Affleck, 41, was stopped by security guards at the Hard Rock Casino in while playing at a high rollers' table and reportedly banned for life when he was suspected of using the strategy.
While card counting - a method of using probability to predict the next hand - is not illegal it can get a player barred.
An alert sent out by the casino is said to have stated that Affleck "uses perfect basic" - an industry term for card counting, "but also takes insurance according to the count."
The source claimed that the hotel staff was polite to the star, telling him: "you are too good at the game."'
Affleck, who won Oscars for co-writing 1997's "Good Will Hunting" and producing 2012's "Argo, " recently starred in last year's crime thriller "Runner Runner, " where he played an online gambling tycoon.
The father-of-three was on a short break in Las Vegas with his wife Jennifer Garner before he left to shoot Zack Snyder's upcoming "Man of Steel" sequel where he will play Batman opposite Henry Cavill's Superman.
An earlier story by celebrity said Affleck had been banned for life from the casino for counting cards, a method of using probability to predict the next hand which is not illegal.
A representative for the Hard Rock Hotel did not immediately respond to a request for comment on Friday.
Seven Up is a solitaire card game which is played with a deck of 52 playing cards. The game is so called because the aim of the game is to eliminate a card or a group of cards that total to a multiple of seven. It also belongs to a family of value adding row games in which Decade is included.
In this game, cards are placed in a row. Spot cards...
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