I'm trying to figure out this problem but i keep getting stuck. The problem statement, all variables and given/known data A woman wants to have a 95% chance for a least a one boy and at least one girl. What is the minimum number of children that she should plan to have? Assume that the event that a child is a girl and a boy is equiprobable and independent of the gender of the other children born in the family. Relevant equations So i know you should use Pr(K = k) = (n\choose k)p^k(1-p)^(n-k) The attempt at a solution since the it's a 95% chance Pr(K=k)= .95 probability of a boy or girl is 50% so it's .5 .95= (n\choose k).5^k(1-.5)^(n-k) but then how would you solve or find what n and k is? Am i missing something here? Can anyone help! thank you in advance.