Home
Class 12
MATHS
Probability of solving specific problem ...

Probability of solving specific problem independently by A and B are `(1)/(2)` and 3`(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.

Text Solution

Verified by Experts

The correct Answer is:
`(i)(2)/(3), (ii) (1)/(2)`
Promotional Banner

Topper's Solved these Questions

  • PROBABILITY

    KUMAR PRAKASHAN|Exercise EXERCISE -13.3 |14 Videos
  • PROBABILITY

    KUMAR PRAKASHAN|Exercise EXERCISE -13.4 |20 Videos
  • PROBABILITY

    KUMAR PRAKASHAN|Exercise EXERCISE -13.1 |23 Videos
  • MATRICES

    KUMAR PRAKASHAN|Exercise Practice Paper - 3 (Section - D)|1 Videos
  • RELATIONS AND FUNCTIONS

    KUMAR PRAKASHAN|Exercise Practice Paper - 1 (Section - D)|2 Videos

Similar Questions

Explore conceptually related problems

A problem in mathematics is given to three students and their respective probabilities of solving the problem are (1)/(2) , (1)/(3) and (1)/(4) . The probability that the problem is solved, is

A problem in mathematics is given to three students A, B, C and their respective probability of solving the problem is (1)/(2), (1)/(3) and (1)/(4) . Probability that the problem is solved is ………

A problem in mathematics is given to three students A, B, C and their respective probability of solving the problem is (1)/(2),(1)/(3) and (1)/(4) . Probability that the problem is solved is ........

Statement-1: The probability that A and B can solve a problem is (1)/(2) and (1)/(3) respectively, then the probability that problem will be solved (5)/(6) . Statement-2: Above mentioned events are independent events.

A is targeting to B, B and C are targeting to A. probability of hitting the target by A, B and C are 2/3, 1/2 and 1/3, respectively. If A is hit, then find the Probability that B hits the target and C does not.

Four person independently solve a certain problem correctly with probabilities 1/2,3/4,1/4,1/8dot Then the probability that he problem is solve correctly by at least one of them is

A problem of mathematics is given to three students and probability of solving the problem is (1)/(3), (1)/(3), (1)/(3) respectively. The probability that at least one of them solves the problem is …………

A and B are two students. Their chances of solving a problem correctly are (1)/(3) and (1)/(4) , respectively. If the probability of their making a common error is (1)/(20) and they obtain the same answer, then the probability of their answer to be correct is ..........

The probability of an event that student gets I, II and III grade in exam is (1)/(10),(3)/(5) and (1)/(4) respectively. Then ......... is the probability that he fails in exam.

Problem of mathematics is given to three students and their respective probability of solving the problem is (1)/(3),(1)/(3) and (1)/(3) . Find probability of an event that exactly one student can solve problem.

KUMAR PRAKASHAN-PROBABILITY-EXERCISE -13.2
  1. Let A and B be independent events with P(A)= 0.3 and P( B)= 0.4. Find ...

    Text Solution

    |

  2. If A and B are two events such that P(A) =(1)/(4), P(B) = (1)/(2) an...

    Text Solution

    |

  3. Events A and B are such that P(A) =(1)/(2), P(B) =(7)/(12) and "P(not ...

    Text Solution

    |

  4. Given two independent events A and B such that P(A) = 0.3, Find (i...

    Text Solution

    |

  5. Given two independent events A and B such that P(A) = 0.3, Find (i...

    Text Solution

    |

  6. Given two independent events A and B such that P(A)= 0.3, P(B)= 0.6. F...

    Text Solution

    |

  7. Given two independent events A and B such that P(A) = 0.3, Find (i...

    Text Solution

    |

  8. A die is tossed thrice. Find the probability of getting an odd number ...

    Text Solution

    |

  9. Two balls are drawn at random with replacement from a box containing 1...

    Text Solution

    |

  10. Two balls are drawn at random with replacement from a box containing 1...

    Text Solution

    |

  11. Two balls are drawn at random with replacement from a box containing 1...

    Text Solution

    |

  12. Probability of solving specific problem independently by A and B are (...

    Text Solution

    |

  13. One card is drawn at random from a well shuffled deck of 52 cards. In ...

    Text Solution

    |

  14. One card is drawn at random from a well shuffled deck of 52 cards. In ...

    Text Solution

    |

  15. One card is drawn at random from a well shuffled deck of 52 cards. In ...

    Text Solution

    |

  16. In a hostel, 60% of the students read Hindi newspaper, 40% read Englis...

    Text Solution

    |

  17. In a hostel, 60% of the students read Hindi newspaper, 40% read Englis...

    Text Solution

    |

  18. In a hostel, 60% of the students read Hindi newspaper, 40% read Englis...

    Text Solution

    |

  19. Choose the correct answer The probability of obtaining an even prime...

    Text Solution

    |

  20. Choose the correct answer Two events A and B will be independent, if

    Text Solution

    |