Last Survivor Probability Calculator
Calculate the probability that at least one of two independent lives survives the given number of years.
Description
Calculate the probability that at least one of two independent lives survives the given number of years.
Last Survivor Probability Calculator provides a focused, reproducible calculation with explicit inputs and a deterministic result. Calculate the probability that at least one of two independent lives survives the given number of years.
Use to calculate the probability that at least one of two independent lives survives a selected horizon.
When to use Last Survivor Probability Calculator
Use to calculate the probability that at least one of two independent lives survives a selected horizon.1
How the calculation works
Calculate the probability that at least one of two independent lives survives the given number of years.2
P(at least one survives t) = 1 − (1−p₁^t)(1−p₂^t) Inputs and interpretation
Keep every input on the same valuation, timing, unit, and assumption basis. Interpret the output at the precision supported by those inputs rather than treating extra decimal places as additional certainty.
Limitations and assumptions
The inclusion-exclusion result relies on independent lives and constant annual mortality.
References
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Supplementary Notes for Actuarial Mathematics for Life Contingent Risks — Society of Actuaries
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Actuarial science — Wikipedia contributors
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