Home
Class 12
MATHS
For any two events A and B associated to...

For any two events A and B associated to a random experiment, prove that: `P(A)=P(AnnB)+P(AnnbarB)`, `P(B)=P(AnnB)+P( barAnnB)`, `P(AuuB)=P(AnnB)+(AnnbarB)+P(barAnnB)`

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • MEAN VALUE THEOREMS

    RD SHARMA ENGLISH|Exercise All Questions|134 Videos

  • RELATIONS

    RD SHARMA ENGLISH|Exercise All Questions|197 Videos

Similar Questions

Explore conceptually related problems

If A, B, C are three events associated with a random experiment prove that P(AuuBuuC)=P(A)+P(B)+P(C)-P(AnnC)-P(BnnC)+P(AnnBnnC)

If A\ a n d\ B are two events associated with a random experiment such that P(A)=0. 3 ,\ P(B)=0. 4\ and \ P(AuuB)=0. ,\ find \ P(AnnB)

If A\ a n d\ B are two events associated with a random experiment such that P(A)=0. 5 ,\ \ P(B)=0. 3\ and \ P(AnnB)=0. 2 ,\ find \ P(AuuB)

If A\ a n d\ B are two events associated with a random experiment such that P(AuuB)=0. 8 ,\ P(AnnB)=0. 3\ a n d\ P( A )=0. 5 , find P(B)

If A and B are two events associated with a random experiment such that P(A)=0.3,P(B)=0.2" and "P(AcapB)=0.1, then the value of P(A∪B) is ….

If A and B are events of a random experiment such that P(AnnB)=4/5P(A'nnB')=7/10 and P(B)=2/5 , then find the value of P(A).

If Aa n dB are two events, the probability that exactly one of them occurs is given by P(A)+P(B)-2P(AnnB) P(Ann B )+P( A nnB) P(AuuB)-P(AnnB) P( A )+P( B )-2P( A nn B )

(i) A and B are two events in a random experiment such that P(AuuB)=0.7, P(AnnB)=0.3 and P(barA)=0.4 , find P(barB) (ii) If P(A)=2/3P(B)=4/9 and P(AnnB)=14/45 , then find the value of P(AuuB) and P(A'nnB')

If A and B are independent events such that P(A)=0.4 and P(B)=0.5 , then find P(AnnB) .

If A and B are two independent events such that P(A)=1/2 and P(B)=1/5, then a. P(AuuB)=3/5 b. P(A//B)=1/4 c. P(A//AuuB)=5/6 d. P(AnnB// barA uu barB )=0

RD SHARMA ENGLISH-PROBABILITY-All Questions
  1. Suppose you have two coins which appear identical in your pocket. You ...

    Text Solution

    |

  2. Three bags contain a number of red and white balls are as follow: Bag ...

    Text Solution

    |

  3. For any two events A and B associated to a random experiment, prove ...

    Text Solution

    |

  4. The probability of simultaneous occurrence of at least one of two e...

    Text Solution

    |

  5. A die is rolled thrice, find the probability of getting a larger nu...

    Text Solution

    |

  6. If the letters of the word ATTRACTION are written down at random, f...

    Text Solution

    |

  7. If each element of a second order determinant is either zero or one, ...

    Text Solution

    |

  8. Each coefficient in the equation a x^2+b x+c=0 is determined by throwi...

    Text Solution

    |

  9. Find the number of ways in which the birthday of six different persons...

    Text Solution

    |

  10. A fair dice is rolled. Consider the following events: A={1,2,5},B={2,3...

    Text Solution

    |

  11. A coin is tossed three times. Find P(E//F) in each of the following: ...

    Text Solution

    |

  12. A bag contains 6 red and 5 blue balls and another bag contains 5 red ...

    Text Solution

    |

  13. Find the mean and variance of Binomial Distribution if p=1/2 ,n=1

    Text Solution

    |

  14. One bag contains 4 white and 5 black balls. Another bag contains 6 ...

    Text Solution

    |

  15. There are two bags. The first bag contains 5 white and 3 black balls ...

    Text Solution

    |

  16. There are 3 red and 5 black balls in bag A; and red and 3 black balls ...

    Text Solution

    |

  17. Find the probability of drawing a one-rupee coin from a purse with two...

    Text Solution

    |

  18. A probability of student A passing an examination is 2/9 and of studen...

    Text Solution

    |

  19. X is taking up subjects Mathematics, Physics and Chemistry in the e...

    Text Solution

    |

  20. A and B throw alternately a pair of dice. A wins if he throws 6 before...

    Text Solution

    |