Home
Class 12
MATHS
Of the three independent events E(1),E(2...

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), or E_(3)` occurs satisfy the equations `(alpha-2beta)p=alpha betaand (beta-3gamma)p=2betagamma.` All the given probabilities are assumed to lie in the interval `(0,1).` Then
`("Probability of occurrence of"E_(1))/("Probability of occurence of"E_(3))=`

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

There are two independent events E_1 and E_2 and P(E_1)=0.30 , P(E_2)=0.60 find the probability that both E_1 and E_2 occur.

There are two independent events E_1 and E_2 and P(E_1)=0.30 , P(E_2)=0.60 find the probability that neither E_1 nor E_2 occurs.

There are two independent events E_1 and E_2 and P(E_1)=0.30 , P(E_2)=0.60 find the probability that one and only one event happens.

If E and F are independent events, P(E)=1/(2)andP(F)=1/(3) then P(EnnF) is :

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

Probability of an event E+Probability of the event 'not E' = 1.

There are two independent events E_1 and E_2 and P(E_1)=0.30 , P(E_2)=0.60 find the probability that at least one of E_1 and E_2 happens.

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

If E and F are independent events, P (E) = 1/2 and P (F) = 1/3 , then P (E nn F) is :

If E and F are independent events, P(E) = 1/20 and P(F) = 1/3 then P (E cap F) is :

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

    Text Solution

    |

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

    Text Solution

    |

  3. Of the three independent events E(1),E(2),and E(3), the probability th...

    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 P(bar(A cup B))=(1)/(6), P(A cap ...

    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 number 1,2,3 , box 2 contains five ...

    Text Solution

    |

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

    Text Solution

    |

  10. If 12 indentical balls are to placed in 3 indntical boxes, then the pr...

    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,in box...

    Text Solution

    |

  13. There are two bags I and II . Bag I contains 4 white and 3 red balls a...

    Text Solution

    |

  14. Let two fair six-faced dice A and B be thrown simltaneously. If E(1) i...

    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 T(1)and T(2) have to play two games are independent. Th...

    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

    |