The two parts are something like this, where the bottom line is the bass drum and the top line is the snare:
(I should note that I am not a drummer, so I don't know how to notate the parts properly or even if I have these correctly identified.)
There's also a cymbal crash on the first beat of the first bar of these measures in "The World Turns All Around Here" (and on the first beat of the second bar in the third instance, at ~1:24), but the corresponding pattern in the Beatles' song doesn't have any cymbals.
There are minor differences, but the two parts are so similar that it seems more than just coincidence.