Casio EX-FC100 has a 9.0MP 1/2.3-inch (6.17 x 4.55 mm ) sized CMOS sensor . On the other hand, Sony HX300 has a 20.0MP 1/2.3-inch (6.16 x 4.62 mm ) sized BSI-CMOS sensor .
Sony HX300's sensor provides 11MP more than Casio EX-FC100's sensor, which gives a significant advantage in real life. You can print your images larger or crop more freely.
On the other hand, please keep in mind that Max sensor resolution is not the only determinant of resolving power. Factors such as the optical elements, low pass filter, pixel size and sensor technology also affects the final resolution of the captured image.
Below you can see the EX-FC100 and HX300 sensor size comparison.
Sensor Size and Resolution Comparison image of Casio EX-FC100 and Sony HX300 Cameras
Casio EX-FC100 and Sony HX300 have almost the same sensor size so none of them has any significant advantage over other in providing control over depth of field when used with same focal length and aperture.