It would be nice if there could be a hyperlink to a page explaining what a relative odds function is. Without it the second half of this page is unhelpful to those who don't know what a relative odds function is.
I don't know if this is helpful or not, but, as someone who is genuinely trying to use this to learn Bayes' theorem and doesn't already understand it, I found the following confusing:
When you introduce P(X) you don't explicitly show how those cash out. I eventually figured out the proper way to do it after reading the whole page, but I was a bit confused. Just something simple like "P(sick)=.2". Maybe that seems obvious, but it wasn't until I tried to do the example equations on my own that I realized I wasn't actually sure how "P(X)" translated into numbers in an equation.
I'm using these pages to learn about Bayes' Theory for the first time, and I have recognized that I am confused. How exactly does "P(X /\ Y)" work?
By the definition given I thought that it meant "The probability that X and Y are true". But that doesn't seem to be how it's being used in the equations that follow. Take Example 1, which has P(red/\round)/P(round)= 3/(3+4). But isn't the probability that an object drawn from the bag is both red and round the number of red and round objects divided by the total number of objects (3/10)? So why is it 3 instead o... (read more)