This expression means 'there is no way that...' or 'it is impossible that...', conveying a strong denial or impossibility based on logical reasoning. It indicates a firm conviction that something cannot be true. For example: あんなに簡単な問題が解けないわけがない。(There's no way I can't solve such a simple problem.)

論理的に考えてありえない、不可能だという強い否定を表す。例：簡単な問題が解けないわけがない。