I have this question:
"There are a 100 families each with 5 children. Given that the null probability of having a boy is $p=0.5$, what is the probability of a family having 0,1,2,3,4,5 boys"
We have been asked specifically to use dbinom from R.
0.03125 0.15625 0.31250 0.31250 0.15625 0.03125
Why are the numbers similar, as in why is the probability of having 0 boys the same as 5 boys, or why the probability of having 2 boys the same as having 3 boys?