Do babies go to hell if they die?

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Original sin according to the Bible everyone is born with. No matter how nice the baby may seem to be, it is guilty,and until the day comes that it can understand that it has this spiritual affliction and can ask forgiveness and have it taken away,then if death were to come,one would assume that this baby is banned from heaven and would be bound for hell just as surely as any murderer or thief that hasn't repented of his sins.How do others feel about this? Does God make exceptions for babies and the retarded? If dead babies go to heaven then the whole idea of original sin must also be abandoned.