATION|Exercise Exercises (Numerical Answer)|28 Videos
  • PERMUTATIONS AND COMBINATIONS

    MCGROW HILL PUBLICATION|Exercise Questions from Previous Years. B-Architecture Entrance Examination Papers |17 Videos
  • PROGRESSIONS

    MCGROW HILL PUBLICATION|Exercise Questions from Previous Years. B-Architecture Entrance Examination Papers|25 Videos

Similar Questions

Explore conceptually related problems

Let AansB be any two events with positive probabilities Statement I P((E)/(A))>=P((A)/(E))P(E) Statement I P((E)/(A))>=P(A nn E)

If P (E) denotes the probability of an event E, then:

Let Aa n dB b e two independent events. Statement 1: If (A)=0. 3a n dP(Auu barB )=0. 8 ,t h e nP(B) is 2/7. Statement 2: P(E)=1-P(E),w h e r eE is any event.

The probability of an event E is a number P (E ) such that :

For any event E ,which of the following is correct P(E)>=0 P(E) 0 P(E)<0

Each question has four choices a, b, c, and d, out of which only one is correct. Each question contains STATEMENT 1 and STATEMENT 2. Both the statements are TRUE and statement 2 is the correct explanation of Statement 1. Both the statements are TRUE but Statement 2 is NOT the correct explanation of Statement 1. Statement 1 is TRUE and Statement 2 is FALSE. Statement 1 is FALSE and Statement 2 is TRUE. Statement 1: For events Aa n dB of sample space if P(A/B)geqP(A) , then P(B/A)geqP(B)dot Statement 2: P(A/B)=(P(AnnB))/(P(B)) , (P(B)!=0)dot

Let Aa n dB be two independent events. Statement 1: If P(A)=0. 4a n dP(Auu barB )=0. 9 ,t h e nP(B)i s1//6. Statement 2: If Aa n dB are independent, then P(AnnB)=P(A)P(B)dot.

Let A and B be two independent events. Statement-1: If P(A)=0.3 and P(A cup overline(B))=0.8 , then P(B)=(2)/(7) Statement-2: For any event E, P(overline(E ))=1-P(E ) .

If P(E) denotes the probability of an event E, then E is called certain event if :

An urn contains four balls bearing numbers 1, 2, 3 and 123 respectively. A ball is drawn at random from the urn. Let E_i , i = 1, 2, 3 donote the event that digit i appears on the ball drawn. Statement -1: P(E_1 nn E_2) =P(E_1 nn E_3) = P (E_2 nn E_3)=1/4 Statement-2: P(E_1)=P(E_2)=P(E_3)=1/2

MCGROW HILL PUBLICATION-PROBABILITY-Previous Years AIEEE/JEE Main Papers
  1. If X has a binomial distribution, B(n, p) with parameters n and p such...

    Text Solution

    |

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

    Text Solution

    |

  3. Let A ans B be any two events with positive probabilities Statement ...

    Text Solution

    |

  4. A set 'S' contains 7 elements. A non-empty subset A of S and an elem...

    Text Solution

    |

  5. Let x be set containing 10 elements and p(x) be its power set. If A an...

    Text Solution

    |

  6. If the lengths of the sides of a triangle are decided by the three thr...

    Text Solution

    |

  7. If the mean and the variance of a binomial variable X are 2 and 1 resp...

    Text Solution

    |

  8. Let two fair six-faced dice A and B be thrown simultaneously. If E1 is...

    Text Solution

    |

  9. If A and B are any two events such that P(A)=2/5 and P(AnnB)=3/20 then...

    Text Solution

    |

  10. An experiment succeeds twice as often as it fails. Find the probabi...

    Text Solution

    |

  11. A box contains 15 green and 10 yellow balls. If 10 balls are randomly ...

    Text Solution

    |

  12. If two different numbers are taken from the set {0,1,2,3, ,10}; t...

    Text Solution

    |

  13. For three events A ,B and C ,P (Exactly one of A or B occurs) =P (Exac...

    Text Solution

    |

  14. From a group of 10 men and 5 women,four member committees are to be fo...

    Text Solution

    |

  15. E and F are two independent events. The probability that both e and F ...

    Text Solution

    |

  16. Three persons P, Q and R independentlytry to hit a target. If the prob...

    Text Solution

    |

  17. An unbiased coin is tossed eight times. The probability of obtaining a...

    Text Solution

    |

  18. A bag contains 4 red and 6 black balls. A ball is drawn at random from...

    Text Solution

    |

  19. A box 'A' contains 2 white, 3 red and 2 black balls. Another box 'B'...

    Text Solution

    |

  20. A player X has a biased coin whose probability of showing heads is p ...

    Text Solution

    |