Step 1: Identify which fascial compartment of the palm each listed structure occupies.
Step 2: The intermediate palmar septum splits the deep palm into a lateral thenar space and a medial midpalmar space. The midpalmar space houses the deeper tendons and lumbricals of the middle, ring and little fingers.
Step 3: Working through the options, the FDP tendons of the 3rd and 4th fingers and the 2nd lumbrical all sit within the midpalmar space, so they are genuine contents.
Step 4: The 1st lumbrical accompanies the index finger flexor and lies in the thenar space, placing it outside the midpalmar space. That makes it the odd one out.
\[\boxed{\text{1st lumbrical}}\]