To determine the weight of the space probes on the two planets, we need to consider that weight is the force of gravity acting on an object and is given by the equation:
\[ \text{Weight} = \text{mass} \times \text{gravity} \]
Since the two planets have identical volumes but different masses, we can infer that the gravitational pull (acceleration due to gravity) on each planet will vary based on their mass.
Given that the mass of planet X is two times greater than the mass of planet Y, this makes planet X denser, and it will exert a stronger gravitational force (causing a larger gravitational acceleration) than planet Y.
Thus, the statement that accurately reflects the situation is:
The weight of the space probe on planet X will be greater than the weight of the space probe on planet Y.
This is because the gravitational pull on planet X is stronger due to its greater mass, resulting in a higher weight for the space probe on that planet.