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In a card game Snap, 2 players each start with half of a shuffled deck. Alternately, each player turns up the top card of their pile.

In a card game Snap, 2 players each start with half of a shuffled deck. Alternately, each player turns up the top card of their pile. When the top cards of the face up piles match, the first person to say 'snap' wins. What is the probability that the players will turn over 4 cards without a match?

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