Home
Class 12
MATHS
In a group of 400 people, 160 are smoker...

In a group of 400 people, 160 are smokers and non-vegetarian, 100 are smokers and vegetarian and the remaining are non-smokers and vegetarian. The probabilities of getting a special chest disease are 35%, 20% and 10% respectively. A person is chosen from the group at random and is found to be suffering from the disease. What is the probability that the selected person is smoker and non vegetarian ?

Text Solution

Verified by Experts

The correct Answer is:
`(28)/(45)`
Promotional Banner

Topper's Solved these Questions

  • PROBABILITY

    ACCURATE PUBLICATION|Exercise SAMPLE QUESTION PAPER -I ( SOLVED ) ( SECTION -A)|32 Videos

  • PROBABILITY

    ACCURATE PUBLICATION|Exercise SAMPLE QUESTION PAPER -I ( SOLVED ) ( SECTION -B)|6 Videos

  • PROBABILITY

    ACCURATE PUBLICATION|Exercise Questions Carrying Type -III ( TRUE OR FALSE QUESTIONS ) |21 Videos

  • MATRICES

    ACCURATE PUBLICATION|Exercise QUESTIONS CARRYING 6 MARKS |4 Videos

  • RELATION AND FUNCTIONS

    ACCURATE PUBLICATION|Exercise QUESTIONS CARRYING 1 MARK - TYPE-III|11 Videos

Similar Questions

Explore conceptually related problems

40% students of a college reside in hostel and the remaining reside outside. At the end of the year, 50% of the hostlers got A grade while from outside students, 30% got A grade in the examination. At the end of the year, a student of the college was chosen at random and was found to have gotten A grade. What is the probability that the selected student was a hostler ?

From the employees of a company, 5 persons are selected to represent them in the managing committee of the company. Particulars of five persons are as follows: A person is selected at random from this group to act as a spokesperson. What is the probability that the spokesperson will be either male or over 35 years ?

Suppose that 6% of the perons with blood group O are left handed and 10% of those with other blood groups are left handed. It is given that 30% of the persons have blood group O. if a left handed person is selected at random. What is the probability that the person has blood group O.

A university has to select an examiner from a list of 50 persons, 20 of them are women and 30 men, 10 of them knowing Hindi and 40 not, 15 of them being teacher and the remaining 35 not. What is the probability of the two university selecting a Hindi knowing women teacher?

There is a group of 50 people who are patriotic out of which 20 believe in non-violence. Two persons are selected at random out of them, write the probability distribution for the selected persons who are non-violent. Also find the mean of the distribution. Explain the importance of non-violence in patriotism.

Suppose that the reliability of a HIV test is specified as follows: Of people having HIV, 90% of the test detect the disease but 10% go undetected. Of people free of HIV, 99% of the test are judged HIV–ive but 1% are diagnosed as showing HIV+ive. From a large population of which only 0.1% have HIV, one person is selected at random, given the HIV test, and the pathologist reports him/her as HIV+ive. What is the probability that the person actually has HIV?

ACCURATE PUBLICATION-PROBABILITY -Questions Carrying Type - 4 marks
  1. 40% students of a college reside in hostel and the remaining reside ou...

    Text Solution

    |

  2. Suppose that 5% of men and 0.25% of women have grey hair. A grey haire...

    Text Solution

    |

  3. Assume that the chances of a patient having a heart attack is 40%. It ...

    Text Solution

    |

  4. Suppose a girl throws a die. If she gets a 5 or 6, she tosses a coin t...

    Text Solution

    |

  5. A card from a pack of 52 cards is lost. From the remaining cards of th...

    Text Solution

    |

  6. A man is known to speak the truth 4 times out of 5 times. He throws a ...

    Text Solution

    |

  7. There see three coins,one is a two headed coin (having head on both th...

    Text Solution

    |

  8. In a factory which manufactures bolts, machines A, B and C manufacture...

    Text Solution

    |

  9. An insurance company insured 2000 scooter drivers, 4000 car drivers an...

    Text Solution

    |

  10. In a group of 400 people, 160 are smokers and non-vegetarian, 100 are ...

    Text Solution

    |

  11. A random variable X has the following probability distribution: D...

    Text Solution

    |

  12. Two cards are drawn successively with replacement from a well-shuffled...

    Text Solution

    |

  13. A urn contains 4 white and 6 red balls. Four balls are drawn at random...

    Text Solution

    |

  14. From a lot of 10 bulbs which include 3 defectives, a sample of 2 bulbs...

    Text Solution

    |

  15. Find the probability distribution of number of doublets in three throw...

    Text Solution

    |

  16. In a group of 30 scientists working on an experiment, 20 never commit ...

    Text Solution

    |

  17. Find the probability distribution of number of doublets in three throw...

    Text Solution

    |

  18. Two cards are drawn successively with repalcement from a well-shuffled...

    Text Solution

    |

  19. Three cards are drawn successively with replacement from a well shuffl...

    Text Solution

    |

  20. A class has 15 students whose ages are 14, 17, 15, 14, 21, 17, 19, 20,...

    Text Solution

    |