True, but that doesn't apply to babies who die, who obviously weren't old enough to understand becoming born again. Also, it may be rare, but those who have never heard the name of Jesus still have a chance to be saved / born again... not based on what they don't know, but what they do know. As Romans 1:20 says, God is revealed by what He has made. To be clear, that isn't an automatic thing, it's how they respond to the ways God is revealed, but just saying there is that chance.
From what I've seen, that is a standard Christian view.