Home
Class 12
MATHS
If A(i=1,2,3….n) are n independent event...

If A(i=1,2,3….n) are n independent events with P(A) = `(1)/(1+i)` for each `i` , then the probability that none of A, occur is :

A

`(n-1)/(n+1)`

B

`(n)/(n+1)`

C

`(n)/(n+2)`

D

`(1)/(n+1)`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • MATRICES

    SIA PUBLICATION|Exercise PROBLEMS|52 Videos
  • MOCK TEST 1

    SIA PUBLICATION|Exercise PHYSICS|12 Videos

Similar Questions

Explore conceptually related problems

A and B are two independent events. The probability that both A and B occur, is 1//6 and the probability that none of them occur, is 1//3 . The minimum value of probability of occurance of A is

A and B are two independent events. If the probability that both A and B occur is 1/20 and the probability that neither of them occurs is 3/5, then P(A)+P(B)=

If A and B are two independent events, and P(A)=1//4 , P(B)=1//3 then find P(A-B)uu(B-A)) . i.e., propbability of occurrence of exactly one of the events A and B.

The probability of occurrence of an event is 2/5 and the probability of non occurrence of another event is 3/10 if these events are independent then the probability that only one of the two events occurs is

A and B are two independent events such that the probability of the both the events to occurs is (1)/(6) and the probability of both the events do not occur is (1)/(3) . Find the probability of A.

A coin has probability p of showing head when tossed. It is tossed n times. Let P_(n) denote the probabilty that no two (or more) consecutive heads occur. Prove that P_(1) = 1, P_(2) = 1 - P^(2) and P_(n) = (1 -P) P_(n-1) + P(1 - P) P_(n-2) for all n ge 3 .

SIA PUBLICATION-MEASURES OF DISPERSION AND PROBABILITY -PROBLEMS
  1. The probability that an idividual suffers a bad reaction from an injec...

    Text Solution

    |

  2. A urn A contains 3 white and 5 black balls. Another urn B contains 6 w...

    Text Solution

    |

  3. If A(i=1,2,3….n) are n independent events with P(A) = (1)/(1+i) for ea...

    Text Solution

    |

  4. Suppose that A and B are two independent events such that P(A nn B) =3...

    Text Solution

    |

  5. Suppose that a random variable X follows Poisson distribution . If P(X...

    Text Solution

    |

  6. If the mean and variance of a binomial variable X are 2 and 1 respecti...

    Text Solution

    |

  7. If A and B are events of a random experiment such that P(A uu B) =...

    Text Solution

    |

  8. The probability of choosing randomly a number c from the set {1,2,3,…,...

    Text Solution

    |

  9. Suppose that E1 and E2 are two events of a random experiment such that...

    Text Solution

    |

  10. X is a binomial variate with parameters n=6 and p. If 4P(X=4)=P(X=2), ...

    Text Solution

    |

  11. If A and B are two independent events of a random experiment such that...

    Text Solution

    |

  12. Let S be the sample space of the random experiment of throwing simulta...

    Text Solution

    |

  13. Fpr L=1,2,3 the box Bk contains k red balls and (k+1) white balls . Le...

    Text Solution

    |

  14. The distribution of a random veriable X is given below (##SIAMPCMAT...

    Text Solution

    |

  15. If X is a poisson distribution such that P(X=1)=P(X=2)then,P(X=4)=

    Text Solution

    |

  16. Four numbers are chosen at random from (1,2,3,…..40) . The probability...

    Text Solution

    |

  17. If A and B are mutually exclusive events with P(B) ne 1 then P(A| b...

    Text Solution

    |

  18. A bag contains 6 white and 4 black balls. Two balls are drawn at rando...

    Text Solution

    |

  19. The mean and standard deviation of a binomial variate X are 4 and sqrt...

    Text Solution

    |

  20. In the random experiment of tossing two unbiased dice, let E be the e...

    Text Solution

    |