Home
Class 12
MATHS
Let A and B be two independent events. T...

Let A and B be two independent events. The probability of their simultaneous occurrence is 1/8 and the probability that neither occurs is 3/8. Find `P(A)a n dP(B)dot`

Text Solution

Verified by Experts

`A` and `B` are independent events
Let `P(A)=x ; P(B)=y`
`P(A cap B)=P(A) times P(B)`
`frac{1}{8}=x y ldots(1)`
and `P(bar{A} cap bar{B})=P(` Probability not occurrence of any one `)`
`=frac{3}{8}` ...
Promotional Banner

Topper's Solved these Questions

  • MEAN VALUE THEOREMS

    RD SHARMA|Exercise Solved Examples And Exercises|110 Videos
  • RELATIONS

    RD SHARMA|Exercise Solved Examples And Exercises|197 Videos

Similar Questions

Explore conceptually related problems

If A and B are two independent events, the probability that both A and B occurs is 1/12 and probability that neither A nor B occurs is 1/2 then

If A and B are two independent events, the probability that both A and B occur is 1/8 are the probability that neither of them occours is 3/8. Find the probaility of the occurrence of A.

A and B are two independent events.The probability that both A and B occur is 1/6 and the probability that neither of them occurs is 1/3. Find the probability of the occurrence of A.

The probability of occurrence of two events A and B are 1//4 and 1//2 respectively . The probability of their simultaneous occurrence is 7/50 ., find the probability that neither A nor B occurs .

The probability of two events A and B are 0.25 and 0.50 respectively.The probability of their simultaneous occurrences 0.15. Find the probability that neither A nor B occurs.

RD SHARMA-PROBABILITY-Solved Examples And Exercises
  1. A bag contains 5 white, 7 red and 4 black balls. If four balls are ...

    Text Solution

    |

  2. If P(A)=0. 4 ,P(B)=p ,P(AuuB)=0. 6 A and B are given to be independent...

    Text Solution

    |

  3. Let A and B be two independent events. The probability of their sim...

    Text Solution

    |

  4. A class consists of 80 students, 25 of them are girls and 55 are boys....

    Text Solution

    |

  5. Two dice are thrown. Find the probability of getting an odd number on ...

    Text Solution

    |

  6. A scientist has to make a decision on each f the two independent event...

    Text Solution

    |

  7. In two successive throws of a pair of dice, determine the probability ...

    Text Solution

    |

  8. A, B and C shot to hit a target. If A hits the target 4 times in 5 ...

    Text Solution

    |

  9. A company has estimated that the probabilities of success fro there pr...

    Text Solution

    |

  10. A can solve 90% of the problems given in a book and B can solve 70%. ...

    Text Solution

    |

  11. A bag contains 5 white, 7 red and 8 black balls. Four balls are drawn ...

    Text Solution

    |

  12. If two switches S1a n dS2 have respectively 90% and 80% chances of wor...

    Text Solution

    |

  13. The operates if all of its three components function. The probability ...

    Text Solution

    |

  14. An anti aircraft gun take four shots at an enemy plane moving away fro...

    Text Solution

    |

  15. An article manufactured by a company consists of two parts X and Y. In...

    Text Solution

    |

  16. To test the quality of electric bulbs produced in as factory, two bulb...

    Text Solution

    |

  17. A bag contains n white and n red balls. Pairs of balls are drawn witho...

    Text Solution

    |

  18. If Aa n dB are two events such that P(A)=0. 5 ,P(B)=0. 6a n dP(AuuB)=0...

    Text Solution

    |

  19. If P(notA)=0. 7 ,P(B)=0.7 a n dP(B//A)=0. 5 , then find P(A//B)a n dP...

    Text Solution

    |

  20. If P" "(A)" "=" "0. 8 , P(B)" "=" "0. 5 and P(B|A)" "=" "0. 4 , find ...

    Text Solution

    |