A bag contains 8 numbered cards, each with a distinct prime number written on it. The prime numbers are: 2, 3, 5, 7, 11, 13, 17, and 19. A card is drawn at random from the bag, and the number on the card is multiplied by the next prime number after it. What is the probability that the product is a power of 2? Let's think step by step and output the final answer within \boxed{}.
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