Exploit Probability Calculator
Convert an EPSS 30-day score into the probability of exploitation over any horizon, adjusted for KEV listing and public exploit code.
Inputs
Probability Over Your Horizon
33.01%
Probability Within 12 Months
80.30%
Daily Hazard Rate
0.4441%
Expected Days to First Attempt
225days
Applied Threat Multiplier
1.60×
Interpretation
Material probability — patch inside the horizon, not after it
Step by step
Values used
EPSS score (30-day probability) = 8 %; Horizon you care about = 90 days; Listed in CISA KEV = No; Public exploit code = Proof of concept on GitHub — ×1.6
Exploit Probability
Daily hazard = 1 − (1 − EPSS)^(1/30). Adjusted hazard = daily × multiplier, capped at 0.95. Probability over d days = 1 − (1 − adjusted)^d.
Expected time to exploitation
Expected days to first attempt = 1 ÷ adjusted daily hazard, the mean of the geometric distribution implied by a constant hazard.
Probability Over Your Horizon
= 33.01
Probability Within 12 Months
= 80.30
Daily Hazard Rate
= 0.4441
Expected Days to First Attempt
= 225 days
Applied Threat Multiplier
= 1.60 ×
Interpretation
= Material probability — patch inside the horizon, not after it
How it works
EPSS publishes one number for a 30-day window, which is awkward when your patch cycle is quarterly. Converting it to a constant daily hazard lets you re-express it over any horizon, and because the survival function is multiplicative, a 2% 30-day score is roughly 22% over a year rather than 24%. The multipliers are heuristic uplifts, not part of EPSS: a KEV listing means exploitation is already observed, so it dominates. A patch cycle is only defensible if the probability of exploitation across the cycle is acceptable — this is the number that tells you whether your quarterly window is a policy or a gamble.
Formulas
Exploit Probability
Daily hazard = 1 − (1 − EPSS)^(1/30). Adjusted hazard = daily × multiplier, capped at 0.95. Probability over d days = 1 − (1 − adjusted)^d.
- EPSS
- Published 30-day exploitation probability
- daily hazard
- Constant per-day probability implied by EPSS
- multiplier
- 3× for KEV listing, 1–3.5× for exploit code maturity
- d
- Horizon in days
Expected time to exploitation
Expected days to first attempt = 1 ÷ adjusted daily hazard, the mean of the geometric distribution implied by a constant hazard.
Frequently Asked Questions
How is Exploit Probability calculated?
Daily hazard = 1 − (1 − EPSS)^(1/30). Adjusted hazard = daily × multiplier, capped at 0.95. Probability over d days = 1 − (1 − adjusted)^d. EPSS publishes one number for a 30-day window, which is awkward when your patch cycle is quarterly. Converting it to a constant daily hazard lets you re-express it over any horizon, and because the survival function is multiplicative, a 2% 30-day score is roughly 22% over a year rather than 24%. The multipliers are heuristic uplifts, not part of EPSS: a KEV listing means exploitation is already observed, so it dominates.
Why does Exploit Probability matter?
A patch cycle is only defensible if the probability of exploitation across the cycle is acceptable — this is the number that tells you whether your quarterly window is a policy or a gamble.
What values do I need to enter?
This calculator takes 4 inputs: EPSS score (30-day probability), Horizon you care about, Listed in CISA KEV, Public exploit code. The pre-filled defaults are a realistic starting point — replace them with figures from your own environment for a result you can act on.
Is a constant hazard rate realistic?
Not exactly. Real exploitation risk spikes shortly after a proof of concept appears and decays as fleets get patched. The constant-hazard conversion is the standard simplification and is conservative over short horizons, which is the direction you want to be wrong in.
Why does KEV listing multiply rather than set the probability to 100%?
Because KEV means the CVE is exploited somewhere in the world, not that it will be aimed at you. The 3× uplift on the hazard rate reflects a much higher chance of encountering it while keeping the arithmetic honest about targeting.
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