Home
Class 12
MATHS
Assume that the birth of a boy or girl t...

Assume that the birth of a boy or girl to a couple to be equally likely, mutually exclusive, exhaustive and independent of the other children in the family. For a couple having `6` children, the probability that their "three oldest are boys" is

A

`(20)/(64)`

B

`(1)/(64)`

C

`(8)/(64)`

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
C
`(c )` `E : B_(1)B_(2)B_(3)xxxxxx`, where `xx` means `B` or `G`
`:.P(E)=(1)/(2)*(1)/(2)*(1)/(2)=(1)/(8)=(8)/(64)`
Promotional Banner

Topper's Solved these Questions

  • PROBABILITY

    CENGAGE|Exercise Comprehension|2 Videos

  • PROBABILITY

    CENGAGE|Exercise Multiple Correct Answer|13 Videos

  • PRINCIPLE OF MATHEMATICAL INDUCTION

    CENGAGE|Exercise Exercise|9 Videos

  • PROBABILITY AND STATISTICS

    CENGAGE|Exercise Question Bank|24 Videos

Similar Questions

Explore conceptually related problems

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 ?

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

Find the probability mass function and cumculative distribution function of number of girl child in families with 4 children, assuming equal probabilities for boys and girls.

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

A father has 3 children with at least one boy. The probability that he has 2 boys and 1 girl is a. 1//4 b. 1//3 c. 2//3 d. none of these

A coin is tossed three times and all possible outcomes are assumed to be equally likely. E is the event: "exactly 2 heads or two tails have occurred" and F is the event: "at most one tail has occurred". Show that E and F are independent events.

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.

Suppose families always have one, two, or three children, with probabilities 1/4, 1/2, and 1/4, respectively. Assume everyone eventually gets married and has children, then find the probability of a couple having exactly four grandchildren.

Which of the following experiments have equally likely outcomes? Explain. A baby is bom. It is a boy or a girl.

CENGAGE-PROBABILITY-Single correct Answer
  1. A man throws a die until he gets a number greater than 3. The probabil...

    Text Solution

    |

  2. Suppose A and B are two events with P(A) = 0.5 and P(AuuB)=0.8LetP(B)=...

    Text Solution

    |

  3. A biased coin with probability p(0 lt plt 1) of falling tails is tosse...

    Text Solution

    |

  4. Assume that the birth of a boy or girl to a couple to be equally likel...

    Text Solution

    |

  5. Two persons A and B get together once a weak to play a game. They alwa...

    Text Solution

    |

  6. Suppose A and B shoot independently until each hits his target. They h...

    Text Solution

    |

  7. A fair die is tossed repeatedly. A wins if if is 1 or 2 on two consecu...

    Text Solution

    |

  8. For two events A and B, if P(A)P((A)/(B))=(1)/(4) and P((B)/(A))=(1)/(...

    Text Solution

    |

  9. A and B are events of an experiment such that 0 lt P(A), P(B) lt 1. If...

    Text Solution

    |

  10. If A and B are two events such that P(A)=0.3, P(B)=0.25, P(AnnB)=0.2, ...

    Text Solution

    |

  11. A number is selected at random from the first twenty-five natural numb...

    Text Solution

    |

  12. If two events A and B such that P(A')=0.3, P(B)=0.5 and P(AnnB)=0.3, t...

    Text Solution

    |

  13. In a hurdle race, a runner has probability p of jumping over a specifi...

    Text Solution

    |

  14. A box contains 4 white and 3 black balls. Another box contains 3 white...

    Text Solution

    |

  15. The probabilities of solving a problem correctly by A and B are (1)/(8...

    Text Solution

    |

  16. The probability of event A is 3//4. The probability of event B, given ...

    Text Solution

    |

  17. An urn contains three white, six red and four black balls. Two balls a...

    Text Solution

    |

  18. Let A,B,C be 3 events such that P(A//B)=(1)/(5), P(B)=(1)/(2), P(A//C)...

    Text Solution

    |

  19. A coin is tossed. If head appears a fair die is thrown three times oth...

    Text Solution

    |

  20. For any events A and B. Given P(AuuB)=0.6, P(A)=P(B), P(B//A)=0.8. The...

    Text Solution

    |