"Incestigation"? Is that the skill you use to figure out if the target is related to you? 
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I'll give an example: an elf and human walk past a secret door. The DC to find the secret door is a 15, the elf has a passive perception of a 16 and the human a passive perception of 11. The DM rolls 1d20+3, and an 11+ means the human doesn't see it, while a 16+ means the elf doesn't either. If neither find it, they can still find it with an active roll. Thus they have a free passive attempt, plus they may make an active attempt if they fail.
Shouldn't it be +4, though?So the DC is used to determine the bonus. Thatās cool and actually would be a great thing to put in text: DC 15 (+3) so that the DM can easily use either. (i know itās not hard to convert on the fly too, but it would act as a reminder)
Shouldn't it be +4, though?
an elf and human walk past a secret door.
I had a player last week bragging about his low-level characters passive perception 20. The fact that he can even get that leads me to think the numbers are broken in this game sometimes. Regardless I will not let traps be automatically found or secret doors noticed the moment he passes them by. I will just keep in mind that he is highly perceptive.
"Incestigation"? Is that the skill you use to figure out if the target is related to you?
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Iām betting he rolled for his stats. And rolled high on almost all of them.
EDIT: I would be suspicious. Max stats you can have is 20 (+5). Right there would be a 15 pP. If your proficient that would make 17. If you have expertise, then 19.
The only way that would happen is if the DM lets the players roll and have more than 20 in a stat.
If I am overlooking something, please let me know.
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I see it as a time saver. If you don't mind rolling the dice Everytime a trap is near and sometimes when one is not then cool. However I don't see how it ruins the fun. If a player in your group had made choices so that he/she is very perceptive then the party will be having fun each time they detect a trap.As A DM, I don't use passive perception. I think it ruins the fun of things that are supposed to be a surprise. Traps or Hiding monsters comes to mind.
With passive perception what is the point of a trap? The player either automatically finds it OR I jack the spot DC and the player automatically doesn't find it. This is barring actively searching for traps of course.
Now players don't have to search for a trap to find it. If I know a trap is coming I will roll perception for the player in secret. If the make the DC, cool. If they don't, cool.
So far my players have not complained the least. But can anyone give me a reason why this is a bad idea or unfair?
I realize that I'M the DM and it's MY game so do works for ME and MY players is cool. So you don't need to tell me things of that nature. I'm looking for arguments in favor of Passive Perception or perhaps alternate ways to use it.
Yea, I would go with the +3, because I use the Passive score of the character as the actual DC of success for the trap/door/ninja/whatever. It's been quite a while since I did the math, but using this assumption, DC-12 was correct. So long as you're consistent, it works either way, so it's just what you're most comfortable with. I used to put the modifier with the DC in my adventure notes, but since I run on Roll20, I just made a Passive Macro to do the work for meEDIT: Wow, rough evening, my math/logic was a total failure on the first pass.
Using the example [MENTION=6775477]Shiroiken[/MENTION] provided, a human with an 11 PP (inferring no proficiency, +1 Wis modifier) has a 40% chance to detect a DC 15 trap when converted to a d20 + 3 DC. The trap is found on a natural die roll of 1, 2, 3, 4, 5, 6, 7, or 8. If the same human was actively making a check against a static DC 15 trap, he'd also have a 35% chance with d20 + modifier. The trap is found on a natural die roll of 14, 15, 16, 17, 18, 19, or 20.
So, yes, +4 is correct for a randomly generated DC since ties still indicate successful detection assuming the standard ability check versus target DC mechanic. However, if you are treating the trap as an opposed roll where a tie does not indicate success (the situation remains unchanged, thus the trap is not detected), you would use +3 instead.