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theres a half and half chance it will and theres a half and half chance it wont
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
5o/5o
"one third" is not an event and so cannot have complement nor a probability.
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