Yes, P(correlation ∩ causation) = 1 would be textually written as "It is almost certain that correlation and causation occur together". Or to bring you closer to the example, you could say P(causation | correlation) = 1 to say "It is almost certain that causation exists if correlation exists".
You can alter the right-hand side, but then you have to stop saying 'almost certain' because everyone assumes that means a measure one set.
So, for instance, you might believe that P(causation | correlation) = 0.8 across all human chosen distributions. You might well be right since adversarial distributions are so rarely chosen, i.e. there is a meta-effect where humans are choosing interesting queries in the first place.
You can alter the right-hand side, but then you have to stop saying 'almost certain' because everyone assumes that means a measure one set.
So, for instance, you might believe that P(causation | correlation) = 0.8 across all human chosen distributions. You might well be right since adversarial distributions are so rarely chosen, i.e. there is a meta-effect where humans are choosing interesting queries in the first place.