Home
Class 12
MATHS
What is the probability that in a family...

What is the probability that in a family of 4 children there will be at least one boy ?

A

`15/16`

B

`3/8`

C

`1/16`

D

`7/8`

Text Solution

Verified by Experts

The correct Answer is:
A

Total possibility of 4 children, either girl or boy is `2^(4) = 16`. Out of these there is one possibility in which there will be no boy and only girls. So, total possibility of at least one boy is 16 - 1 = 15
`rArr` P(at least one boy) `= 15/16`.
Promotional Banner

Topper's Solved these Questions

  • POLYNOMIAL,QUADRATIC EQUATION & INEQUALITIES

    NDA PREVIOUS YEARS|Exercise Math|170 Videos
  • PROPERTIES OF TRIANGLE, INVERSE TRIGONOMETRIC FUNCTION

    NDA PREVIOUS YEARS|Exercise MCQ|103 Videos

Similar Questions

Explore conceptually related problems

The probability that in a family of four children,there will be atleast one boj is (A) (1)/(16)(B)(3)/(16) (C) (13)/(16) (D) (14)/(16)

In a family of 3children the probability of having at least one boy is

In a family of 3 children, find the probability of having at least one boy.

Probability that in a family of 5 children there will be exactly 3 male children assume boy and girl child are equally likely

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 atleast one of them is a boy?

What is the probability that the male progeny will be a boy?

The following data shows the relation between the number of families and number of children they have. What is the probability of a family chosen at random having at least two children?

If birth to amale child and birth to a femal child are equal probable, then what is the probability that at least one of the three children born to a couple is male?

A family has 2 children. Find the probability that both are boys, if it is known that: (i) at least one of the children is a boy,            (ii) the elder child is a boy.

NDA PREVIOUS YEARS-PROBABILITY AND PROBABILIYT DISTRIBUTION-Multiple Choice Question
  1. A, B are two events and bar(A) denotes the complements of A. Consider ...

    Text Solution

    |

  2. Six text books numbered 1, 2, 3, 4, 5 and 6 are arranges at random. Wh...

    Text Solution

    |

  3. What is the probability that in a family of 4 children there will be a...

    Text Solution

    |

  4. In a school there are 40 % science students and the remaining 60 % ar...

    Text Solution

    |

  5. Given P(A uu B) = 5/6, P(A nn B) = 1/3 and P(bar(B)) = 1/2. What is P(...

    Text Solution

    |

  6. The outcomes of 5 tosses of a coin are recorded in a single sequence a...

    Text Solution

    |

  7. Which of the following numbers is nearest to the probability that thre...

    Text Solution

    |

  8. One bag contains 5 white balls and 3 black balls and a second bag cont...

    Text Solution

    |

  9. If P(A) =0.8, P(B) = 0.9, P(A nn B) = p, which one of the following is...

    Text Solution

    |

  10. The following questions consist of two statements, one labelled as the...

    Text Solution

    |

  11. The chance of winning the race of the horse A is 1/5 and that of horse...

    Text Solution

    |

  12. What is the probability of two persons being born on the same day ?

    Text Solution

    |

  13. A coin is tossed. If a head is observed, a number is randomly selected...

    Text Solution

    |

  14. Consider the following statements related to the nature of Bayes' theo...

    Text Solution

    |

  15. The outcomes of an experiment classified as success A or failure A wil...

    Text Solution

    |

  16. If A, B and C are any three arbitrary events then which one of the fol...

    Text Solution

    |

  17. By Baye's theorem, which one of the following probabilities is calcula...

    Text Solution

    |

  18. Given that P(A) = 1//3, P(B) = 1//4, P(A//B) = 1//6, then what is P(B/...

    Text Solution

    |

  19. If A and B are two mutually exclusive and exhaustive events with P(B) ...

    Text Solution

    |

  20. Two dice are thrown. What is the probability that the sum of the faces...

    Text Solution

    |