The theorem of conditional probability has it that if P(A|B)=P(A) then the two events are independent. However, I wonder is there any intuition behind the numerical differences if two of them differ? E.g. if P(A|B) and P(A) are just differ by 0.01 (or even 0.001) that we can claim the strength of dependency is weak, while if the numerical difference hits like >= 0.1 or something we can claim that, compared to 0.01, the two probabilities indeed has relatively large dependency.
Please advise if my interpretation/intuition is right or wrong - or even, are there anyone describing and comparing in this way? TIA.