Ok so, I do understand that P(New Message|Spam) != P(Spam|New Message). It seems so simple but I’m just having a hard time describing the difference between those two.
What I understand is that P(Spam|New Message) is the probability that the new email is spam given that it’s a new email. But, what does P(New Message|Spam) means then? It’s the probability that it is a new message given that it’s spam?
Would really appreciate a little bit of clarification here.
Thank you very much.