Probability question : What gender are my fish? Answered
This is NOT a school homework question; I did my last one of those three decades ago!
We were sitting in the sunshine, watching our six golden rudd swimming around the garden pond and my wife asked me "how many do you think are females?" Well, lacking a detailed veterinary examination (of the fish!) I found it hard to give any sort of answer. All I could suggest was I'd tell her what the likelihood of each mix was . . . later.
Truth is, I've found it hard to come up with an answer and get varying results depending on the reasoning I apply. So, can someone tell me the correct method for this and the probability of each possible mix of males and females. For the sake of argument we'll assume these six fish were drawn from a large population of equal males and females and all were equally hard to catch.
I'm sure my wife is on tenterhooks, awaiting my answer to her question ;)