I think it's more to fit in line with the source material. The fellowship tried to avoid fighting and only fought it out when they had no other choice.
Also remember that every member of the fellowship was wearing magical armor and carrying magical blades. As well as cloaks and boots of elvenkind. Gimili's gift of Galadriels hair being an artifact and same with the one ring, which likely gave some magical aid to the fellowship by virtue of being the most powerful magical item ever made, more so than the simarils.
It's ironic to me that people say D&D is based on LoTR when every member of the fellowship was equipped with artifact items. Reminding that Sam, Pippin, Merry, and Frodo each had ancient swords forged specifically to kill Ringwraiths. Which is why Pippin and Eowyn destroyed the Witch King of Angmar. "No blade held by man can kill me." And neither of them were a man thus the prophecy came true.
A fun fact worth observing is that Sir Christopher Lee, Sir Ian Flemming and Tolkien all went to school together and all served with the British Commando in various roles. And the fellowship themselves are based on the Commandos and their feats throughout WWII. Which is almost certainly why even the junior commandos, represented by the Hobbits, had the best equipment and training for their task.
But legendary fiction is difficult to replicate in games of chance. And they, the Commandos, did not take games of chance operating only in certainty.