Both Samsung WB150F and Samsung WB250F 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 WB150F and WB250F sensor size comparison.
Sensor Size and Resolution Comparison image of Samsung WB150F and Samsung WB250F Cameras
Samsung WB150F and Samsung WB250F 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 Samsung WB250F has 14% larger pixel area (2.01µm 2 vs 1.76µm 2 ) compared to Samsung WB150F, it has larger pixel area to collect light hence potential to 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
Samsung WB150F
or the
Samsung WB250F ,
including hyperfocal distance.