Parent died without a will. What happens to the house?

Intestate succession applies — every state has its own statute distributing the estate when there's no will. With three surviving children and no spouse, you'd typically split equally. To transfer real estate you'll need formal probate (the small-estate affidavit doesn't work for real property in most states). One sibling files a petition to be appointed administrator, the court issues Letters of Administration, the administrator deals with debts/taxes/creditors, and the house is then transferred or sold per the statute. Strongly recommend probate counsel for this — DIY probate of real estate goes wrong often, and title companies are picky about clean probate paperwork. Budget $4-10k in attorney fees + court costs.