Only in very rare circumstances. When a person dies without a will or other estate planning documents, they die “intestate,” which means that the person’s property will be distributed according to the applicable state’s “succession” statutes. These so-called “succession” statutes provide for the passage of a decedent’s property and assets to the decedent’s heirs according to the heirs’ relationship to the decedent.
In Nevada, only where the decedent leaves no surviving spouse, no lineal descendants (children, grandchildren, etc.), no father, no mother, no siblings, no nieces or nephews, or kindred of any kind will the decedent’s property and assets escheat to the state for educational purposes. See NRS 134.070.