Mr. and Mrs. Gulati stays in a house along with their seven children. The female to male ratio in the family is 1:2. Then the probability that all the children are of same sex.
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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.