I have a problem where I need to classify whether a client is likely to buy or not a service, I have around 10 service and 10.000 times more clients than service, and also rules that do not allow certain clients to buy specific service, say: a teenager can not buy alcohol delivery.
What I'm currently doing is to make a model for each of the 10 products, my problem is:
For a client, how can I compare the prediction of each of the models: say I model 1 return a probability of buying the service_1 of 0.4 and service_2 from model 2 has a probability of 0.6 can I directly compare those values? given that it is possible that the service1 is overall less likely to be bought
The history I have is the list of clients, some of the characteristics and whether they have or not a service.