This is the 3466th most frequent Japanese word.
皆無
"皆無" means "none," "nothing," or "completely nonexistent."
Here, '皆無' is used to express complete absence of truth in the context of his story.
彼の話には真実が皆無だ。
His story is utterly devoid of truth.
In this sentence, '皆無' conveys the absolute lack of possibility for success under the given circumstances.
この状況において成功の可能性は皆無です。
In this situation, the possibility of success is nil.
Here, '皆無' articulates the notion of a complete absence of shortcomings in the plan.