Mr. and Mrs. X stays in a house along with their 7
children. The female to male ratio in the family is 1:2.
A person is

Mr. and Mrs. X stays in a house along with their 7
children. The female to male ratio in the family is 1:2.
A person is chosen from the family. Find the probability
that the person is male.​

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Amaya

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  1. Answer:

    Probability = 0

    Step-by-step explanation:

    There are total 9 members in the family.

    7 children + Mr. Gulati + Mrs. Gulati. = 9

    As the sex ratio is female:male = 1:2

    Total number of male in the family = X

    ∴ Female in the family = 2X

    ∴ X + 2X = 9

    ∴ X = 3

    One male and one female in the family are Mr. and Mrs. Gulati.

    ∴ Male children = 3 – 1 = 2

    Female children = 6 – 1 = 5

    From above, the sex of the children is 2 male and 5 female.

    This prooves that, same sex children are not possible for given children.

    ∴ Probability that all the children are of same sex is zero.

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