Both Casio TRYX and Fujifilm X30 have 12.0 MP resolution sensors but Casio TRYX's sensor is 1/2.3-inch (6.17 x 4.55 mm ) and Fujifilm X30's sensor is 2/3-inch (8.8 x 6.6 mm ).
Since Fujifilm X30's has a larger sensor area with the same resolution, this means that it also has a larger pixel area hence better light collecting capacity for a given aperture compared to Casio TRYX.
Below you can see the TRYX and X30 sensor size comparison.
As seen above, Fujifilm X30 has a 2.1x Larger sensor area than Casio TRYX. Larger sensors give photographer more control on the depth of field and blurry background compared to smaller sensor when shot in same focal length and aperture.