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:
No
Promotional Banner

Topper's Solved these Questions

  • PROBABILITY

    BETTER CHOICE PUBLICATION|Exercise Previous year Board.s questions for practice ( Multiple choice question)|4 Videos

  • MATRICES

    BETTER CHOICE PUBLICATION|Exercise Previous years Board Questions for practice |69 Videos

  • RELATIONS AND FUNCTIONS

    BETTER CHOICE PUBLICATION|Exercise PREVIOUS YEARS BOARD.S QUESTIONS FOR PRACTICE |43 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).

BETTER CHOICE PUBLICATION-PROBABILITY-Previous year Board.s questions for practice
  1. one bag contains 6 white and 5 black balls. Another bag contains 5 whi...

    Text Solution

    |

  2. A bag 'A' contains 5 red and 7 blue balls, while the other bag 'B' con...

    Text Solution

    |

  3. 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

    |

  4. A die is thrown twice and the sum of the numbers appearing is observed...

    Text Solution

    |

  5. A die is thrown. If E is the event ‘the number appearing is a multiple...

    Text Solution

    |

  6. Given that the two numbers appearing on throwing two dice are differen...

    Text Solution

    |

  7. If a fair of coin is tossed 10 times, find the probability of : (i) ...

    Text Solution

    |

  8. In a single throw of three dice, determine the probability of getting ...

    Text Solution

    |

  9. In a single throw of two dice, find the probability of total of 9 or I...

    Text Solution

    |

  10. In a single throw of two dice, find the probability of total of 9 or 1...

    Text Solution

    |

  11. Five dice are thrown simultaneously . If the occurence of 1,3 or 5 in ...

    Text Solution

    |

  12. Ten coins are thrown simultaneously . Find the probability of getting ...

    Text Solution

    |

  13. An unbiased die is thrown twice. Let the event A be ‘odd number on the...

    Text Solution

    |

  14. Find the probability of getting 5 exactly twice in 5 throws of a die .

    Text Solution

    |

  15. A die is tossed thrice. Find the probability of getting an odd number ...

    Text Solution

    |

  16. Find the probability distribution of the number of tails when three co...

    Text Solution

    |

  17. A coin is biased so that the head is 3 times as likely to occur as tai...

    Text Solution

    |

  18. A problem is given to three children whose chances of solving the prob...

    Text Solution

    |

  19. In a tape recorder factory, three machines A, B and C produced 50%, 30...

    Text Solution

    |

  20. Bag I contains 3 red and 4 black balls and Bag II contains 4 red and 5...

    Text Solution

    |