Home
Class 12
MATHS
A family has two children. What is the p...

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 ?

Text Solution

Verified by Experts

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

Topper's Solved these Questions

  • PROBABILITY

    NCERT TAMIL|Exercise EXERCISE 3.1|17 Videos
  • PROBABILITY

    NCERT TAMIL|Exercise EXERCISE 3.2|18 Videos
  • ORDINARY DIFFERENTIAL EQUATIONS

    NCERT TAMIL|Exercise EXERCISE 10.9|25 Videos
  • PROBABILITY DISTRIBUTIONS

    NCERT TAMIL|Exercise EXERCISE 11.6 (Choose the Correct )|19 Videos

Similar Questions

Explore conceptually related problems

A couple has two children. Find the probability that (i) both the children are boys, if it is known that the older child is a boy. (ii) both the children are girls, if it is known that the older child is a girl.

A couple has two children. Find the probability that both children are males, if it is known that atleast one of the children is male. ii. Find the probability that both children are females, if it is known that the eIder chiId is a female.

Assume that each born child is equally likely to be a boy or a girl. If a family has two childeren what is the conditional probability that both gives both are girls given that i. the youngest is a girl ii. Atleast one is a girl

Assume that each born child is equally likely to be a boy or a girl. If two families have two children each, then the conditional probability that all children are girls given that at least two are girls , is

In a two children family, find the probability that there is at least one girl in a family.

The probability that a new railway bridge will get an award for its design is 0.48, the probability that it will get an award for the efficient use of materials is 0.36, and that it will get both awards is 0.2. What is the probability, that (i) it will get at least one of the awards (ii) it will get only one of the awards.

There are 40 students in Class X of a school of whom 25 are girls and 15 are boys. The class teacher has to select one student as a class representative. She writes the name of each student on separate cards, the cards being identical. Then she puts cards in a box and stirs them thoroughly. She then draws one card from the box. What is the probability that the name written on the card is the name of (i) a girl? (ii) a boy?

The probability that a new railway bridge will get an award for its design is 0.48 , the probability that it will get an award for the efficient use of materials is 0.36 , and that it will get both awards is 0.2 . What is the probability , that (i) it will get at least one of the two awards (ii) it will get only one of the awards.

Three boys and two girls stand in a queue. The probability, that the number of boys ahead is at least one more than the number of girls ahead of her, is

NCERT TAMIL-PROBABILITY-MISCELLANEOUS EXERCISE ON CHAPTER 13
  1. A family has two children. What is the probability that both the child...

    Text Solution

    |

  2. A and B are two events such that P(A) ne 0. Find P(B/A) if (i) A is a ...

    Text Solution

    |

  3. A couple has two children. Find the probability that both children are...

    Text Solution

    |

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

    Text Solution

    |

  5. Suppose that 90% of people are right- handed. What is the probability ...

    Text Solution

    |

  6. An urn contains 25 balls of which I0 balls bear a mark 'X' and remaini...

    Text Solution

    |

  7. In a hurdle race, a player has to cross 10 hurdles. The probability th...

    Text Solution

    |

  8. A die is thrown again and again until three sixes are obtained. Find t...

    Text Solution

    |

  9. If a leap year is selected at random, what is the chance that it will ...

    Text Solution

    |

  10. An experiment succeeds twice as often as it fails. Find the probabilit...

    Text Solution

    |

  11. How many times must a man toss a fair coin so that the probability of ...

    Text Solution

    |

  12. In a game, a man wins a rupee for a six and loses a rupee for any othe...

    Text Solution

    |

  13. Suppose we have four boxes A, B, C and D containing coloured marbles a...

    Text Solution

    |

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

    Text Solution

    |

  15. If each element of a second order determinant is either zero or one, w...

    Text Solution

    |

  16. An electronic assembly consists of two sub-systems, say, A and B. From...

    Text Solution

    |

  17. Bag I contains 3 red and 4 black balls and Bag II contains 4 red and 5...

    Text Solution

    |

  18. Choose the correct answer: If A and B are two events such that P(A) ...

    Text Solution

    |

  19. Choose the correct answer: If P(A|B) gt P(A), then which of the foll...

    Text Solution

    |

  20. Choose the correct answer: If A and B are any two events such that P...

    Text Solution

    |