Acceptance in a conference If a paper has 3 weak accepts (in all evaluations, a weak accept in each evaluation),  will it be published in the conference? If this is the case, what is the difference if it has 2 weak accepts and a strong accept or 3 strong accepts?
This largely depends on the conference. The way that conferences usually work (at least in my field for computer science - subdiscipline software engineering or human-computer interaction) is that once the reviews come in, the program committee meets and then discusses which papers will be accepted and which ones are rejected. This often comes down to how many papers there are, how many they can accept (subject to things including a mandatory acceptance rate, how big the conference can be, etc) and what other papers are like (if your conference has very few "strong accepts" that year then weak accept is pretty good).

Usually, a paper with few "strong accepts" could end up around the "middle" of the pack are more likely to be held up for discussion where they have a chance for rejection. Most PCs won't extensively discuss a paper where all of the reviewers say "strong accept".

So, we don't know if it'll be published in the conference. However, in general, the more strong accepts a paper gets, the more likely the paper will be accepted.