Home
Class 12
MATHS
Four person independently solve a certai...

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 `(235)/(256)` b. `(21)/(256)` c. `3/(256)` d. `(253)/(256)`

A

`(235)/(256)`

B

`(21)/(256)`

C

`(3)/(256)`

D

`(253)/(256)`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • PROBABILITY

    VMC MODULES ENGLISH|Exercise JEE MAIN (ARCHIVE)|37 Videos
  • PERMUTATION & COMBINATION

    VMC MODULES ENGLISH|Exercise JEE ARCHIVE|50 Videos
  • PROPERTIES OF TRIANGLE

    VMC MODULES ENGLISH|Exercise JEE Advanced (Archive)|50 Videos

Similar Questions

Explore conceptually related problems

Three persons work independently on a problem. If the respective probabilities that they will solve it are 1/3, 1/4 and 1/5, then find the probability that none can solve it.

Three persons work independently on a problem. If the respective probabilities that they will solve it are 1/3, 1/4 and 1/5, then find the probability that not can solve it.

Four persons can hit a target correctly with probabilities (1)/(2),(1)/(3),(1)/(4) and (1)/(8) respectively. Probability that target is hit if all hit at the target at same time

A problem is given to three students whose chances of solving it are 1/4, 1/5 and 1/3 respectively. Find the probability that the problem is solved.

A problem is given to that three students whose chances of solving it are 1/5,1/5,1/3 respectively. Find the probability that the problem is solved.

A problem in mathematics is given to 3 students whose chances of solving it are 1/2; 1/3; 1/4 . What is the probability that the problem is solved?

The probability of solving a problem by three students are 1/3,1/4,1/5 . Find the probability that the problem will be solved if all three students try the problem simultaneously.

Four persons can hit a target correctly with probabilities (1)/(2),(1)/(3),(1)/(4) and (1)/(8) respectively.If all hit at the target independently, then the probability that the target would be hit, is

The odds against A solving a certain problem are 4 to 3 and the odds in favour of B solving the same problem are 7 to 5. Find the probability that the problem will be solved.

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 ?

VMC MODULES ENGLISH-PROBABILITY-JEE ADVANCED (ARCHIVE)
  1. If A,B and C are three events, such that P(A)=0.3, P(B)=0.4, P(C)=0.8,...

    Text Solution

    |

  2. Aa n dB are two candidates seeking admission in IIT. The probability...

    Text Solution

    |

  3. Four person independently solve a certain problem correctly with pr...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  6. Indian and four American men and their wives are to be seated randomly...

    Text Solution

    |

  7. A dice is thrown. The probability that the first time 1 occurs at the ...

    Text Solution

    |

  8. There are four machines and it is known that eactly two of them are fa...

    Text Solution

    |

  9. A fair coin is tossed repeatedly. If tail appears on first four tos...

    Text Solution

    |

  10. If from each of the three boxes containing 3 whiter and 1 black, 2 ...

    Text Solution

    |

  11. The probability of India winning a test match against West Indies is 1...

    Text Solution

    |

  12. An unbiased die with faced marked 1, 2, 3, 4, 5, and 6 is rolled four ...

    Text Solution

    |

  13. A student appears for tests I, II and III. The student is successful i...

    Text Solution

    |

  14. If A and B are independent events such that P(A) gt 0, P(B) gt 0, then...

    Text Solution

    |

  15. The probability that an event A happens in one trial of an experiment,...

    Text Solution

    |

  16. Let X any Y be two events, such that P(X//Y)=(1)/(2), P(Y//X)=(1)/(3) ...

    Text Solution

    |

  17. Let E and F be two independent events. The probability that exactly on...

    Text Solution

    |

  18. about to only mathematics

    Text Solution

    |

  19. If E and F are the complementary events of events E and F , respect...

    Text Solution

    |

  20. Ea n dF are two independent events. The probability that both Ea n dF ...

    Text Solution

    |