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,what is the conditional probability that both are girls given that
atleast one is a girl

Text Solution

Verified by Experts

Let C be the event taht out of the two children in the family atleast one is a girl.Then C={GB,BG,GG}.`rArr AnnC={GG}`
therefore `P(AnnC)`=1/4and P (C)=3/4
Hence,the requried probability
Promotional Banner

Topper's Solved these Questions

  • MATRICES

    A N EXCEL PUBLICATION|Exercise QUESTION BANK|128 Videos

  • RELATIONS AND FUNCTIONS

    A N EXCEL PUBLICATION|Exercise QUESTION BANK|86 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,what is the conditional probability that both are girls given that the youngest is a girl

A family has two children.What is the probability that both the children are boys given that at least one of them is a boy?

A family has two children. What is the probability that both the children are boys given that at least one of them is a boy?

In a school, there are 1000 students, out of which 430 are giris. It is known that out of 430 , '10 %' of the girls study in class XII. What is the probability that a student chosen randomly studies in clașs XIl given that the chosen student is a girl?

Given three identical boxes I, II and III, each containing two cọins. In box 1 , both coins are gold coins, in box II, both are silver coins and in the box III, there is one gold and one silver coin. A person chooses a box at random and takes out a coin. If the coin is of gold, what is the probability that the other coin in the box is also of gold?

An experiment consists of recording boy - girl composition of families with two children what is the sample space if we are interested in the number of girls in thye family?

A N EXCEL PUBLICATION-PROBABILITY-QUESTION BANK
  1. A fair die is rolled. Consider the events E={1,3,5}, F = {2,3} and G...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  4. An instructor has a question bank consisting of 300 easy True/False qu...

    Text Solution

    |

  5. Given that the two numbers appearing on throwing two dice are differen...

    Text Solution

    |

  6. Consider the experiment of throwing a die,if a multiple of 3 comes up,...

    Text Solution

    |

  7. Choose the correct answer.If P (A)=1/2," "P(B)=0," "then " "P(A/B)is

    Text Solution

    |

  8. If P (A) =6/11,P(B)=5/11and P(AuuB)=7/11,find P(A/B) Choose the cor...

    Text Solution

    |

  9. A bag contains 8 red and 5 white balls.Three balls are drawn at random...

    Text Solution

    |

  10. A bag contains 8 red balls and 5 white balls. Two successive draws of ...

    Text Solution

    |

  11. A bag contains 8 red balls and 5 white balls. Two successive draws of ...

    Text Solution

    |

  12. A bag contains 5 white balls and 3 black balls. Two balls are drawn at...

    Text Solution

    |

  13. A bag contains 5 white balls and 3 black balls. Two balls are drawn at...

    Text Solution

    |

  14. A bag contains 5 white balls and 3 black balls. Two balls are drawn at...

    Text Solution

    |

  15. One bag contains 5 white and 3 black balls. Another bag contains 7 whi...

    Text Solution

    |

  16. A die thrown.If E is the event 'the number appearing is a multiple of ...

    Text Solution

    |

  17. Two dice are thrown.If A is the event of getting the sum of the number...

    Text Solution

    |

  18. If P(A) =3/5 and P(B)=1/5,find P(AnnB) if A and B are independent eve...

    Text Solution

    |

  19. Two cards are drawn at random . Without replacement from a pack of 52 ...

    Text Solution

    |

  20. A box of oranges is inspected by examining three randomly selected ora...

    Text Solution

    |