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And isn't rather interesting that "belief" was attached to ONLY the jailer in Acts 16:31, yet in Acts 16:33 "then IMMEDIATELY he and all his household were baptized."

Act 16:31 And they said, Believe on the Lord Jesus Christ, and thou shalt be saved, and thy house.
Act 16:32 And they spake unto him the word of the Lord, and to all that were in his house.

Act 16:34 And when he had brought them into his house, he set meat before them, and rejoiced, believing in God with all his house.

Not a baby in the bunch...