[YoshiYashiki]

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Question: I plan on playing lots of Stars 4/180's exclusively. Will I be able to open all 20 tables at once so this collects data on all players and then store it all for use when I start another tourney later in the day?

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This is referred to as datamining and is prohibited at PokerStars.

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But If I'm registered in that tourney will get be able to colect on all the tables for that tourney in case they move to by table later on?

Will it remember their data from tourney to the next that I play in?

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As mentioned before you cannot datamine tables you are not sat at on Stars. It will remember data of players you have sat with previously. So if you play in another tourney and have played with someone at your table before it will show their stats from your previous experiences with them.