Say I have a population which is evenly split into men and women. If I'm randomly selecting a sample of y, how do I calculate the probability of selecting a specific split by gender?
Total population = 150 (75 men and 75 women)
Randomly select 20 people.
What is probability of selecting 0 men and 20 women? 1 man and 19 women? 2 men and 18 women? ... etc.
Furthermore - what is the formula to generalise this if it is an unevenly split population (e.g. there are 80 men and 70 women to begin with in the example above)?