Answer: The tile floor.
Step-by-step explanation:
We can think of this as follows:
By the second Newton's law, we know that:
F = m*a
force is equal to mass times acceleration.
Now, as the egg hits the ground, we can think that there is a force that is applied in a very short period of time.
(similar to the case of a bat hitting a baseball)
Ok, the total energy of the impact will be the same for any surface in which the egg falls.
But suppose that the egg falls in a carpet, in this case, the carpet has a kinda large collision time (the time that the force is applied to the egg), this means that we will have a smaller force, acting for a long period of time. Now if the egg falls on something harder, like the tile floor, the collision time will be a lot shorter, then the force must be a lot stronger to compensate, this force is so large, that breaks the shell of the egg.
the tile floor is then the correct answer.