Home
Class 14
MATHS
In an examination, there are 500 student...

In an examination, there are 500 students, 150 passed the first paper and 350 passed the second paper. 50 students passed both the papers. Find the probability that a student selected at random has failed in both the papers.

A

A) `1//5`

B

B) `1//10`

C

C) `3//10`

D

D) `3//5`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • PROBABILITY

    DISHA PUBLICATION|Exercise TEST YOURSELF|15 Videos

  • PROBABILITY

    DISHA PUBLICATION|Exercise PRACTICE EXERCISE (STANDARD LEVEL)|65 Videos

  • PERMUTATIONS AND COMBINATIONS

    DISHA PUBLICATION|Exercise TEST YOURSELF|15 Videos

  • PROFIT, LOSS AND DISCOUNT

    DISHA PUBLICATION|Exercise Test Yourself|15 Videos

Similar Questions

Explore conceptually related problems

100 students appeared for two tests, 60 passed the first, 50 passed the second and 30 passed both. Probability that a student selected at random has failed in both tests is

100 students appeared for two examinations.60 passed the first,0 passed the second and 30 passed both.Find the probability that a student selected at random has passed at least one examination.

If there are 50 students in a class out of which 35 are boys.if only 60% of students passes in an exmination then find the probability that a student selected at random will be a girl who has passed the exam.

In a class of 125 students 70 passed in Mathematics,55 in statistics,and 30 in both. Then find the probability that a student selected at random from the class has passes in only one subject.

In an examination 30% of the students failed in Physics, 25% in Mathematics and 12% in both Physics and Mathematics. A student is selected at random. Find the probability that the student has failed in Physics, if it is known that he has failed in Mathematics. (ii) the student has failed at least one of the two subjects (ii) the student has passed at least one of the two subjects (iv) the student has passed in Mathematics if he failed in Physics.

Read the following information carefully and answer the questions given below- 1000 students appeared in an examination Out of which 275 students passed in physics, 320 students passed in chemistry and 350 students passed in mathematics. 84 students passed in both chemistry and mathematics 60 students passed in both physics and mathematics, 50 students passed in both physics and chemistry and 34 students passed in all the three subjects. What is the ratio of students passed in physics and mathematics to the number of students passed in physics and chemistry?

Read the following information carefully and answer the questions given below- 1000 students appeared in an examination Out of which 275 students passed in physics, 320 students passed in chemistry and 350 students passed in mathematics. 84 students passed in both chemistry and mathematics 60 students passed in both physics and mathematics, 50 students passed in both physics and chemistry and 34 students passed in all the three subjects. What is the percentage of students who passed in only one subject ?

Read the following information carefully and answer the questions given below- 1000 students appeared in an examination Out of which 275 students passed in physics, 320 students passed in chemistry and 350 students passed in mathematics. 84 students passed in both chemistry and mathematics 60 students passed in both physics and mathematics, 50 students passed in both physics and chemistry and 34 students passed in all the three subjects. What is the number of students who passed in at least two subjects ?

DISHA PUBLICATION-PROBABILITY-PRACTICE EXERCISE (EXPERT LEVEL)
  1. There are 6 positive and 8 negative numbers. Four numbers are chosen a...

    Text Solution

    |

  2. The probability of getting 10 in a single throw of a dice is

    Text Solution

    |

  3. In an examination, there are 500 students, 150 passed the first paper ...

    Text Solution

    |

  4. A, B and C shoot to hit a target. If A hits the target 4 times in 5 tr...

    Text Solution

    |

  5. A bag contains 5 red and 4 green balls and another bag contains 3 red ...

    Text Solution

    |

  6. A MNC has two Grids - Grid I and Grid II. Out of 5 Directors and 4 Gen...

    Text Solution

    |

  7. Two dies are thrown n times in succession. The probability of obtainin...

    Text Solution

    |

  8. Two cards are drawn from a well shuffled deck of 52 cards.The probabil...

    Text Solution

    |

  9. Each of two persons tosses three fair coins. The probability that they...

    Text Solution

    |

  10. There are three evens E(1),E(2)and E(3) one of which must, and only on...

    Text Solution

    |

  11. If A and B are two events, the probability that at most one of these e...

    Text Solution

    |

  12. Aa n dB are two independent events. The probability that both Aa n dB ...

    Text Solution

    |

  13. In each of a set of games it is 2 to 1 in favour of the winner of the ...

    Text Solution

    |

  14. Given two bags A and B as follows : Bag A contains 3 red and 2 white b...

    Text Solution

    |

  15. A positive integer N is selected such that 100ltNlt200. The probabilit...

    Text Solution

    |

  16. If three vertices of a regular hexagon are chosen at random, then the ...

    Text Solution

    |

  17. Two dice are thrown. The probability that the sum of the numbers comin...

    Text Solution

    |

  18. If (1+4p)/4,(1-p)/2and(1-2p)/2 are the probabilities of three mutually...

    Text Solution

    |

  19. The probability of getting 10 in a single throw of three fair dice is

    Text Solution

    |

  20. Twelve balls are placed in three boxes. The probability that the first...

    Text Solution

    |