Pressure. Same reason it doesn’t leak out of a syringe or straw. If you’re holding your breath, there’s no way for water to get in. While it seems like the water should easily be able to replace the air, fluid dynamics says that things don’t passively gain pressure. If there’s no force that would cause it to try and displace the air, it can’t.
As a side note: holding your breath doesn’t actually pit your lungs or body under any kind of pressure. The “pressure” feeling from holding your breath is just due to the fact that you have to actively keep your diaphragm flexed to keep air in your lungs. But the actual air is always in an equilibrium, regardless of what phase of breathing you’re in.
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