Math Help - Maximum Damage

Hi. I'm playing an online game and I have a decision to make. I'm trying to get the maximum damage I can get and one of the decisions I have to make is proving a little difficult. I have to equip an item and I have a choice between one item that does +100 damage per hit and another item that gives me +13% chance of critical damage per hit.

My Normal Damage (non critical) is 2279 per hit
A Critical Hit does 4624 (which is an extra 2345 dmg than a normal hit)

The question is, over a long period of time, which item should I equip? +100 damage per hit guaranteed or an extra 13% chance of +2345 damage?

Originally Posted by Corpsecreate

Hi. I'm playing an online game and I have a decision to make. I'm trying to get the maximum damage I can get and one of the decisions I have to make is proving a little difficult. I have to equip an item and I have a choice between one item that does +100 damage per hit and another item that gives me +13% chance of critical damage per hit.

My Normal Damage (non critical) is 2279 per hit
A Critical Hit does 4624 (which is an extra 2345 dmg than a normal hit)

The question is, over a long period of time, which item should I equip? +100 damage per hit guaranteed or an extra 13% chance of +2345 damage?

What does "+100 damage" mean? 100 times 2279= 227900 or 2279+ 100= 2379?

If the former, then the "+100" item is far better. If the latter, which is more likely, .13(4624)= 601 so the "13%" item does an average of only 601 per hit and the "+100" is still much better.

+100 damage means instead of doing 2279 damage per hit you do 2379. Taking 13% of the critical damage doesnt make sense to me. If anything, shouldnt you be taking 13% of (4624-2279) = 305

Since writing this I have tried it using binomial probabilities and I find that the +13% critical is better.

Originally Posted by Corpsecreate

Hi. I'm playing an online game and I have a decision to make. I'm trying to get the maximum damage I can get and one of the decisions I have to make is proving a little difficult. I have to equip an item and I have a choice between one item that does +100 damage per hit and another item that gives me +13% chance of critical damage per hit.

My Normal Damage (non critical) is 2279 per hit
A Critical Hit does 4624 (which is an extra 2345 dmg than a normal hit)

The question is, over a long period of time, which item should I equip? +100 damage per hit guaranteed or an extra 13% chance of +2345 damage?

The expected damage with the +100 item is

The expected damage from the +13% on critical item is

It would be normal practice to choose the option with the higher expected damage.

CB