I'd say this is the very definition of "overthinking it" instead of pattern matching. Pattern matching would lead you straight to the correct answer - joint pro

I'd say this is the very definition of "overthinking it" instead of pattern matching. Pattern matching would lead you straight to the correct answer - joint probability is always ≤ single probability. Meaning the information given in the question is just fluff. Pattern matching reduces to "Which is more probable: just A or else A ^ B?" at which point the correct answer becomes obvious.