Home
Class 12
MATHS
If E and Fevents with P(E) <= P(F) and P...

If E and Fevents with `P(E) <= P(F)` and `P(E nn F)>0`, then (a) occurrence of E=>occurrence of F(b) occurrence of F=>occurrence of E(c) non-occurrence of E=>non-occurrence of F(d) none of the above implications hold

A

occurrence of E `rArr` occurrence of F

B

occurrence of F `rArr` occurrence of E

C

non-occurrence of E `rArr` non-occurrence of F

D

None of the above

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • PROBABILITY

    VMC MODULES ENGLISH|Exercise JEE MAIN (ARCHIVE)|37 Videos

  • PERMUTATION & COMBINATION

    VMC MODULES ENGLISH|Exercise JEE ARCHIVE|50 Videos

  • PROPERTIES OF TRIANGLE

    VMC MODULES ENGLISH|Exercise JEE Advanced (Archive)|50 Videos

Similar Questions

Explore conceptually related problems

The probability of the occurrence of an event is 3/7 The probability of non-occurrence of the event is:

The odds in favour of the occurrence of an event are 3:5 . Find the probability of the non-occurrence of the event.

The probability of the occurrence of an event is 3/10 . Find the probability of non-occurrence of the event.

If A and B are two events write the expression for the probability of occurrence of exactly one of two events.

The probability of the occurrence of an event is 3/8 . Find the probability of the non-occurrence of the event.

The odds against of the occurrence of an event are 6:7 . Find the probability of the non-occurrence of the event.

The probability of the occurrence of an event is 3/7 . Find the probability of the non occurrence of the event.

The probability of an occurrence of event A is 0.7 and that of the occurrence of event B is 0.3 and the probability of occurrence of both is 0.4.

If the odds in favour of an event are 4:5, then the probability of non-occurrence of that event is

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)

VMC MODULES ENGLISH-PROBABILITY-JEE ADVANCED (ARCHIVE)
  1. 6 boys and 6 girls sit in row at random. the probability that all t...

    Text Solution

    |

  2. If P(B)=3//4, P(AnnBnnC)=1//3 and P( A nnBnn C )=1//3, t h e nP(BnnC...

    Text Solution

    |

  3. If E and Fevents with P(E) <= P(F) and P(E nn F)>0, then (a) occurrenc...

    Text Solution

    |

  4. For the three events A ,B ,a n d \ C ,P (exactly one of the events Aor...

    Text Solution

    |

  5. Let 0ltP(A)lt1, 0ltP(B)lt1 and P(AcupB)=P(A)+P(B)-P(A)P(B), then,

    Text Solution

    |

  6. The probability that at least one of the event A and B occurs is 0....

    Text Solution

    |

  7. Two events A and B have probabilities 0.25 and 0.50, respectively. The...

    Text Solution

    |

  8. If A and B are two given events, then P(A cap B) is

    Text Solution

    |

  9. If M and N are any two events, the probability that atleast one of the...

    Text Solution

    |

  10. Three numbers are chosen at random without replacement from {1, 2, 3, ...

    Text Solution

    |

  11. If P(AcupB) = P(AcapB) if and only if the relation between P(A) and P(...

    Text Solution

    |

  12. If the probabilities for A to fail in an examination is 0.2 and that f...

    Text Solution

    |

  13. In a certain city, only 2 newspapers A and B are published. It is know...

    Text Solution

    |

  14. If A,B and C are three events, such that P(A)=0.3, P(B)=0.4, P(C)=0.8,...

    Text Solution

    |

  15. Aa n dB are two candidates seeking admission in IIT. The probability...

    Text Solution

    |

  16. Four person independently solve a certain problem correctly with pr...

    Text Solution

    |

  17. An experiment has 10 equally likely outcomes. Let A and B be two non-e...

    Text Solution

    |

  18. Let E^c denote the complement of an event E. Let E,F and G be pairwise...

    Text Solution

    |

  19. Indian and four American men and their wives are to be seated randomly...

    Text Solution

    |

  20. A dice is thrown. The probability that the first time 1 occurs at the ...

    Text Solution

    |