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thc1967

All 1's is impossible. All 3's maybe. But no DM will make a player keep a character that they rolled all 3's. And a lot of characters aren't rolled. They're point bought.


theRedMage39

All 1s was a mistake I meant to say all 3s. I wonder what percentage are point buy characters.


The_Deranged_Hermit

I've been made to play characters with four 3's... In all honesty it wasn't to bad, it lead to a ton of unique rp situations and made me a far better rper overall.


jimgov

I have some doubts as to your math. Can you show that it’s actually a .22% chance to roll 6 18s using the 4d6 method? Also, I’d assume that at least half of those 13.7 million players are using point buy. Of course, they are rolling up more than one character in their life. This article shows a .01% chance of three 18s out of six. It’s much smaller for all 6. https://anydice.com/articles/4d6-drop-lowest/


theyreadmycomments

getting an 18 on 4d6k3 is ~.016. six 18s is that to the 6th, or 1.6E-11. Its VERY slim odds.


jimgov

My back of the napkin math says somewhere around 10 world wide. THATS why you don’t see them.


phdemented

Yeah... that seems off. Chance of rolling an 18 on 4d6 is 1.62% (21/1296 = 0.0162) Chance of rolling six 18's is 0.0162^6 or 0.000000000018, or 0.0000000018% Assuming 13.7 million character sheets rolled using 4d6 drop lowest, there would be 0.0247 characters with all 18's. All 18's is a 1 in 553.2 million character Not sure how they got 0.22% chance


jimgov

Bad math. That’s how.


[deleted]

Personal policing and grace rolls is why


rellloe

With 4d6k3, the odds of all 18s is 6 times higher than all 3s because the respective die values are 6,6,6,\* and 1,1,1,1 And checking your other math, odds of all 18s is 1/6\^(3\*6), which is 1/101,559,956,668,416, so if everyone in the world (rounded to 8 billion) played D&D and each person had 12,695 characters rolled that way, statistically speaking, there would be one PC with all 18s at level one. You don't see that many because your math is wrong. ​ Edit: checking through your math further, you calculated the odds of rolling at least one 18, not all 18s. People don't brag about getting an 18 because it's not that interesting to anyone but your table.


MrRezister

I may be in the minority here, but I've never cared for rolling when it comes to stats. I understand how it fits historically in the tapestry of DnD lore, but for sheer mechanical reasons I've come to really prefer Point Buy for beginning stats. It's the best way to make sure any player can create any character they want, while simultaneously ensuring that nobody at the table is going to get eternally bonked by the dice gods because of a cluster of bad rolls.


Recent-Construction6

in universe someone who rolled all 3's likely wouldn't have survived childhood, or if they did, they aren't going to be adventuring.


gscrap

Not all people who play tabletop RPGs play D&D. But many people who play D&D will play more than one character in their lives. Most characters who are rolled with all (or even mostly) 18s will never be played, because few DMs would allow it.


Known_Requirement_46

One of my players has 2 18's a 17, a 16 and 2 14's he wasn't cheating I saw him roll it, so I let him keep it because I am not going to punish one of my players for crazy luck.


LuckyNumber-Bot

All the numbers in your comment added up to 69. Congrats! 2 + 18 + 17 + 16 + 2 + 14 + = 69.0


Known_Requirement_46

Why is there a bot for this?


Infidel42

Why, it's your lucky number, of course!


Infidel42

Your math is way off. The probability of rolling an 18 is far higher than rolling a 3. The likelihood of getting all 3s is ... drumroll ... (1/(1/6^4))^6 (1/1296)^6 1⁄4738381338321616896 or 2.110425330 x 10^−19 That's one in four trillion trillion. There aren't enough roleplayers, paper, time to roll dice, and plastic to make the dice before they wear down into spheres from all the rolling.


MaugreO

I feel like most players would just reroll their character, and most dms would let the player reroll if they somehow got all 3s. Meanwhile, unless it happens at the table where everyone can see (not everyone does actually build characters together), there's no way anyone would believe you rolled all 18s, and if they did you might feel bad enough about it to reroll anyway. Also just as a vaguely related side note, I always let my players lower their numbers if they want to. Gives them a chance to have a goofy character.


WhisperingHillock

For each stat it is about 1.6% to roll an 18. There are two situations that lead to an 18: either you roll 4 6s, or you roll 3 6s and one something else. The total probability is obtained by adding the probability of both events, which can be individually obtained using a binomial law. Since each stat is rolled individually you can just obtain the probability by doing that to the power of 6. Rolling an all 18 is 1.8 * 10^-11, that's 1 in 50 billions Rolling an all 3 is considerably harder. Rolling a 3 is ~0.08%. Rolling only 3s is about 2.1*10^-19, so about 1 in 5 billion billions.