Step 1: In the hand, two important synovial bursae surround the long flexor tendons as they pass under the flexor retinaculum: the radial bursa and the ulnar bursa.
Step 2: The radial bursa is the synovial sheath that ensheaths the tendon of flexor pollicis longus and extends down to the thumb. This makes FPL the correct answer.
Step 3: The ulnar bursa, in contrast, surrounds the tendons of flexor digitorum superficialis and flexor digitorum profundus, so options FDS and FDP belong to the ulnar bursa.
Step 4: Flexor carpi radialis has its own separate sheath and is not the radial bursa, so it is excluded. Hence FPL is correct.