Both Sony S2000 and Casio EX-FC150 have 1/2.3-inch sized 10.0 MP resolution sensors so sensor size and resolution is not a differentiator between these two cameras.
Below you can see the S2000 and EX-FC150 sensor size comparison.
Sensor Size and Resolution Comparison image of Sony S2000 and Casio EX-FC150 Cameras
Sony S2000 and Casio EX-FC150 have the same sensor sizes so they will provide same level of control over the depth of field when used with same focal length and aperture. On the other hand, since Sony S2000 has 11% larger pixel area compared to Casio EX-FC150, it has potential to collect more light on pixel level hence have less noise in low light / High ISO images.
Sensor size sets the circle of confusion, so it drives how much depth of field each
of these bodies gives you at a given aperture. You can calculate it exactly for the
Sony S2000
or the
Casio EX-FC150 ,
including hyperfocal distance.