A family has five daughters and is expecting | vedclass

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Question

(C) In humans,sex determination is based on the $XY$ chromosome system. During fertilization,the male gamete (sperm) can carry either an $X$ or a $Y$

Vedclass · Accepted Answer

$50\%$

Vedclass · Answer

(C) In humans,sex determination is based on the $XY$ chromosome system. During fertilization,the male gamete (sperm) can carry either an $X$ or a $Y$ chromosome,while the female gamete (ovum) always carries an $X$ chromosome. When an $X$-bearing sperm fertilizes an egg,the zygote becomes $XX$ (female). When a $Y$-bearing sperm fertilizes an egg,the zygote becomes $XY$ (male). Since the probability of a sperm carrying an $X$ or a $Y$ chromosome is equal ($50\%$ each),the probability of having a boy or a girl for any pregnancy is always $50\%$,regardless of the gender of previous children. Therefore,the probability of the sixth child being a boy is $50\%$.

$A$ family has five daughters and is expecting a sixth child. What is the probability of it being a boy?

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