Home
Class 12
MATHS
In a certain college, 25% of the boys an...

In a certain college, 25% of the boys and 10% of the girls are studying mathematics.
The girls constitute 60% of the student strength. If a student selected at random is found studying mathematics, find the probability that the students is a girl.

Text Solution

Verified by Experts

The correct Answer is:
`=(3)/(8).`
Promotional Banner

Topper's Solved these Questions

  • PROBABILITY

    VIKRAM PUBLICATION ( ANDHRA PUBLICATION)|Exercise DAM SURE|13 Videos
  • PROBABILITY

    VIKRAM PUBLICATION ( ANDHRA PUBLICATION)|Exercise EXERCISE-9(b)|24 Videos
  • PERMUTATIONS AND COMBINATIONS

    VIKRAM PUBLICATION ( ANDHRA PUBLICATION)|Exercise TAXTUAL EXERCISES|73 Videos
  • QUADRATIC EXPRESSIONS

    VIKRAM PUBLICATION ( ANDHRA PUBLICATION)|Exercise TEXTUAL EXERCISES|68 Videos

Similar Questions

Explore conceptually related problems

In a certain college, 25% of the boys and 10% of the girls are studying mathematics. The girls constitute 60% of the student strength. If a student selected at radom is found studying mathematics, find the probability that the student is a girl.

(i) A shop-keeper buys a particular type of electric bulbs from three manfacturers M_(1) , M_(2) and M_(3) . He buys 25% of his requirement from M_(1) , 45% from M_(2) and 30% from M_(3) . Based on the past experience, he found that 2% of type M_(3) bulbs are defective, where as only 1% of type M_(1) and Type M_(2) are defective . If a bulb chosen by him at random is found defective find the probability that it was of type M_(3) . (ii) In a certain college, 25% of the boys and 10% of the girls are studying mathematics. The girls constitute 60% of the student strength . If a student is selected at random is found studying mathematics, find the probability that the student is a girl.

In a certain colleage, 4% of men and 1% of women are taller than 1.8m. Also, 60% of students are women. If a student selected at random is found to be taller than 1.8 m, then the probability that the student being a woman is

A class has 15 boys and 5 girls. Suppose three students are selected at random from the class. Find the probability that they are all boys.

In a classroom 5% of the boys and 2% of the girls taller than 1.6 m. The class consists of 60% girl student. The probability that a randomly selected student is taken than 1.6 m is

VIKRAM PUBLICATION ( ANDHRA PUBLICATION)-PROBABILITY-Exercise -9 ( c)
  1. A and B are two independent events such that the probability of the bo...

    Text Solution

    |

  2. A fair die is rolled. Consider the events. A={1,3,5},B={2,3} and C =...

    Text Solution

    |

  3. If A,B,C are three events in a random experiment, Prove the following....

    Text Solution

    |

  4. If A,B,C are three events in a random experiment, Prove the following....

    Text Solution

    |

  5. If A,B,C are three events in a random experiment, Prove the following....

    Text Solution

    |

  6. If A,B,C are three events in a random experiment, Prove the following....

    Text Solution

    |

  7. If A,B are mutually exclusive and P(B)gt0 " then "P((A)/(B))=0.

    Text Solution

    |

  8. If A,B, are ,mutually exclusive then P(A//B^(C))=(p(A))/(1-P(B))," w...

    Text Solution

    |

  9. If A,B are mutually exclusive and P(AcupB)ne0 then p((A)/(AcupB))=(P...

    Text Solution

    |

  10. Suppose that a coin is tossed three times. Let A be "getting three hea...

    Text Solution

    |

  11. Suppose that an unbaised pair of dice is rolled. Let A denote the even...

    Text Solution

    |

  12. Prove that A and B are independent events if and only if P((A)/(B))=P(...

    Text Solution

    |

  13. Suppose A and B are independent events with P(A)=0.6, P(B)=0.7 then co...

    Text Solution

    |

  14. The probability that Australia wins a match against India in a cricket...

    Text Solution

    |

  15. A person secures a job in a construction company in which the probabi...

    Text Solution

    |

  16. For any two events A,B shows that P(AcapB)-P(A)P(B)=P(A^(C))P(B)-P(A...

    Text Solution

    |

  17. Three Urns have the following composition of balls. Urn I : 1 white,...

    Text Solution

    |

  18. In a shooting test the probability of A,B,C hitting the targets are (1...

    Text Solution

    |

  19. In a certain college, 25% of the boys and 10% of the girls are studyin...

    Text Solution

    |

  20. 4 A person is known to speak truth 2 out of 3 times. He throws a die a...

    Text Solution

    |