Home
Class 12
MATHS
Let E and F be events with P(E)=3/5, P(F...

Let E and F be events with `P(E)=3/5, P(F)=3/10` and `P (E cap F)=1/5`. Are E and F independent?

Text Solution

Verified by Experts

The correct Answer is:
E and F are not independent events
Promotional Banner

Topper's Solved these Questions

  • PROBABILITY

    OMEGA PUBLICATION|Exercise Important Questions From Miscellaneous Exercise|16 Videos

  • PROBABILITY

    OMEGA PUBLICATION|Exercise Multiple Choice Questions (MCQs)|38 Videos

  • MATRICES

    OMEGA PUBLICATION|Exercise MULTIPLE CHOICE QUESTIONS |28 Videos

  • PUNJAB BOARD - MATHEMATICS 2019

    OMEGA PUBLICATION|Exercise SERIES-C|58 Videos

Similar Questions

Explore conceptually related problems

Let E and F be events with P(E)=4/5 , P(F)=4/10 and P(EcapF)=1/5 . Are E and F independent?

Two events E and F are such that: P(E)=0.6, P(F)=0.2 and P(EuuF)=0.68 . Are E and F independent?

If P(A)=3/5, P(B) = 1/5 find P (A cap B) if A and B are independent events.

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(F|E)

If E and F are events such that P(E) =1/4, P(F) =1/2 and P(E and F) =1/8, find (i) P(E or F), (ii) P(not E and not F).

OMEGA PUBLICATION-PROBABILITY-Multiple Choice Questions (MCQs)
  1. Let E and F be events with P(E)=3/5, P(F)=3/10 and P (E cap F)=1/5. Ar...

    Text Solution

    |

  2. If P (A) = 1/2 , P(B) = 0 then P (A|B) is :

    Text Solution

    |

  3. If A and B are two events such that AcapBnephi, P((A)/(B))=P((B)/(A))...

    Text Solution

    |

  4. The probability of obtaining an even prime number on each die, when a ...

    Text Solution

    |

  5. Two events A and B will be independent, if:

    Text Solution

    |

  6. Probability that A speaks truth is 4/5. A coin is tossed. A reports t...

    Text Solution

    |

  7. If A and B are two events such that AsubB and P(B) ne 0, then which of...

    Text Solution

    |

  8. The mean of the numbers obtained on throwing a die having written 1 on...

    Text Solution

    |

  9. Suppose that two cards are drawn at random from a deck of cards. Let X...

    Text Solution

    |

  10. In a box containing 100 bulbs, 10 are defective. The probability that ...

    Text Solution

    |

  11. The probability that a student is not a swimmer is 1/5. Then the prob...

    Text Solution

    |

  12. If P(A/B) > P(A), then which of the following is correct : :

    Text Solution

    |

  13. If A and B are two events such that P(A) ne 0 and P(B/A) = 1, then

    Text Solution

    |

  14. If A and B are any two events such that : P(A) + P(B) – P(A and B) = P...

    Text Solution

    |

  15. If P(A)=(6)/(11),P(B)=(5)/(11) and P(AuuB)=(-1)/(11) then P(AnnB) is

    Text Solution

    |

  16. If P(A)=(6)/(11),P(B)=(5)/(11) and P(AuuB)=(-1)/(11) then P(AnnB) is

    Text Solution

    |

  17. The event A and B are independent if

    Text Solution

    |

  18. Three coins are tossed then probability of at least one head

    Text Solution

    |

  19. If P(A) = 7/13, P(B) = 9/13 and P(A nn B) = 4/13· then P(A/B) is equal...

    Text Solution

    |

  20. lf 2P(A)=P(B) = 5/13 and P(A//B) = 2/5 then find P (A uu B).

    Text Solution

    |

  21. If P (A) = 1/2 , P(B) = 0 then P (A|B) is :

    Text Solution

    |