You need Flash player 10 or newer for playing these games. Unfortunately today it became impossible to just install flash plugin from the developer's website, so playing flash games is a problem.
The easiest solution is to use a portable browser with already installed Flashplayer (download) (it's safe - verified by Virustotal.com)

Also, you can play HTML5 games, which does not require Flash, at https://m.egopaycasino.com

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