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

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

Text Solution

Verified by Experts

P(E) P(F0=3/5xx3/10=9/50`ne P(EnnF)` Thus,E and F are not independent.
Promotional Banner

Topper's Solved these Questions

  • MATRICES

    A N EXCEL PUBLICATION|Exercise QUESTION BANK|128 Videos

  • RELATIONS AND FUNCTIONS

    A N EXCEL PUBLICATION|Exercise QUESTION BANK|86 Videos

Similar Questions

Explore conceptually related problems

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

Let E and F be events such that P(E)=1/3,P(F)=1/4,P(EcapF)=1/5 .Find P(E|F)

Let E and F be events such that P(E)=1/3,P(F)=1/4,P(EcapF)=1/5 Find P(F|E)

Let E and F be events such that P(E)=1/3,P(F)=1/4,P(EcapF)=1/5 Find P(barF\\barE)

Let E and F be events such that P(E)=1/3,P(F)=1/4,P(EcapF)=1/5 Find P(EcupF)

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(not E and not F)

If E and F are two events such that P(E')=13/15 , P(F')=8/15 and P(E and F)= 1/15 , find P(not E and not F).

If E and F are two events such that P(E')=13/15 , P(F')=8/15 and P(E and F)= 1/15 , find P(E or F).

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).

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(not E and not F).

A N EXCEL PUBLICATION-PROBABILITY-QUESTION BANK
  1. A Fair coin and an unbiased die are tossed. Let A be the event 'head a...

    Text Solution

    |

  2. A die marked 1,2,3 in red and 4,5,6 in green is tossed. Let A be the e...

    Text Solution

    |

  3. Let E and F be events with P(E) = 3/5,P(F) = 3/10 and P(EnnF)=1/5.A...

    Text Solution

    |

  4. Given that the events A and B are such that P(A)=1/2,P(AUB)=3/5 and P...

    Text Solution

    |

  5. Given that the events A and B are such that P(A)=1/2,P(AnnB)=3/5 and ...

    Text Solution

    |

  6. Let A and B be independent events with P(A) = 0.3 and P(B) = 0.4. Find...

    Text Solution

    |

  7. Let A and B be independent events with P(A) = 0.3 and P(B) = 0.4. Find...

    Text Solution

    |

  8. Let ' A'. and 'B' be independent events with 'P(A)=0 .3' and 'P(B)=0.4...

    Text Solution

    |

  9. Let ' A'. and 'B' be independent events with 'P(A)=0 .3' and 'P(B)=0.4...

    Text Solution

    |

  10. If A and B are two events such that p(A) = 1/4, P(B) = 1/2and p(Ann...

    Text Solution

    |

  11. Event A and B are such that P(A)=1/2 P(B)=7/12 and P(not A or not B)=...

    Text Solution

    |

  12. Let two independent events A and B such that P(A)=0.3,P(B)=0.6.Find ...

    Text Solution

    |

  13. Let two independent events A and B such that P(A)=0.3,P(B)=0.6 Find...

    Text Solution

    |

  14. Let two independent events A and B such that P(A)=0.3,P(B)=0.6 Fin...

    Text Solution

    |

  15. Given two independent events A and B such that P(A)=0.3,P(B)=0.6. find...

    Text Solution

    |

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

    Text Solution

    |

  17. Two balls are drawn at random with replacement from a box containing 1...

    Text Solution

    |

  18. Two balls are drawn at random with replacement from a box containing 1...

    Text Solution

    |

  19. Two balls are drawn at random with replacement from a box containing 1...

    Text Solution

    |

  20. Probability of solving specific problem independently. If both try to ...

    Text Solution

    |