Casio TRYX has a
12.0MP 1/2.3-inch (6.17 x 4.55 mm ) sized BSI-CMOS sensor and features Exilim Engine HS processor. On the other hand, Sony TX66 has a
18.0MP 1/2.3-inch (6.17 x 4.55 mm ) sized BSI-CMOS sensor and features BIONZ processor.
Sony TX66's sensor provides 6MP more than Casio TRYX'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 TRYX and TX66 sensor size comparison.
Casio TRYX and Sony TX66 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 Casio TRYX has 49% larger pixel area compared to Sony TX66, it has potential to collect more light on pixel level hence have less noise in low light / High ISO images.