The probability is zero! There is no such thing as "normal". Every child (and adult) has some unique characteristics and that makes them not normal - in that respect.
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Nowadays it is approximately 0.5169
It's used commonly to estimate the traits of a child of two parents. For example, the probability of the child having blue eyes, or curly hair, or even having genetic disease.
Since having a child to a child is an independent event (assuming no outside intervention), the probability is still about 50 / 50 boy or girl.
1/32
No. Normal distribution is a continuous probability.