The probability of having a girl versus a boy is 1/2 because there is two things you have a chance of getting and you can only get one or the other.
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Assuming the chances of having a boy and having a girl are equal (50/50), there are 4 possible outcomes from having 2 children. BOY-BOY, or GIRL-GIRL, or BOY-GIRL, or GIRL-BOY. Since each outcome is of equal probability it means there's a 25% chance the first will be a girl and the second will be a boy.
The sex of a child is determined by male sperm. There are only two sexes, so there is an equal (50-50) chance of having a boy or girl.
Assuming that the probability of having a baby girl is 1/2 and that of having a baby boy is 1/2, the probability of having 3 baby girls in a row is (1/2)(1/2)(1/2)=1/8.
The probability of having a boy or a girl is always 50/50 because the female has to X sex chromosomes and the male has one X and one Y sex chromosome. If you do a Punnet Square, there will be two squares with XY and two squares with XX. With four squares in all that makes a 50/50 chance.
50% boy 50% girl or 1/2