Question:

Probability of four son to a couple is : -

Updated On: Apr 4, 2024

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The Correct Option is C

Solution and Explanation

The binomial probability formula is: P(X = k) = (n choose k) * p^k * (1 - p)^(n - k) where (n choose k) is the binomial coefficient, which can be calculated as: (n choose k) = n! / (k!(n - k)!) In this case, k = 4, n = 4, and p = 1/2. Let's calculate it step by step: (n choose k) = 4! / (4!(4 - 4)!) = 1 (because 4 choose 4 is always 1) Now, put these values into the binomial probability formula: P(X = 4) = 1 * (1/2)^4 * (1 - 1/2)^(4 - 4) P(X = 4) = 1 * (1/16) * (1) P(X = 4) = 1/16 So, the probability of a couple having four sons is 1/16, which corresponds to option (C).

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Concepts Used:

Sex Determination

In human beings and animals, sex determination is usually conducted by hormonal differences, the combination of different chromosomes during reproduction. In human beings, males and females generally hold different gene variants and sex determination is hereditary. Sex differences involve the growth of a human's inner and outer sex organs and genitalia which plays a crucial role in Sex determination into masculinization and feminization that is by the growth of Sertoli cells in a male child and granulosa cells in a female child. As the zygote cell matures into adulthood definite things take place in sexual differentiation, that is the growth of different sex hormones, genes, reproductive glands, and long DNA molecules. The initial stages of sex differentiation in humans are somewhat similar to those of any other mammalian species' biological processes. In humans, males have a pair of XY chromosomes whereas females have a pair of XX chromosomes, and the Y chromosome of the male parent prompts testicular development like testis formation whereas X chromosomes of the male parent prompt ovarian development and form ovaries. Hence it is obvious that Father is the sex-determining factor.