With sounds like this you can get quite far with only 2 FM operators (I dunno if that's the "2 sounds" referred to in another reply?)
That's a screenshot of FM8 running a patch not 1000000 miles from the 2nd example you posted.
The grid on the right shows that there's only 2 operators active; "F" goes to the output, and has a medium-length envelope; "E" is modulating the frequency of "F". It has a short envelope, which means there's lots of modulation initially, which dies away quickly. That gives the sound an initial "plucky" quality.
"F"'s pitch ratio (not shown in screenshot) is 0.5 which means it's an octave lower than default.
"E"'s pitch ratio here is 1.6667 which means it's a an octave + a 5th above operator "F"... that's important because the interval between E & F affects what harmonic series you get as a result.
I'd say if you can dial that in, and start experimenting tuning "E" up and down, and playing with the amount "E" modulates "F", you might get close. And remember, the pro's might be layering their FM basses with other sounds too.
Good luck!
