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Message: <blockquote data-quote="Majoru Oakheart" data-source="post: 6349144" data-attributes="member: 5143">CR 3 Ogres might not but if we're talking about CR 15 monster when you are level 20...there's certainly a possibility that they hit more often than some of the CR 20 monsters by having bigger bonuses.As for the math, it's not precisely 1/2 level.  It is about 1/2 level for monsters with bumps at certain levels to account for an increase in stat modifiers and magic weapons and armor from the PCs.  The math was designed so that PCs had about the same chance to hit a monster of equal level at level 1 as level 30.  Which meant it was more precisely 1/2 per level with a bonus of 13 or so extra spread out over 30 levels, or about +0.93 bonus to hit per level.The quick and dirty rules said to just add 1 for every level.  But the reason it fell apart after about 5 levels is because 1 per level isn't correct(mostly because the extra 13 isn't spread out evenly amongst the levels and comes in bursts).Either way, I was trying to simplify.  I didn't think a precise number was necessary in this case.</blockquote>