Depends on how you mean the question.
In general, all possible sequences of 10 coin flips have the same likelyhood. However, when you want to know the chances of two successive series of 10 having the same outcome, it depends on wether the order matters. If you only want to know what the likelyhood of, say, 4 heads and 6 tails, is, then that is a different question than wether you want to know the chance of the exact sequence of heads and tails repeating, as there are several different sequences that give you 4 heads and 6 tails, but only one gives you the exact sequence.
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