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During a cash game I agree with the above, generally speaking as fair practice. However, during tournament play I believe it is utter folly to exchange chips with other players for any reason; especially when there are tournament directors and dealers directly assigned to you, specifically purposed for this task.
Regarding the issue with the ante: yes, the dealer will give you back a chip of 500. (S)he will take it either from the current pot or ask another player to make the exchange. But only put the 1000 chip in if you don't have anything smaller to pay for the ante. As long as you have the required chip denominations, use them. As for exchanging chips: yes, ...
If you get your money in or get out of the hand at the right time and odds are in your favor, you will 100% sure make money. And indeed, you should carry on betting even though it's against your odds. This is why poker is such a nice game. You can play against math and use psychology to win. If you have absolutely nothing, but you feel you can bluff your ...
IMHO, even if you manage to calculate your odds perfectly well, in every hand, if you are sit in a 9 players table, you'd win the pot 1/9 time (in a purely probabilistic way). Now, just try to imagine if your hands are weak before the flop (or turn/river) and someone, for any reason, breaks the odd every hand you play, because he saw you were playing that ...
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