Home
Class 12
MATHS
Assume that each born child is equally l...

Assume that each born child is equally likely to be a boy or a girl. If a family has two children, then what is the conditional probability that both are girls, given that
atleast one is a girl?

Text Solution

Verified by Experts

The correct Answer is:
`1/3`
Promotional Banner

Topper's Solved these Questions

  • PROBABILITY

    ARIHANT PUBLICATION|Exercise PART II (QUESTION FOR PRACTICE ) VERY SHORT ANSWER TYPE QUESTIONS |6 Videos
  • PROBABILITY

    ARIHANT PUBLICATION|Exercise PART II (QUESTION FOR PRACTICE ) SHORT ANSWER TYPE QUESTIONS |18 Videos
  • PROBABILITY

    ARIHANT PUBLICATION|Exercise PART I (QUESTION FOR PRACTICE ) VERY SHORT ANSWER TYPE QUESTIONS|16 Videos
  • MATRICES

    ARIHANT PUBLICATION|Exercise CHAPTER PRACTICE (Very Short Answer Type Questions) |56 Videos
  • QUESTION PAPER 2018

    ARIHANT PUBLICATION|Exercise SHORT ANSWER TYPE QUESTIONS (ANSWER ANY THREE QUESTIONS)|38 Videos

Similar Questions

Explore conceptually related problems

Assume that each born child is equally likely to be a boy or a girl. If a family has two children, then what is the conditional probability that both are girls? given that (i) the youngest is a girl.

Assume that in a family, each child is equally likely to be a boy or a girl. A family with three children is chosen at random. Find the probability that the eldest child is girl, given that the family has atleast one girl.

There are two children in a family. What is the probability that both of them are boys?

A man has three children out of them atleast one is boy, then find the probability that he has two boys and one girl.

Five boys and four girls randomly stand in a line. Find the probability that no two girls come together.

Five boys and four girls randomly stand in a line. Find the probability that no two girls come together.

A class consists of 25 boys and 15 girls. If a committee of 6 is to be chosen at random, find the probability there is at least one girl in the committee

ARIHANT PUBLICATION-PROBABILITY-PART I (QUESTION FOR PRACTICE ) SHORT ANSWER TYPE QUESTIONS
  1. If A and B are two events such that P(A) = 0.6, P(B)= 0.5 and P(A nn B...

    Text Solution

    |

  2. A and B are two events. If P(A) = (3)/(8), P(B) = (1)/(2) and P(A nn B...

    Text Solution

    |

  3. A and B are two events. If P(A) = (3)/(8), P(B) = (1)/(2) and P(A nn ...

    Text Solution

    |

  4. If P(A)=2/5,P(B)=3/10 and P(A cap B)=1/5 then find (P(A//B))/(P(B//A...

    Text Solution

    |

  5. If A and B are two events such that P(A)=1/2 P(B) P(B)=1/3 and P(A ...

    Text Solution

    |

  6. If P(B)=3/5,P(A//B)=1/2 and P(A cupB)=4/5 then find P(A cupB)+P(A cap...

    Text Solution

    |

  7. If A and B are two events such that P(A)=1/2, P(B)=1/3 and P(A capB...

    Text Solution

    |

  8. Two integers are selected at random from integers 1 to 11. If the sum ...

    Text Solution

    |

  9. 10% of the bulbs produced in a factory are of red colour and 2% are re...

    Text Solution

    |

  10. In a college, 70% students pass in Physics, 75% students pass in Mathe...

    Text Solution

    |

  11. In a college, 70% students pass in Physics, 75% students pass in Mathe...

    Text Solution

    |

  12. In a college, 70% students pass in Physics, 75% students pass in Mathe...

    Text Solution

    |

  13. An instructor has a question bank consisting of 300 easy true/false qu...

    Text Solution

    |

  14. Assume that each born child is equally likely to be a boy or a girl. I...

    Text Solution

    |

  15. Assume that each born child is equally likely to be a boy or a girl. I...

    Text Solution

    |

  16. Assume that in a family, each child is equally likely to be a boy or a...

    Text Solution

    |

  17. If E, F and G are events in sample space S, with G4 ne phi then prove...

    Text Solution

    |

  18. If E, F and G are events in sample space S, with G4 ne phi then prove...

    Text Solution

    |

  19. If P(A) = 0.4, P(B//A) = 0.3 and P(B^(c)/A^(c)) = 0.2. Find P(B).

    Text Solution

    |

  20. The probability that student will pass the final examination in both E...

    Text Solution

    |