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Why do you want to convince them otherwise. Just smile and take their money. Let them believe its luck.
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The problem is that legislators who believe this use it to justify their attempts to ban it. See
other thread.
I think it's in our best interests to educate people (players and non-players alike) on this point. Most intelligent people can easily understand that there are elements of both skill and luck involved. Consider the heads-up tournament that was televised on NBC - does anybody really believe that they might as well have just drawn straws?