The probability of getting a boy is MATH

Let X = number of boys in the family.

Here,

n = 6,
p = 0.5215,
q = 1 − 0.52153 = 0.4785

MATH

MATH

MATH

MATH

So the probability of getting at least 3 boys is:

MATH

NOTE: We could have calculated it like this:

MATH