Acts 16:31 And they said, Believe on the Lord Jesus Christ, and thou shalt be saved, and thy house.
This verse is often interpreted to mean that if a person is born again, their household is promised salvation. In my Christian experience, many accept this as the correct interpretation of these scriptures. I heard a pastor once say that our families are promised salvation, so if a family member dies we are to believe by faith that they are saved, even if there is no evidence of salvation in that family member’s life. That is a false assumption. Our families are no different than anyone else. They will only be saved if they heed the words of Jesus …
John 6:47 Verily, verily, I say unto you, He that believeth on me hath everlasting life.
Luke 13:3 … except ye repent, ye shall all likewise perish.