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After another 5,730 years, one-quarter of the original will remain.
Half-life is constant over the lifetime of an exponentially decaying quantity, and it is a characteristic unit for the exponential decay equation.
The accompanying table shows the reduction of a quantity as a function of the number of half-lives elapsed.
Instead, the half-life is defined in terms of probability: "Half-life is the time required for exactly half of the entities to decay on average".
In other words, the probability of a radioactive atom decaying within its half-life is 50%.