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Personally, I believe there is a weighted chance that you can get all the guesses right regardless of what you choose, or, that your chances are higher than the "1/6" chance players just immediately assume is how it works because they just take things at face value. Also, the majority of players have likely never programmed anything ever, or dealt with "random" chance in game design (it's not truly random).
It's anecdotal, but I've done this minigame thousands of times over the years, and have sometimes used autoplay scripts, and it's clear to me that my chances are closer to 30% than 17%, which I would guess Capcom "weighted" the chances as much to not make the minigame too annoying, while maintaining its relative simplicity.
I could be wrong, but at the same time, I've never seen anyone actually datamine the scripting involved.