Home
Class 11
MATHS
Events E and F are such that P(not E or ...

Events E and F are such that P(not E or not F) = 0.25, State whether E and F are mutually exclusive

Text Solution

Verified by Experts

⇒P(E′∪F′)=0.25
⇒P(E∩F) ′ =0.25
⇒P(E∩F)=1−P(E∩F)′
⇒P(E∩F)=1−0.25
...
Promotional Banner

Topper's Solved these Questions

  • PROBABILITY

    NCERT|Exercise EXERCISE 16.1|16 Videos
  • PRINCIPLE OF MATHEMATICAL INDUCTION

    NCERT|Exercise EXERCISE 4.1|24 Videos
  • RELATIONS AND FUNCTIONS

    NCERT|Exercise EXERCISE 2.3|5 Videos

Similar Questions

Explore conceptually related problems

Events E and F are such that P(not backslash E backslash or backslash not backslash F)=0.25 State whether E and F are mutually exclusive.

Two events E and F are such that : P(E)=0.6,P(F)=0.2 and P(E uu F)=0.68 . Then E and F are independent events.

A die is rolled.Let E be the event die shows 4 and F be the event die shows even number. Are E and F mutually exclusive?

If E and F are events with P(E) le P(F) and P(E nn F) gt 0, then

If E and F are events with P(E)leP(F) and P(EnnF)gt0 , then

If E and F are events with P(E)leP(F) and P(EnnF)gt0 , then

Let E_(1) and E_(2) be two events such that P(E_(1))=0.3, P(E_(1) uu E_(2))=0.4 and P(E_(2))=x . Find the value of x such that (i) E_(1) and E_(2) are mutually exclusive, (ii) E_(1) and E_(2) are independent.

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

NCERT-PROBABILITY-EXERCISE 16.3
  1. A fair coin with 1 marked on one face and 6 on the other and a fair d...

    Text Solution

    |

  2. A card is selected from a pack of 52 cards. (a)        How many point...

    Text Solution

    |

  3. A fair coin is tossed four times, and people win Re 1 for each head a...

    Text Solution

    |

  4. There are four men and six women on the city council. If one council ...

    Text Solution

    |

  5. Which of the following cannot be valid assignment of probabilities fo...

    Text Solution

    |

  6. A die is thrown, find the probability of following events: (i) A pri...

    Text Solution

    |

  7. A coin is tossed twice, what is the probability that atleast one tail...

    Text Solution

    |

  8. In a class of 60 students, 30 opted for NCC, 32 opted for NSS and 24 ...

    Text Solution

    |

  9. The probability that a student will pass the final examination m both...

    Text Solution

    |

  10. Three coins are tossed once. Find the probability of getting (i) 3 he...

    Text Solution

    |

  11. Check whether the following probabilities P(A) and P(B) are consisten...

    Text Solution

    |

  12. Fill in the blanks m following table:

    Text Solution

    |

  13. A letter is chosen at random from the word ‘ASSASSINATION’. Find the ...

    Text Solution

    |

  14. In a lottery, a person choses six different natural numbers at random...

    Text Solution

    |

  15. Events E and F are such that P(not E or not F) = 0.25, State whether E...

    Text Solution

    |

  16. A and B are events such that P(A) = 0. 42, P(B) = 0. 48and P(A a n d B...

    Text Solution

    |

  17. Give P(A) =3/5and P(B) =1/5dotFind P(A or B), if A and B are mutually ...

    Text Solution

    |

  18. If E and F are events such that P(E) = 1/4, P(F) =1/2 and P(E and F)...

    Text Solution

    |

  19. In Class XI of a school 40% of the students study Mathematics and 30%...

    Text Solution

    |

  20. In an entrance test that is graded on the basis of two examinations, ...

    Text Solution

    |