Home
Class 12
MATHS
If E and F are events with P(E) le P(F) ...

If E and F are events with `P(E) le P(F) and P(E cap F) gt 0, ` then :

A

occurrence of E `implies` occurrence of F

B

occurrence of `F implies` occurrence of E

C

non - occurrence of E `implies` non occurrence of F

D

None of the above implication holds.

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • UNIT TEST PAPER NO. 5 (CALCULUS)

    MODERN PUBLICATION|Exercise Select the correct answer|25 Videos

  • UNIT TEST PAPER NO.3

    MODERN PUBLICATION|Exercise ASSERTION-REASON & COLUMN MATCHING TYPE QUESTIONS (SECTION-B COLUMN MATCHING TYPE QUESTIONS)|4 Videos

Similar Questions

Explore conceptually related problems

Given that E and F are events such that P(E)=0.6, P(F)=0.3 and P(E cap F)=0.2 , find P(E//F) and P(E//F) .

If E and F are two events such that P(E)=1/4 , P(F)=1/2 and P(E and F)=1/8 .Find P(not E and not F)

Let E and F events with P(E) = (3)/(5), P(F) = (3)/(10) and P(Ecap F) = (1)/(5)* Are E and F independent ?

Let E^(c ) denote the complement of an event E . Let E,F ,G be pair - wise independent events with P(G) gt 0 and P(E ca p F cap G) = 0 . Then P(E^(C )cap F^(C )//G) equals :

If E and F are two events such that P(E)=1/4, P(E)=1/2 and P(E and F)=1/8 . Find P (not E and not F).

If E and F are the evens such that P(E) =1/4, P(F)=1/2and P(E and F)=1/7 . Find (i) P(E or F) (ii) P(not E and not F) ?

Two events E and F are independent. If P(E) = 0.3, P(E cup F) = 0.5 , then P(E|F)-P(F|E) equals

If A and B are such events that P(A) gt 0, and P(B) ne 1, then P(A^(')|B^(')) =

If E and F are events such that P(E )=(1)/(4),P(F)=(1)/(2)" and P(E and F) "=(1)/(8) . Find P(E or F).

MODERN PUBLICATION-UNIT TEST PAPER NO. 6 (THREE - DIMENSIONAL GEOMETRY, VECTORS & PROBABILITY)-Select the correct answer
  1. P(B)=3/4,P(barAcapBcapbarC)=1/3,P(AcapBcapbarC)=1/3 then P(BcapbarC) :

    Text Solution

    |

  2. The mean and the variance of a binomial distribution are 4 and 2 respe...

    Text Solution

    |

  3. Let veca=2hati+hatj-2hatk and vecb=hati+hatj. If vecc is a vector such...

    Text Solution

    |

  4. s. Given two vectors are i- j and i+ 2j the unit,vector coplanar with ...

    Text Solution

    |

  5. The unit vector which is orthgonal to the vector veca=3hati+2hatj+6hat...

    Text Solution

    |

  6. Let veca,vecb,vecc be the three vectors such that veca.(vecb+vecc)+ve...

    Text Solution

    |

  7. The pair of lines whose direction cosines are given by : 3l+m+5n=0,6...

    Text Solution

    |

  8. The length of the perpendicular from P(1,0,2) on the line (x+1)/(3)=(y...

    Text Solution

    |

  9. The lines whose vector equations are : vecr=veca+tvecb,vecr=vecc+t'v...

    Text Solution

    |

  10. If from each of the three boxes containing 3 white and 1 black, 2 whit...

    Text Solution

    |

  11. Five horses are in a race. Mr. A selects two of the horses at random ...

    Text Solution

    |

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

    Text Solution

    |

  13. The probability that A speaks truth is (4)/(5), while this probability...

    Text Solution

    |

  14. If E and F are events with P(E) le P(F) and P(E cap F) gt 0, then :

    Text Solution

    |

  15. If vecE and vecF are complementary events of events E and F respective...

    Text Solution

    |

  16. If veca, vecb, vecc are vectors such that veca.vecb=0 and veca + vecb ...

    Text Solution

    |

  17. If veca satisfies vecaxx(hati+2hatj+hatk)=hati-hatk" then " veca is eq...

    Text Solution

    |

  18. If veca, vecb, vecc are non-coplanar unit vectors such that vecaxx(vec...

    Text Solution

    |

  19. Two system of rectangular axes have the same origin. If a plane cuts t...

    Text Solution

    |

  20. Dialing a telephone number, a man forgot the last two digits and remem...

    Text Solution

    |