Home
Class 12
MATHS
The probabilities that a student passes ...

The probabilities that a student passes in Mathematics, Physics and Chemistry are m, p and c respectively. Of these subjects the student has 75% chance of passing in at least one subject, 50% chance of passing in at least two and 40% chance of passing in exactly two. which is true?

A

`p+m+c=19/20`

B

`p+m+c=27/20`

C

`pmc=1/3`

D

`pmc=1/7`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • PROBABILITY

    MCGROW HILL PUBLICATION|Exercise Exercises (Level 2 Single Correct Answer)|12 Videos

  • PROBABILITY

    MCGROW HILL PUBLICATION|Exercise Exercises (Numerical Answer)|28 Videos

  • PROBABILITY

    MCGROW HILL PUBLICATION|Exercise Exercises (Single Correct Answer)|10 Videos

  • PERMUTATIONS AND COMBINATIONS

    MCGROW HILL PUBLICATION|Exercise Questions from Previous Years. B-Architecture Entrance Examination Papers |17 Videos

  • PROGRESSIONS

    MCGROW HILL PUBLICATION|Exercise Questions from Previous Years. B-Architecture Entrance Examination Papers|25 Videos

Similar Questions

Explore conceptually related problems

The probability that a candidate selected in competitive examinations of B.S.F., C.D.S., Bank P.O. and a, b and c respectively. Of these examinations, a candidate has 70% chance of selection in at least one, 50% chance of selection in at least two and 30% chance of selection in exactly two examinations. If a+b+c=I/m , then find l+m if LCM (m)=1 .

A survey shows that 69% students like mathematics, whereas 75% like chemistry. If x% students like both the subjects, then the maximum value of x is

The chances to fail in Physis are 20% and the chances to fail in Mathematics are 10%. What are the chances to fail in atleast one subject ?

The probability that a student will pass in Mathematics is 3/5 and the probability that he will pass in English is 1/3. If the probability that he will pass in both Mathematics and English is 1/8, what is the probability that he will pass in at least one subject?

The probability that a candidate passes in physics is 70% and that he passes in chemistry is 40%. What is the probability that the candidate passes in any one of the two subjects?

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.

MCGROW HILL PUBLICATION-PROBABILITY-Exercises (Level 1 Single Correct Answer)
  1. If E and F are events with P(E) le P(F) and P(E nn F) gt 0, then

    Text Solution

    |

  2. If the integers m and n are chosen at random between 1 and 100, then t...

    Text Solution

    |

  3. The probabilities that a student passes in Mathematics, Physics and Ch...

    Text Solution

    |

  4. One ticket is selected at random from 100 tickets numbered 00, 01, 02,...

    Text Solution

    |

  5. A mapping is select at random from the set of all the mappings of t...

    Text Solution

    |

  6. A natural number is chosen at random from the first 100 natural num...

    Text Solution

    |

  7. A bag contains (2n+1) coins. It is known that n of these coins have a ...

    Text Solution

    |

  8. If X and Y are independent binomial vatiates B(5,1/2) and B(7,1/2) and...

    Text Solution

    |

  9. Suppose n (ge 3) persons are arranged in a row. The probability that t...

    Text Solution

    |

  10. A number x is chosen at random from the set {1, 2, 3, ...., 100). Let ...

    Text Solution

    |

  11. If the letters of the word PROBABILITY are written down at random in a...

    Text Solution

    |

  12. If four positive integers are taken at random and multiplied together,...

    Text Solution

    |

  13. Two contestants play a game as follows: each is asked to select a digi...

    Text Solution

    |

  14. If A and B are two events, then which of the following does not repres...

    Text Solution

    |

  15. If A and B are two events, then which one of the following is/are alwa...

    Text Solution

    |

  16. A sum of money is rounded off to the nearest rupee, find the probabili...

    Text Solution

    |

  17. An electric bulb will last for 150 days or with a probability 0.7 and ...

    Text Solution

    |

  18. In a bag there are three tickets numbered 1,2,3. A ticket is drawn at ...

    Text Solution

    |

  19. Two natural numbers x and y are chosen at random from the set {1,2,3,4...

    Text Solution

    |

  20. Three persons A, B and C are to speak at a function along with 7 other...

    Text Solution

    |