LogFAQs > #889526740

Nagito's plan was to engineer a situation in which the culprit would be decided by pure luck (who grabbed the poison) and would be unknowable to anyone, including the culprit themselves. Furthermore, thanks to his Ultimate Luck the plan went that the traitor would be the one to pick the poison and be the culprit. Since it was otherwise unknowable who was responsible, the survivors would have to choose at random - unless of course, the traitor outed themselves, as it happened.

Nagito's intention being to create a scenario in which the traitor was the culprit but no one had any way to determine that so that they (the only non-Despair participant) would get away with it and the others (Remnants of Despair, including himself) would die. It's no coincidence that he began to set-up for this at the same time he learned the truth about everyone's background in Chapter 4's Investigation.

However, the fact that he made the video that gave the survivors the password suggest that he was aware of - and okay with - the outcome of the Remnants of Despair winning the trial. If he absolutely wasn't, there was no need for him to divulge that info, the traitor would have had it already. It's consistent with his beliefs that if the Remnants of Despair won, it meant that their hope prevailed against the traitor's, as well as the bleak situation Nagito himself set up. Although, I'll admit to some extent this is up to interpretation.
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xp1337: Don't you wish there was a spell-checker that told you when you a word out?