Home
Class 12
MATHS
Probabilities of solving a specific prob...

Probabilities of solving a specific problem in dependently by A and B are `1/2a n d1/3` respectively. If both try to solve the problem independently find the probability that : The problem is solved Exactly one of them solves the problem.

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • MEAN VALUE THEOREMS

    RD SHARMA ENGLISH|Exercise All Questions|134 Videos
  • RELATIONS

    RD SHARMA ENGLISH|Exercise All Questions|197 Videos

Similar Questions

Explore conceptually related problems

Probabilities of solving a specific problem independently by A and B are 1/2\ a n d1/3 respectively. If both try to solve the problem independently, find the probability that (i) the problem is solved (ii) exactly one of them solves the problem.

Probability of solving specific problem independently by A and B are 1/2 and 1/3 respectively. If both try to solve the problem independently, find the probability that (i) the problem is solved (ii) exactly one of them solves the problem.

The probabilities that A and b can solve a problem independently are 1/3 and 1/4 respectively. If both try to solve the problem independently, find the probability that: (i) problem will be solved

The probability of solving a problem of mathematic for A and B are 1/3 and 1/5 respectively. If both try the problem, find the probability that the problem will be solved.

The probabilities of A, B and C solving a problem are 1/3, 2/7 and 3/8 respectively. If all the thee try to solve the problem simultaneously, find the probability that exactly one of them can solve it.

The probability of A, B and C solving a problem are (1)/(3) , (2)/(7) and (3)/(8) , respectively. If all try and solve the problem simultaneously, find the probability that only one of them will solve it.

The probabilities of A , B and C solving a problem independently are respectively (1)/(4) , (1)/(5) , (1)/(6) . If 21 such problems are given to A , B and C then the probability that at least 11 problems can be solved by them is

The probabilities of solving a problem correctly by A and B are (1)/(8) and (1)/(12) respectively. Given that they obtain the same answer after solving a problem and the probability of a common mistake by them is (1)/(1001) , then probability that their solution is correct is (Assuming that if they commit different mistake, then their answers will differ)

The probability that A can solve a problem is 2//3 and B can solve it is 3//4 . If both attempt the problem, what is the probability that the problem gets solved ?

A problem in Mathematics is given to two students A, B and their chances of solving the problem are 2/3, 3/4 respectively. The probability that exactly one of them solves the problem is

RD SHARMA ENGLISH-PROBABILITY-All Questions
  1. What is the probability that series circuit with three switches S1,\...

    Text Solution

    |

  2. A coin is tossed and a die is thrown. Find the probability that the ...

    Text Solution

    |

  3. Probabilities of solving a specific problem in dependently by A and B ...

    Text Solution

    |

  4. Town has two fire extinguishing engines functioning independently. The...

    Text Solution

    |

  5. A combination lock on a suitcase has 3 wheels, each labelled with nine...

    Text Solution

    |

  6. A coin is tossed thrice and all the eight outcomes are assumed equal...

    Text Solution

    |

  7. Prove that in throwing a pair of dice, the occurrence of the number 4 ...

    Text Solution

    |

  8. One card is drawn at random from a well shuffled deck of 52 cards. I...

    Text Solution

    |

  9. A coin is tossed three times. Let the events A B, and C be defined as ...

    Text Solution

    |

  10. If A and B be two events such that P(A)=1//4, P(B)=1//3 and P(AuuB)...

    Text Solution

    |

  11. Given two independent events A and B such that P(A)=0. 3\ a n d\ P(B)=...

    Text Solution

    |

  12. Given two independent events A and B such that P(A)=0. 3\ a n d\ P(B)=...

    Text Solution

    |

  13. Given two independent events A and B such that P(A)=0. 3\ a n d\ P(B)=...

    Text Solution

    |

  14. Given two independent events A and B such that P(A)=0. 3\ a n d\ P(B)=...

    Text Solution

    |

  15. Given two independent events A and B such that P(A)=0. 3\ a n d\ P(B)=...

    Text Solution

    |

  16. Given two independent events A and B such that P(A)=0. 3\ a n d\ P(B)=...

    Text Solution

    |

  17. Given two independent events A and B such that P(A)=0. 3\ a n d\ P(B)=...

    Text Solution

    |

  18. If P(not\ B)=0. 65 ,\ P(AuuB)=0. 85 , and A and B are independent even...

    Text Solution

    |

  19. If A and B are tow independent events such that P( A nnB)=2/(15)a n d...

    Text Solution

    |

  20. A and B are two independent events.The probability that both A and B o...

    Text Solution

    |