If you based it on what we've seen in the Star Wars films specifically in Attack of the Clones and Revenge of the Sith, Obi-Wan Kenobi did have difficulty on handling Count Dooku and there's even a time that even with the aid of Anakin, they still couldn't defeat Dooku. read more
Obi Wan was unable to defeat Count Dooku because the Count was a significantly better lightsaber duelist. Obi Wan was a master in Form III lightsaber combat. Form III is an almost entirely defensive style of combat. read more
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