Does a Collision in Space Affect a Spaceship's Center of Mass Motion?

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SUMMARY

A collision between an object of mass m and a spaceship of mass M in intergalactic space will always affect the spaceship's center of mass motion. The object, moving at speed v, adheres to the spaceship post-collision, resulting in a change in the overall momentum of the system. The assertion that the probability of no effect is zero is correct, as any collision involving mass will alter the center of mass due to the conservation of momentum principle.

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An object of mass m collides with a spaceship of mass M that is freely floating in intergalactic space. The mass was moving with a speed of v relative to the spacecraft and after the collision it sticks to the spaceship.

Estimate the probability that the collision won't affect the spaceship's center of mass motion at all.
 
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I would say the answer is obviously zero. So obviously I'm missing/misinterpreting something.
 

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