Both Olympus SZ-10 and Samsung WB150F have 1/2.3-inch sized 14.0 MP resolution sensors so sensor size and resolution is not a differentiator between these two cameras.
Below you can see the SZ-10 and WB150F sensor size comparison.
Sensor Size and Resolution Comparison image of Olympus SZ-10 and Samsung WB150F Cameras
Olympus SZ-10 and Samsung WB150F 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 Olympus SZ-10 has 15% larger pixel area compared to Samsung WB150F, 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
Olympus SZ-10
or the
Samsung WB150F ,
including hyperfocal distance.