A simple informal reason for giving a small probability to "A causes B" could be this:
For any fixed values A and B, there is only one explanation "A causes B", one explanation "B causes A", and many explanations "C causes A and B" (for many different values of C). If we split 100% between all these explanations, the last group gets most of the probability mass.
And as you said, the more complex given field is, the more realistic values of C there are.
Previous open thread
If it's worth saying, but not worth its own post (even in Discussion), then it goes here.
Notes for future OT posters:
1. Please add the 'open_thread' tag.
2. Check if there is an active Open Thread before posting a new one.
3. Open Threads should be posted in Discussion, and not Main.
4. Open Threads should start on Monday, and end on Sunday.