yes they could play many titles and they are known because they have 4 USB ports. If they do not have 4 USB ports and the card reader they can not play the PS2 games except the redesigned games sold for the PS3 through the PlayStation Store. Europe and later first PS3 models have less playable titles for PS2 games because they switched to a partial software based emulation before they completely discontinued the backward compatible feature.
Other factors including age and overheating make purchase of the 2006 and 2007 PS3 models a risky choice. There are even temporary fixes that can allow the early PS3 models to be sold when it will soon break again.
If your PS3 has already had the YLOD, then you can reflow your motherboard every few months to keep it working (but it is not a permanent fix as the YLOD usually comes back).
Only the old first couple of PS3 models with 4 USB port could play PS2 games all models play PlayStation games. New PS2 models tell on the Box they come in that they do not play the PS2 games, but there are plenty of used cheap PS3 games
No, but you can play PlayStation 2 games on a PlayStation 3. No you can not unless it is one of the old 4 USB First PS3 models that have not been made for years.
All PS3 models play PlayStation 1 Games and do so through software emulation.
yes they both play PS1 games on all models
All PS3 models play PlayStation 1 Games and do so through software emulation.
No, they cannot. But you can play PlayStation 1 games on a PS2, and PS2 games on a PS3 (but on later models, the PS3 cannot play them).
No the PS2 can not play PS3, The PS3 with 4 USB ports are the only game console models that can play all PlayStation games.
No they do not. The first Playstations 3 models with the 4 USB ports did play some PS2 titles but it was soon discontinued as unworkable and expensive
Yes both the Playstation 2 and Playstation 3 models support backwards compatibility of original Playstation system games.
yes All PS3 can play Select PlayStation 1 games including the new PS3 slim models
Only some models of the ps3 have the capability of playing ps2 games.
Yes the Playstation games will play on all PS3 models