Home
Class 12
MATHS
Fpr L=1,2,3 the box Bk contains k red ba...

Fpr L=1,2,3 the box `B_k` contains k red balls and (k+1) white balls . Let `P(B_1) =1/2` , `P(B_(2))=1/3 ,P(B_3)=1/6` . A box is selected at random and a ball is drawn from it . If a red ball is drawn, then the probability that it has come from box `B_2` is

A

` (35)/(78)`

B

`(14)/(39)`

C

`(10)/(13)`

D

`(12)/(13)`

Text Solution

Verified by Experts

The correct Answer is:
A
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

Box A contains 2 black and 3 red balls, while box B contains 3 black and 4 red balls . Out of these two boxes one is selected at random, and the proability of choosing box A is double that of box B. if a red ball is drawn from the selected box then the proability that is has come from box B is

Three boxes numbered I,II,III contains the balls as follows : One box is randomly selected and a ball is drawn from it . If the ball is red , then find the probability that it is from box II .

Three boxes numbered I,II,III contain the balls as follows. One box is randomly selected and a ball is drawn from it. If the ball is red, then find the probability that it is from box II.

Three boxes numbered I, II, III contain the ball as follows One box is randomly selected and a ball is drawn from it. If the ball is red, then find the probability that it is from box Il.

Three boxes numbered, I, II, III contain balls as follows {:(,"White","Black","Red"),(I, 1,2,3),(II, 2,1,1),(III, 4 ,5, 3):} One box is randomly selected and a ball is drawn from it. If the ball is red, then the probability that it is from box II.

Three bags contains 3 red, 4 black balls, 4 red, 5 black balls, 5 red , 2 black balls. If one bas is selected at random and a ball is drawn from it then the probability that it is red is

A bag contains 7 red, 5 white and 6 black balls. A ball is drawn from the bag at random, find the probability that the ball drawn is not black.

A bag contains 2 white and 3 black balls and another bag contains 4 white and 2 black balls. One bag is selected at random and a ball is drawn from it. Find the probability that the colour of the ball is white.

SIA PUBLICATION-MEASURES OF DISPERSION AND PROBABILITY -PROBLEMS
  1. If A and B are two independent events of a random experiment such that...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  11. Seven balls are drawn simultaneously from a bag containing 5 white and...

    Text Solution

    |

  12. In a book of 500 pages , it is found that there are 250 typing errors ...

    Text Solution

    |

  13. If A and B are two indepandent events such that P(B) = 2/7 , P(A uu...

    Text Solution

    |

  14. A number n is chosen at random from (1,2,3,4,…….1000). The probability...

    Text Solution

    |

  15. A coin and six faced die, both unbaised are thrown simultaneously . Th...

    Text Solution

    |

  16. A number n is chosen at random from S = {1,2,3,…, 50} Let A = {...

    Text Solution

    |

  17. Box A contains 2 black and 3 red balls , while box B contains 3 black ...

    Text Solution

    |

  18. If the range of random veriable X is {0,1,2,3,4….} with P(X = k) = ...

    Text Solution

    |

  19. For a Binomial variate X with n = 6 , if P(X = 2) = 9 P(X = 4), then...

    Text Solution

    |

  20. Suppose E and F are two events of a random experiment If the probab...

    Text Solution

    |