Home
Class 12
MATHS
Of the three independent events E1, E2 a...

Of the three independent events `E_1, E_2 and E_3,` the probability that only `E_1` occurs is `alpha,` only `E_2` occurs is `beta` and only `E_3` occurs is `gamma.` Let the probability p that none of events `E_1, E_2 and E_3` occurs satisfy the equations `(alpha-2beta), p=alphabeta and (beta-3gamma) p=2beta gamma.` All the given probabilities are assumed to lie in the interval `(0,1).` Then,`(probability of occurrence of E_1) / (probability of occurrence of E_3)` is equal to

Text Solution

Verified by Experts

The correct Answer is:
b
Promotional Banner

Topper's Solved these Questions

  • PROBABILITY

    ARIHANT MATHS|Exercise Exercise (Subjective Type Questions)|15 Videos
  • PERMUTATIONS AND COMBINATIONS

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|28 Videos
  • PRODUCT OF VECTORS

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|52 Videos

Similar Questions

Explore conceptually related problems

Of the three independent event E_(1),E_(2) and E_(3) , the probability that only E_(1) occurs is alpha , only E_(2) occurs is beta and only E_(3) occurs is gamma . If the probavvility p that none of events E_(1), E_(2) or E_(3) occurs satisfy the equations (alpha - 2beta)p = alpha beta and (beta - 3 gamma) p = 2 beta gamma . All the given probabilities are assumed to lie in the interval (0, 1). Then, ("probability of occurrence of " E_(1))/("probability of occurrence of " E_(3)) is equal to

If P (E) denotes probability of occurrence of event E, then :

If P (E) denotes the probability of an event E, then:

Probability of an event E + probability of the event not E is equal to ...............

If P(E) denotes the probability of an event E, then E is called certain event if :

Let E and F be two independent events. The probability that exactly one of them occurs is 11//25 and the probability of none of them occurring is 2//25. If P(T) denotes the probability of occurrence of the event T, then

ARIHANT MATHS-PROBABILITY-Exercise (Questions Asked In Previous 13 Years Exam)
  1. A multuple choice examination has 5 questions. Each questions has thr...

    Text Solution

    |

  2. Four person independently solve a certain problem correctly with pr...

    Text Solution

    |

  3. Of the three independent events E1, E2 and E3, the probability that on...

    Text Solution

    |

  4. A box B(1) contains 1 white ball, 3 red balls, and 2 black balls. An- ...

    Text Solution

    |

  5. A box B1 contains 1 white ball, 3 red balls and 2 black balls. Another...

    Text Solution

    |

  6. Let A and B be two events such that Poverline((AcupB))=(1)/(6),P(AcapB...

    Text Solution

    |

  7. Three boys and two girls stand in a queue. The probability, that the n...

    Text Solution

    |

  8. Box 1 contains three cards bearing numbers 1, 2, 3; box 2 contains fiv...

    Text Solution

    |

  9. Box 1 contains three cards bearing numbers 1, 2, 3; box 2 contains fiv...

    Text Solution

    |

  10. If 12 identical balls are to be placed in 3 identical boxes, then t...

    Text Solution

    |

  11. The minimum number of times a fair coin needs to be tossed, so that th...

    Text Solution

    |

  12. Let n1, and n2, be the number of red and black balls, respectively, i...

    Text Solution

    |

  13. Let n1, and n2, be the number of red and black balls, respectively, i...

    Text Solution

    |

  14. Let two fair six-faced dice A and B be thrown simultaneously. If E1 is...

    Text Solution

    |

  15. A computer producing factory has only two plants T(1) and T(2). Plant ...

    Text Solution

    |

  16. Football teams T1 and T2 have to play two games against each other. It...

    Text Solution

    |

  17. Football teams T1 and T2 have to play two games against each other. It...

    Text Solution

    |

  18. A box contains 15 green and 10 yellow balls. If 10 balls are randomly ...

    Text Solution

    |

  19. If two different numbers are taken from the set {0,1,2,3, ,10}; t...

    Text Solution

    |

  20. For three events A ,B and C ,P (Exactly one of A or B occurs) =P (Exac...

    Text Solution

    |