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Message: <blockquote data-quote="Jaelommiss" data-source="post: 6493732" data-attributes="member: 6775925">I think it's worth considering just how rare (according to the random tables) a set of +3 plate is if we are going to worry about players getting an absurdly high AC. I will focus on +3 Plate, though similar excercises could be used to see how long it will take to get any 'problem' magical item.According to the typical magic item thread, a party can expect four legendary magic items from level 1-20. Assuming a levelling rate of one level per four sessions, and one session per week, we can expect one legendary item every 20 weeks. Of course, it will be far more likely to have one every four weeks for the final sixteen weeks, but by the time we get to a 50% chance of having found the set of plate the difference will be negligible.Every 20 weeks you get a single shot at magic item table I. The plate is obtained by first rolling 76 on your percentile, and then 12 on a d12 to determine the exact armour found. That's a 1/1200 chance of actually getting the armour you want. That could also be written as 0.083%. Given four shots per campaign, you have a 0.33% chance of finding +3 plate.To figure out just have many rolls on Table I we need to get a 50% chance of having seen a set of +3 plate, we'll use the equation 0.50=[1-(1/1200)]^x. This can be rewritten as x = ln(0.5)/ln(0.999167), and when solved give us 831.76. We'll round that up to 832.Just how long will it take us to roll 832 times on Table I? Well, given that we roll an average of once every 20 weeks, that means that after 16640 weeks, or just shy of 320 years there will be a 50% chance that we will have seen that armour. In that time we will have completed 208 campaigns from level 1-20. We also will have found an average of 25 Vorpal Swords. If +3 Plate is that rare, then I will not waste any time worrying about possible ways it could be abused. If my players are willing to play weekly for over three centuries, they've earned it.</blockquote>

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