A hat contains 3 cards, one black on both sides, one white on both sides and one that is black on one side but white on the other side. You randomly select a card and place it on the table. Denote by A the event that the face up is black and by B the event that the face down is white. Here consider that if you get face up black for a card which is black on both sides, it's different from the case when you get the same card's face down black color on its face up. Same is for the card which is white on both sides. Are A and B independent?

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