What is the Probability of Having a Girl as the Third Child?

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The probability of a woman having a girl as her third child remains 50%, regardless of the genders of her previous children. The reasoning is based on the independent nature of each birth, where the sex of the child is determined by the sperm and egg combination. A Punnett square can illustrate this, but it is not necessary for understanding the basic probability. The outcome of previous births does not influence the gender of future children. Therefore, each birth is an independent event with equal chances for male or female.
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I need help with this question:

A woman gives birth to a son. Two years later, she gives birth to another son. What is the probability that her third child will be a girl? Explain your reasoning.

I think it is 50% chance that it will be a girl because when you use the punnet square the outcome of the combination is 50%. I'm not sure if this is correct.
 
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I don't know why you need to do a Punnet square. The chance that your baby will be a girl is 50%, period. The sperm that are swimming up the vagina and competing with each other to fertilize the egg couldn't care less about the sex of the woman's previous children.
 
Your punnett square results are correct - the gender of a child is always 50% male and 50% female. Previous births don't affect probabilities.
 
I don't get how to argue it. i can prove: evolution is the ability to adapt, whether it's progression or regression from some point of view, so if evolution is not constant then animal generations couldn`t stay alive for a big amount of time because when climate is changing this generations die. but they dont. so evolution is constant. but its not an argument, right? how to fing arguments when i only prove it.. analytically, i guess it called that (this is indirectly related to biology, im...
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