If my team wins 50% of the time when I wear my lucky tie and 90% when I wear my yellow sox, what is the probability of them winning if I wear both. explain how you got to your response, please
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The probability of them winning remains the same, since an individual's choice of clothes does not influence the results of sporting events (unless you're bribing the players).
On a more serious note, you can't calculate this without some more information, since: $$P(C \ |\ A \cap B) $$ Is not necessarily related to $P(C\ | \ A)$ and $P(C\ | \ B)$, which is the information you provided.