Re: Should I win 10% of hands in long run?
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No. Equally skilled players may still have widely different playing styles.
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No. You have contradicted yourself. Players with widely different playing styles do not have equal skills. Different playing styles are unequal by virtue of being different. Different and equal are mutually exclusive. A passive player is not equal to an aggressive player; a loose player is not equal to a tight player.
To clarify for you, if you take yourself and clone it 9 times, sit all 10 at a poker table, and play hold'em until the long run comes, each one of you and your clones should be expected to win 10% of your respective hands. This should be straightforward.
EDIT: I do, however, agree wholeheartedly with the rest of your post.
EDIT EDIT: The problem is in the phrasing of the question. It's premise, that the players are equally skilled, is a fallacy that would never apply to real life.
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