I accept that you and most people here think this aproach is not helpfull. I will therefor abandon it. However you said that there are various other things wrong with my reasoning even if the aproach was not generally bad. Is my general process of asigning probabilities to believes wrong? Would the thing I did in the following paragraph also be wrong in an abstract scenario, where I would for example want to differentiate between blue and red balls instead of someone having a crush on me or not?
" If however this person gives the response with 100% Chance to a Person he/she has a crush on, but also with 50% chance to a person he/she just likes as a friend, then this signal will only help me differentiate between the states "friend" and "love intrest" with 50% probability. And now it becomes relevant on how many of his/her friends this person has a crush.
Let us say the person has 10 friends and has a crush on 5 of them. Than on average he/she would give 5 correct positive signals 2.5 false positive signals and 2.5 correct negative signals. So if I get a positive signal, than that means that with a probability of 2/3 that person would have a crush on me and with a probability of 1/3 he/she would not."
I accept that you and most people here think this aproach is not helpfull. I will therefor abandon it.
I haven't yet abandoned this approach and I'm not sure you should do so either. At least not until some more comments on this topic have come in.
If you have a crush on someone you usually want to find out if they have one on you too. In my opinion outright asking them is often not a good solution, because if they don't have a crush on you yet it decreases the chance of this ever happening if they know you have one. This believe is based on what I read about love psychology. Hovever I don't really want to discuss the option of outright asking them in this thread, therefore I have not elaborated further how I got to this believe.
The alternative to asking them is trying to interpret signals that they might give you. However to know how many signals you need before you should believe that they are in love with you, you would need the prior. I have not been able to find anything about the prior of someone being in love with you. Therefore my Idea is to do a survey in order to find out how likely it is that a person you know has a crush on you. The plan is to ask the person taking the survey how many people they know well enough to possibly have a crush on them and how many people they actually have a crush on.
I have created a Survey for this and would be really happy if you would participate.
The next stepp would be to discuss how certain signals a person can give you raise the probability of them having a crush on you. That part is quite difficult. I think probably the best way would be to check how your friends react to certain situations and what body language they show you and then, if you find out someone has a crush on you, to look up what he did differently from people who are merely your friends. I am currently not in a good position to do this experiment but if someone wants to try or has results about this to share please do so. However I think this part is less important than finding the prior, because most people have at least a general idea about what certain signals mean from personal experience while at least I have no idea at all what the prior might be.