Home
Class 12
MATHS
In a certain college, 4% of boys and ...

In a certain college, 4% of boys and 1% of girls are taller than 1.75 metres. Furthermore, 60% of the students in the college are girls. A student is selected at random from the college and is found to be taller than 1.75 metres. Find the probability that the selected student is a girl.

Text Solution

Verified by Experts

A= shows height of the student is more than `1.75 m`,

` E_1`= shows selected student is a girl

` E_{2} `= selected student is a boy

`therefore P(E_{1})=frac{60}{100} `

` P(E_{2})=frac{40}{100}`

`P(A / E_{1})=frac{1}{100} `

` ...
Promotional Banner

Topper's Solved these Questions

  • MEAN VALUE THEOREMS

    RD SHARMA|Exercise Solved Examples And Exercises|110 Videos
  • RELATIONS

    RD SHARMA|Exercise Solved Examples And Exercises|197 Videos

Similar Questions

Explore conceptually related problems

In a class, 5% of the boys and 10% of the girls have an IQ of more than 150. In this class 60% of the students are boys. If a student is selected at random and found to have an IQ of more than 150, find the probability that the student is a boy.

In a college, 25% of the boys and 10% of the girls offer mathematics. The girls constitute 60% of the total number of strudents. If a student is selected at random and is found to be studying Mathematics. The probability that the student is a girl is

In a class of 50 students, 20 are boys and rest are girls. A student is selected at random. Find the probability of selecting a boy.

In a school 8% of the girls and 2% of the boys have intelligent quotient of more than 120 .In the school 60% of the students are girls.A student with intelligent quotient of more than 120 is selected.Find the probability that the student is a girl.

There are 60 boys and 40 girls in a class.A student is selected at random.Find the probability that student is a girl.

In a college , the ratio of the number of boys to girls is 8:5 . If there are 160 girls . Find the total number of students in the college is :

RD SHARMA-PROBABILITY-Solved Examples And Exercises
  1. There are three coins. One is two headed coin (having head on both ...

    Text Solution

    |

  2. Three urns, A, B, and C contain 6 red and 4 white ; 2 red and 6 white;...

    Text Solution

    |

  3. In a certain college, 4% of boys and 1% of girls are taller than 1....

    Text Solution

    |

  4. An insurance company insured 2000 scooters and 300 motorcycles. The ...

    Text Solution

    |

  5. Of the students in a college, it is known that 60% reside in a hostel ...

    Text Solution

    |

  6. There are three coins. One is a two headed coin (having head on both ...

    Text Solution

    |

  7. Assume that the chances of a patient having a heart attack is 40%. A...

    Text Solution

    |

  8. A test for detection of a particular disease is not fool proof. The ...

    Text Solution

    |

  9. Let d1, d2, d3 be three mutually exclusive diseases. Let S be the set ...

    Text Solution

    |

  10. A laboratory blood test is 99% effective in detecting a certain diseas...

    Text Solution

    |

  11. A four digit number is formed using the digits 1, 2, 3, 5 with no re...

    Text Solution

    |

  12. When three dice are thrown, write the probability of getting 4 or 5 o...

    Text Solution

    |

  13. Three digit numbers are formed with the digits 0,2,4,6 and 8. Write th...

    Text Solution

    |

  14. A ordinary cube has four plane faces, one face marked 2 and another ...

    Text Solution

    |

  15. Three numbers are chosen from 1 to 20. Find the probability that they ...

    Text Solution

    |

  16. 6 boys and 6 girls sit in a row at random. Find the probability that ...

    Text Solution

    |

  17. If A and B are two independent events such that P(A)=0. 3 and P(AuuB'...

    Text Solution

    |

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

    Text Solution

    |

  19. If A and B are two events write the expression for the probability of ...

    Text Solution

    |

  20. Write the probability that a number selected at random from the set of...

    Text Solution

    |