A bottle of wine is claimed to be 50 years old. If the age is correct, the bottle is expected to sell for a minimum of $100,000 at auction. A syringe was inserted through the cork of the bottle and a small sample of wine was removed. Analysis of the winesample indicated that a small amount of natural radioactive tritium, \[ ^3\mathrm{H} \]，was present. If the bottle was really 50 years old, about how much of the original tritium should remain? The half-life of tritium is 12.33 years.

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