Home
Class 11
MATHS
If A\ a n d\ B mutually exclusive eve...

If `A\ a n d\ B` mutually exclusive events associated with a random experiment such that `P(A)=0. 4\ a n d\ P(B)=0. 5 ,` then find: `P( A nn B )`

Text Solution

Verified by Experts

Given`A\ a n d\ B` are mutually exclusive events
so,
`(A∩B)=ϕ.....(i)`
we know
`P(A∪B)=P(A)+P(B)−P(A∩B)` ...
Promotional Banner

Topper's Solved these Questions

  • PERMUTATIONS

    RD SHARMA|Exercise Solved Examples And Exercises|287 Videos

  • QUADRATIC EQUATIONS

    RD SHARMA|Exercise Solved Examples And Exercises|85 Videos

Similar Questions

Explore conceptually related problems

If A and B mutually exclusive events associated with a random experiment such that P(A)=0.4 and P(B)=0.5, then find: P(A nn B)

If A and B mutually exclusive events associated with a random experiment such that P(A)=0.4 and P(B)=0.5, then find: P(A nn B)

If A and B mutually exclusive events associated with a random experiment such that P(A)=0.4 and P(B)=0.5, then find: P(A uu B)

If A and B are two events associated with a random experiment such that P(A)=0.3,P(B)=0.4 and P(A uu B)=0. find P(A nn B)

If A and B are two events associated with a random experiment such that P(A)=0.5,P(B)=0.3 and P(A nn B)=0.2, find P(A uu B)

Let A and B be two mutually exclusive events of a random experiment such that P(not A) = 0.65 and P(A or B) = 0.65, find P(B).

If A and B are two events associated with a random experiment such that P(A uu B)=0.8,P(A nn B)=0.3 and P(A)=0 ,find P(B)

If A and B are two events associated with a random experiment such that P(A) = 0.25, P(B) 0.4 and P(A or B) = 0.5, find the values of (i) P(A and B) (ii) P(A and bar(B))

Given two independent events A and B such that P(A)=0. 3\ a n d\ P(B)=0. 6 . Find: P( A nn B )

If A and B be two events associated with a random experiment such that P(A) = 0.3, P(B) = 0.2 and P(A nn B) = 0.1, find (i) P(bar(A) nn B)" " (ii) P(A nn bar(B))

RD SHARMA-PROBABILITY-Solved Examples And Exercises
  1. are two candidates seeking admission in I.I.T. The probability that...

    Text Solution

    |

  2. If A\ a n d\ B mutually exclusive events associated with a random e...

    Text Solution

    |

  3. If A\ a n d\ B mutually exclusive events associated with a random e...

    Text Solution

    |

  4. If A\ a n d\ B mutually exclusive events associated with a random e...

    Text Solution

    |

  5. If A\ a n d\ B mutually exclusive events associated with a random e...

    Text Solution

    |

  6. A\ a n d\ B are two events such that P(A)=0. 54 ,\ P(B)=0. 69\ a n ...

    Text Solution

    |

  7. A\ a n d\ B are two events such that P(A)=0. 54 ,\ P(B)=0. 69\ a n ...

    Text Solution

    |

  8. A\ a n d\ B are two events such that P(A)=0. 54 ,\ P(B)=0. 69\ a n ...

    Text Solution

    |

  9. If A\ a n d\ B are two events associated with a random experiment s...

    Text Solution

    |

  10. If A\ a n d\ B are two events associated with a random experiment s...

    Text Solution

    |

  11. If A\ a n d\ B are two events associated with a random experiment s...

    Text Solution

    |

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

    Text Solution

    |

  13. A box contains 30 bolts and 40 nuts. Half of the bolts and half of ...

    Text Solution

    |

  14. An integer is chosen at random from first 200 positive integers. Fi...

    Text Solution

    |

  15. Given two mutually exclusive events A and B such that P(A)=1//2 and...

    Text Solution

    |

  16. There are three events A, B, C one of which must and only one can happ...

    Text Solution

    |

  17. A card is drawn at random from a well shuffled deck of 2 cards. Fin...

    Text Solution

    |

  18. In a single throw of two dice, find the probability that neither a ...

    Text Solution

    |

  19. A natural number is chosen at random from amongst first 500. What i...

    Text Solution

    |

  20. A card is drawn from a deck of 52 cards. Find the probability of ge...

    Text Solution

    |