Home
Class 12
MATHS
A box contains n coins, Let P(E(i)) be t...

A box contains n coins, Let `P(E_(i))` be the probability that exactly `i` out of n coins are biased. If `P(E_(i))` is directly proportional to `i(i+1),1 leilen`.
Q. Proportionality constant k is equal to

A

`(3)/(n(n^(2)+1))`

B

`(1)/((n^(2)+1)(n+2))`

C

`(3)/(n(n+1)(n+2))`

D

`(1)/((n+1)(n+2)(n+3))`

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • PROBABILITY

    ARIHANT MATHS|Exercise Exercise For Session 1|20 Videos

  • PROBABILITY

    ARIHANT MATHS|Exercise Exercise For Session 2|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

A box contains n coins, Let P(E_(i)) be the probability that exactly i out of n coins are biased. If P(E_(i)) is directly proportional to i(i+1),1 leilen . Q. If P be the probabiloity that a coin selected at random is biased, then lim_(xto oo) P is

A box contains n coins, Let P(E_(i)) be the probability that exactly i out of n coins are biased. If P(E_(i)) is directly proportional to i(i+1),1 leilen . Q. If a coin is selected at random is found to be biased, the probability that it is the only biased coin the box. is

There are n students in a class. Ler P(E_lambda) be the probability that exactly lambda out of n pass the examination. If P(E_lambda) is directly proportional to lambda^2(0lelambdalen) . Proportional constant k is equal to

A bag contains 20 coins.If the probability that the bag contains exactly 4 biased coin is 1/3 and that of exactly 5 biased coin is 2/3, then the probability that all the biased coin are sorted out from bag is exactly 10 draws is

In a simultaneously toss of two coins, find the probability of: (i) exactl 2 tails (ii) exactly 1 tail (iii) no tails.

There are four boxes B_(1), B_(2), B_(3) and B_(4) . Box B_(i) has i cards and on each card a number is printed, the numbers are from 1 to i . A box is selected randomly, the probability of selecting box B_(i) is (i)/(10) and then a card is drawn. Let E_(i) respresent the event that a card with number 'i' is drawn, Then : Q. P(E_(1)) is Equal to :

A coin is tossed. If head appears a fair die is thrown three times otherwise a biased die with probability of obtaining an even number twice as that of an odd number is thrown three times. If (n_(1),n_(2),n_(3)) is an outcome, (1 le n_(1) le6) and is found to satisfy the equation i^(n_(1))+i^(n_(2))+i^(n_(3))=1 , , then the probability that a fair die was thrown is (where i=sqrt(-1))

There are n turns each continuous (n+1) balls such that the ithurn contains 'I' white balls and (n+1-i) red balls. Let u_(1) be the event of selecting ith urn, i=1,2,3……..n and W denotes the event of getting a white balls. If P(u_(i)) prop i , where i=1,2,3,........,..n, then lim_(n to oo) P(W) is equal to

If i=sqrt(-1) , then {i^(n)+i^(-n), n in Z} is equal to

ARIHANT MATHS-PROBABILITY-Exercise (Questions Asked In Previous 13 Years Exam)
  1. A box contains n coins, Let P(E(i)) be the probability that exactly i ...

    Text Solution

    |

  2. A person goes to office either by car, scooter, bus or train probabili...

    Text Solution

    |

  3. A six faced fair die is thrown until 1 comes. Then , the probability t...

    Text Solution

    |

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

    Text Solution

    |

  5. Three houses are available in a locality. Three persons apply for the ...

    Text Solution

    |

  6. A randam variable X has Poisson's distribution with mean 2. Then , P(X...

    Text Solution

    |

  7. There are n urns each containing (n+1) balls such that ith urn contain...

    Text Solution

    |

  8. In a telephone enquiry system, the number of phone calls regarding rel...

    Text Solution

    |

  9. One Indian and four American men and their wives are to be seated rand...

    Text Solution

    |

  10. Let H1, H2,..., Hn be mutually exclusive events with P (Hi) > 0, i = ...

    Text Solution

    |

  11. Let E^c denote the complement of an event E. Let E,F,G be pairwise ind...

    Text Solution

    |

  12. A pair of fair dice is thrown independently three times. The probab...

    Text Solution

    |

  13. Two aeroplanes I and II bomb a target in succession. The probabilit...

    Text Solution

    |

  14. An experiment has 10 equally likely outcomes. Let A and B be two non-e...

    Text Solution

    |

  15. Consider the system of equations ax + by = 0; cx + dy = 0, where a, b,...

    Text Solution

    |

  16. A die is thrown. Let A be the event that the number obtained is gre...

    Text Solution

    |

  17. It is given that the events A and B are such that P(A)=(1)/(4),P((A)/(...

    Text Solution

    |

  18. A fair die is tossed repeatedly until a six is obtained Let X denote t...

    Text Solution

    |

  19. A fair die is tossed repeated until a six is obtained. Let X denote th...

    Text Solution

    |

  20. A fair die is tossed repeatedly until a six obtained. Let X denote the...

    Text Solution

    |

  21. In a binomial distribution B(n , p=1/4) , if the probability of at lea...

    Text Solution

    |