Older PS3 Models with 4 USB ports will play PS2 games as seen on related PlayStation network link. All PS3 models with only 2 USB ports can not play PS2 games and there are no updates, downloads or additional hardware or cables that will allow them to play PS2 games. All models of PS3 can play PS1 games with software emulation.
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You can play PS2 games and some PlayStation titles. Consoles do not play PC games and the PlayStation will not play any of the Xbox or Nintendo consoles games. The PS2 does not Play PS3 games
No the only PS3 consoles that play PS2 games are the early PS3 models with 4 USB ports as can be seen on the related link to the PlayStation Knowledge Center.
I'm pretty sure, but not positive. You can play PS2 games on only the early PS3 consoles with 4 USB ports.
No PS2 games are compatible with PS3s having only 2 USB ports. The other consoles vary the games that they will play with less being compatible for different regions and consoles
No the Sims games for the PS3 have to be designed to play on all but the early 4 USB port PS3 consoles or they will not work