Home
Class 12
MATHS
A problem is given to three students who...

A problem is given to three students whose chances of solving it are
`1/2, 1/3` and `1/4` respectively. Find the probability that:
i) the problem will be solved
ii) exactly two of them solves the problem.

Promotional Banner

Topper's Solved these Questions

  • MATRICES

    V PUBLICATION|Exercise QUESTION BANK|100 Videos
  • RELATIONS AND FUNCTIONS

    V PUBLICATION|Exercise QUESTION BANK|114 Videos

Similar Questions

Explore conceptually related problems

A problem is given to three students whose chances of solving it are 1/2,1/3 and 1/4 respectively.What is the probability that: None solve the problem.

A problem is given to three students whose chances of solving it are 1/2,1/3 and 1/4 respectively.What is the probability that (ii)Atleast one solve the problem.

a problem in mathematics is given to 3 students whose chances of solving individually are 1/2,1/3,1/4 .Find the probability that the problem will be solved atleast by one.

The probability of solving a problem independently by A and B are 1/3 and 1/4 respectively. Find the probability that exactly one of them solves the problem.

Probability that a problem will be solved by three students are 1/4,1/2,3/4 respectively.what is the probability that the problem will be solved

Probability that a problem will be solved by three students are 1/4,1/2,3/4 respectively.what is the probability that none solves the problem

Probability that a problem will be solved by three students are 1/4,1/2,3/4 respectively.what is the probability that all solves the problem.

Probability that a problem will be solved by three students are 1/4,1/2,3/4 respectively.what is the probability that (iv).Exactly one solves the problem

probability of solving a specific problem independently by A and B are 1/2 and 1/3 respectively. If both try to solve the problem independently, then Find the probability that exactly one of them solve the problem ?

V PUBLICATION-PROBABILITY-QUESTION BANK
  1. If a leap year is selected at random, what is the chance that it will ...

    Text Solution

    |

  2. If each element of a second order determinant is either zero or one, w...

    Text Solution

    |

  3. An electronic assembly consists of two subsystems, say, A and B. From ...

    Text Solution

    |

  4. Bag I contains 3 red and 4 black balls and Bag II contains 4 red and 5...

    Text Solution

    |

  5. If A and B are two events such that P(A) ne 0 and P(B | A)=1, then a)A...

    Text Solution

    |

  6. If P(A | B)gtP(A), then which of the following is correct: a) P(B | A)...

    Text Solution

    |

  7. If 'A' and 'B' are any two events such that 'P(A)+P(B)-P(A' and 'B)=P(...

    Text Solution

    |

  8. Consider the random experiment of throwing a die. Let' E be the event ...

    Text Solution

    |

  9. If 'P(E)=0.40, P(F)=0.35' and 'P(E, uu F)=0.55', find 'P(E / F)' and. ...

    Text Solution

    |

  10. A' and 'B' are two events such that 'P(A)=1/4, P(A / B)=(1/3)' and 'P(...

    Text Solution

    |

  11. A die is thrown twice and the sum of the numbers appearing is observed...

    Text Solution

    |

  12. A bag contains 4 red and 3 black balls. A second bag contains 2 red an...

    Text Solution

    |

  13. If A and B are independent events, Prove that bar A and bar B are inde...

    Text Solution

    |

  14. A problem is given to three students whose chances of solving it are ...

    Text Solution

    |

  15. A can hit a target 3 times in 6 shots, B 2 times in 6 shots and C 4 ti...

    Text Solution

    |

  16. Obtain the probability distribution of the total number of heads occur...

    Text Solution

    |

  17. An urn contains 4 white and 3 red balls. Find the probability distribu...

    Text Solution

    |

  18. Find the probability distribution of the number of green balls drawn w...

    Text Solution

    |

  19. Three cards are drawn successively without replacement from a well-shu...

    Text Solution

    |

  20. Two cards drawn successively with replacement from a well shuffled pac...

    Text Solution

    |