In the realm of pure logic, I can understand the distinction.
Logic, as a study or class, needs to show how different forms of logic interact, and as such needs to establish differences in even the slightest manner between variations of logic.
In practical application causality and probability are used together constantly by many fields, but in study, it’s not a bad idea to point out that the base concept of each are nearly opposites of each other.
Causality states that logically, C is derived directly from premise A and B, and that only C is caused by A and B occurrences.
Probability, in logic, is a far different beast.
It is a less formed conclusion suggesting that it is only possible, but not directly causal, that C could come from A and B occurrences.
Think of it like Law.
We walked into the house and saw the following:
Mr. Johnson shot at Mr. Harold (A)
Mr. Harold stabbed Mr. Johnson (B)
Therefore, Mr. Harold stabbed Mr. Johnson after Mr. Johnson shot at Mr. Harold (C)
That is causality.
We walked into the house and saw the following:
Mr. Harold, who was holding a knife, standing over a bleeding Mr. Johnson, who had a gun nearby. (A)
Mr. Johnson yelling, “It was self defense! He shot at me!”. (B)
Therefore, it is possible that Mr. Johnson did stab Mr. Harold in self defense.(C)
That is probability.
They are absolute opposites of each other in the study of logic or critical thought because there is a need to recognize the differences between the two.
After you’re done learning about the differences and all of that jazz, then you’ll mix them up wildly as most fields and professions do.