Math Is Fun Forum

rpgnerd

Guest

Nerdy Request

I hope it's ok to ask this here.

I'm working on an role playing game and I need help with a combat formula.

What formula would make all 3 of these statements true?

1) If attacker has Weapon Skill of 100 (maximum) and defender has Parry skill of 0 (minimum), then attacker has 100% chance of hitting defender.

2) If attacker has Weapon Skill of 0 (minimum) and defender has Parry skill of 100 (maximum), then attacker has 0% chance of hitting defender.

3) If Weapon Skill = Parry Skill, whether both 0 or both 100 (or anything in between) attacker has 50% chance of hitting defender.

So basically I need to be able to figure out the chance to hit for 0-100 vs 0-100
eg. attacker has a Weapon skill of 73 and the defender Parry skill of 29

mathsyperson

Moderator

Registered: 2005-06-22

Posts: 4,900

Re: Nerdy Request

I think I've got an answer.

If the attacker's weapon skill is W, and the defender's parry skill is P, then the % chance of a hit can be given by:

Using that, in your example the chance of a hit would be (100+73-29)/2 = 72%.

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Why did the vector cross the road?
It wanted to be normal.

MathsIsFun

Administrator

Registered: 2005-01-21

Posts: 7,711

Re: Nerdy Request

And if the attacker has a Weapon skill of 90 and the defender Parry skill of 80, then the chance of a hit is 55%. Sounds fair.

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"The physicists defer only to mathematicians, and the mathematicians defer only to God ..."  - Leon M. Lederman

rpgnerd

Guest

Re: Nerdy Request

perfect! thanks guys