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In general, the probability that any child will be a girl is approximately 1 in 2. It is like flipping a coin. There is a 50-50 chance for a specific outcome each time. It would be less likely that a woman would have three sons than that she have two sons and one daughter, but each individual outcome is a 50-50 chance. If this is a brain teaser, since we are given that the woman has given birth to two sons, it could imply that any other children she has are daughters, in which case the probability is 100% - if we know that she has other children.

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Q: If a woman has given birth to two sons what is the probability that her third child will be a girl?
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What is the probability of having 3 daughters in a row?

it one out 8 1/8 bc first child 1/2 second child 1/2 third child 1/2 1/2 x 1/2 x 1/2 = 1/8


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Related questions

A women 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?

There are no relationship between this 3 events, the probability to give birth to a girl can not be deduce from previous birth given by a women. So the probability that the third child will be a girl is the same for this woman as for any other woman, no matter what happened before. It's like rolling a dice, if one gets an ace and an ace, it does not change the chance to get another ace for the third roll, or a 2, or a 3,.... All the roll results are independent if the dice is not loaded


A women gives birth too a son.Two years later she gives birth to another son.What is the probability that her third child will be a girl?

There is no simple answer to the question because the children's genders are not independent events. They depend on the parents' ages and their genes.However, if you assume that they are independent events then, the probability that the third child is a girl is the same as the probability that any birth is a girl - which is 0.48 across the world.


If a woman has given birth to two daughters what is the probability that her third child will be a girl?

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The answer to this is 1 minus the probability that they will have 3 or fewer children. This would happen only if they had a boy as the first, second or third child. The probability they have a boy as first child is 0.5 The probability they have a boy as second is 0.25 The probability they have a boy as third is 0.125 Thus the total probability is 0.875 And so the probability they will have more than three children is 1-0.875 or 0.125


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