Hospital Task

Suppose that two hospitals kept track of the number of babies born in a given day. Hospital A is in a big city while Hospital B is in a small town.
Hospital A.  20 Female Babies and 5 Male Babies   Hospital B.  4 Female Babies and 1 Male Baby

      
Assuming that, for any given birth, it is equally likely for a boy or girl to be born, which do you think is more likely to occur?

a) 20 out of 25 of the babies born in Hospital A are female,

b) 4 out of 5 of the babies born in Hospital B are female,

c) Events a) and b) are equally likely to occur.

Explain your reasoning.

THEN, Use Probability Explorer to investigate this question empirically.  What does empirical evidence suggest about the likelihood of each of these situation?