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Well if your opponent had literally a random hand, it would be 1/45 (the ace over 52 - that you and the board have 7 cards locked up) x 7/44 of the remaining flush cards in the deck. Or like 3 of every 1000 times, but this number can be rendered to be somewhat useless because your opponent's hand is almost never completely random and aces are often a big part of their preflop range, especially suited aces.
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The amount of people in the hand is irrelevant. You dont know what they have/folded. Odds are the same whether it is 3ppl or 10ppl. Less than 3% is the answer to your question.
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yea it all depends on how many are in the game!