Home
Class 12
MATHS
A student appears for tests I, II and II...

A student appears for tests I, II and III. The student is considered successful if he passes in tests I, II or III or all the three. The probabilities of the Student passing in tests I,II and III are m, n and `1/2` respectively. If the probability of the student to be successful is `1/2`, then which one of the following is correct? (a) `m (1+n)=1` (B) `n (1+m) =1` (C) `m=1` (D) `mn=1 `

Promotional Banner

Topper's Solved these Questions

  • PRINCIPLE OF MATHEMATICAL INDUCTION

    CENGAGE PUBLICATION|Exercise Sovled Examples|22 Videos

  • PROBABILITY I

    CENGAGE PUBLICATION|Exercise JEE Advanced|7 Videos

Similar Questions

Explore conceptually related problems

A student appears for tests, I,II and III. The student is successful if he passes in tests I,II or I,III. The probabilities of the student passing in tests I,II and III are respectively p,q and (1)/(2) . If the probability of the student to be successful is (1)/(2) . Then

Marks of students in a test is

A problem on mathematics is given to three students A, B, C whose probabilities of solving it are (1)/(3), (2)/(5) and (3)/(4) respectively. Find the probability that the problem is solved.

Choose the correct alternative : [MCQ] If probability of type-I error and type-II error of a test are 0.4 and 0.25 respectively, then power of the test is--

If odds against solving a question by three students are 2:1, 5:2, and 5:3, respectively, then probability that the question is solved only by one student is

The probability that a student entering a university will gradute is 0.4. Find the probability that out of 3 students of the university all will gradute.

The probabilities that three students Subhas, Monisha and Satabdi can solve a problem independently are p, q and r respectively. The chance that only one of the three students solve the problem is -

The probabilities that three students Subhas, Monisha and Satabdi can solve a problem independently are p, q and r respectively. The chance that exactly two of the three students solve the problem is -

In on examination the probability of a student passed in physics is 2/3 , passed in both English,and physics is 14/45, If the probability of passing at least one subject is4/5 , find the probability of passing in English?

It is given that in a group of 3 students, the probability of 2 students not having the same birthday is 0.992. What is the probability that the 2 students have the same birthday?

CENGAGE PUBLICATION-PROBABILITY-All Questions
  1. evaluate: int0^(pi/2) (cos^(3/2)x)/(sin^(3/2)x+cos^(3/2)x)dx

    Text Solution

    |

  2. A is targeting to B, B and C are targeting to A. Probability of hittin...

    Text Solution

    |

  3. A student appears for tests I, II and III. The student is considered s...

    Text Solution

    |

  4. If Ma n dN are any two events , the probability that exactly one of th...

    Text Solution

    |

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

    Text Solution

    |

  6. If A ,B ,C be three mutually independent events, then Aa n dBuuC are a...

    Text Solution

    |

  7. Let E be an event which is neither a certainty nor an impossibility. I...

    Text Solution

    |

  8. A student can solve 2 out of 4 problems of mathematics, 3 out of 5 pro...

    Text Solution

    |

  9. An unbiased cubic die marked with 1,2,2,3,3,3 is rolled 3 times. The p...

    Text Solution

    |

  10. A bag contains 3 red and 3 green balls and a person draws out 3 at ...

    Text Solution

    |

  11. The probability that an automobile will be stolen and found within one...

    Text Solution

    |

  12. A pair of numbers is picked up randomly (without replacement) from the...

    Text Solution

    |

  13. A dice is thrown six times, it being known that each time a different ...

    Text Solution

    |

  14. A composite number is selected at random from the first 30 natural num...

    Text Solution

    |

  15. A bag contains 20 coins. If the probability that the bag contains e...

    Text Solution

    |

  16. A doctor is called to ses a sick child. The doctor knows (prior to the...

    Text Solution

    |

  17. There are two bags each containing 10 books all having different title...

    Text Solution

    |

  18. A bag contain n white and n black balls, all of equal size. Balls are ...

    Text Solution

    |

  19. From an urn containing a white and b black balls, k balls are drawn an...

    Text Solution

    |

  20. Suppose Aa n dB shoot independently until each hits his target. They h...

    Text Solution

    |