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Calculators · Free

Fixed-hit combat expectation

Estimate attack counts for a tabletop damage model.

01Enter your values

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Round health divided by fixed damage upward to get required hits. Divide hits by success probability for expected attacks; subtract hits for expected misses.

Example
%

How it works

Estimate attack counts for a tabletop damage model.

h=ceil(HP/damage); E[attacks]=h/p; E[misses]=h(1−p)/p

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About this tool

Estimate attack counts for a tabletop damage model.

Round health divided by fixed damage upward to get required hits. Divide hits by success probability for expected attacks; subtract hits for expected misses.

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How to use it

  1. Enter your values

    Target health · Fixed damage per hit · Success per die

  2. Calculate / generate

    Estimate attack counts for a tabletop damage model.

  3. Result

    Expected attacks: 6 Hits required: 3 Expected misses: 3

Calculation method

  1. Round health divided by fixed damage upward to get required hits.
  2. Divide hits by success probability for expected attacks; subtract hits for expected misses.
h=ceil(HP/damage); E[attacks]=h/p; E[misses]=h(1−p)/p
Example scenario

Fixed-hit combat expectation

Target health
25
Fixed damage per hit
10
Success per die
50 %
Result
Expected attacks: 6
Hits required: 3
Expected misses: 3

Frequently asked questions

Limits and key assumptions

Not a win percentage or guaranteed number of turns. No critical hits, variable damage, healing or changing hit chance. Supply the final hit chance, not an armor-class score.

Where does my data go?

Calculations run on your device. Form inputs are not sent to a server.

Terms and definitions

Enter your values

Target health

Round health divided by fixed damage upward to get required hits.

Enter a numerical value for this quantity.

Minimum: 0.000001 · Maximum: 1000000000

Fixed damage per hit

Round health divided by fixed damage upward to get required hits.

Enter a numerical value for this quantity.

Minimum: 0.000001 · Maximum: 1000000000

Success per die

Divide hits by success probability for expected attacks; subtract hits for expected misses.

Enter a percentage, not its decimal fraction: 50 means 50%. Use the unit shown beside this field. %

Minimum: 0.000001 · Maximum: 100 %

Result

Result

Round health divided by fixed damage upward to get required hits. Divide hits by success probability for expected attacks; subtract hits for expected misses.

Calculated from your entries using the method below.

Expected attacks

Divide hits by success probability for expected attacks; subtract hits for expected misses.

Calculated from your entries using the method below.

Hits required

Round health divided by fixed damage upward to get required hits.

Calculated from your entries using the method below.

Expected misses

Divide hits by success probability for expected attacks; subtract hits for expected misses.

Calculated from your entries using the method below.

Value

Round health divided by fixed damage upward to get required hits. Divide hits by success probability for expected attacks; subtract hits for expected misses.

Calculated from your entries using the method below.

Unit

Round health divided by fixed damage upward to get required hits. Divide hits by success probability for expected attacks; subtract hits for expected misses.

Calculated from your entries using the method below.

Common mistakes and quick fixes

Success per die

Mistake: Entering 0.5 when you mean 50%.

Fix: Enter 50 for 50%; 0.5 represents 0.5%.

Limits and key assumptions

Mistake: Treating a result as valid outside the described scope.

Fix: Not a win percentage or guaranteed number of turns. No critical hits, variable damage, healing or changing hit chance. Supply the final hit chance, not an armor-class score.

Limits and key assumptions

  • Not a win percentage or guaranteed number of turns. No critical hits, variable damage, healing or changing hit chance. Supply the final hit chance, not an armor-class score.
  • Displayed results may be rounded; rounding does not add measurement precision.