Out of 10 children born, what is the probability that more than 5 of the children are girls

Question

Out of 10 children born, what is the probability that more than 5 of the children are girls

Answer 1

binomial formula

P(x successes in n tries) = n! p^x (1-p)^(n-x)

-----

x! (n-x)!

here p = 0.5, since equal probability of having a boy or a girl; n = 10.

probability is P(x = 6) + P(x = 7) + P(x = 8) + P(x = 9) + P(x = 10) using the above formula.