This post has potentially manipulated dice roll results.
6+8+2+7=23
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Hello! Call meTana. My pronouns are She/Her. I am a teenager. I have Autism and ADHD. And, you would probably call me trans femme, Pansexual pancake, and ace I will mother you if you are being stupid. ALL HAIL MERLIN! [roll]1d4[/roll] + [roll]1d4[/roll] + [roll]1d4[/roll] + [roll]1d4[/roll] + [roll]1d4[/roll] + [roll]1d4[/roll] = [roll][roll:-6]+[roll:-5]+[roll:-4]+[roll:-3]+[roll:-2]+[roll:-1][/roll] I have adopted Golden, Salem, Wes, Aspen, and Foalin.
Hello! Call meTana. My pronouns are She/Her. I am a teenager. I have Autism and ADHD. And, you would probably call me trans femme, Pansexual pancake, and ace I will mother you if you are being stupid. ALL HAIL MERLIN! [roll]1d4[/roll] + [roll]1d4[/roll] + [roll]1d4[/roll] + [roll]1d4[/roll] + [roll]1d4[/roll] + [roll]1d4[/roll] = [roll][roll:-6]+[roll:-5]+[roll:-4]+[roll:-3]+[roll:-2]+[roll:-1][/roll] I have adopted Golden, Salem, Wes, Aspen, and Foalin.
Hello! Call meTana. My pronouns are She/Her. I am a teenager. I have Autism and ADHD. And, you would probably call me trans femme, Pansexual pancake, and ace I will mother you if you are being stupid. ALL HAIL MERLIN! [roll]1d4[/roll] + [roll]1d4[/roll] + [roll]1d4[/roll] + [roll]1d4[/roll] + [roll]1d4[/roll] + [roll]1d4[/roll] = [roll][roll:-6]+[roll:-5]+[roll:-4]+[roll:-3]+[roll:-2]+[roll:-1][/roll] I have adopted Golden, Salem, Wes, Aspen, and Foalin.
This post has potentially manipulated dice roll results.
4+1+5+7=17
Rollback Post to RevisionRollBack
Hello! Call meTana. My pronouns are She/Her. I am a teenager. I have Autism and ADHD. And, you would probably call me trans femme, Pansexual pancake, and ace I will mother you if you are being stupid. ALL HAIL MERLIN! [roll]1d4[/roll] + [roll]1d4[/roll] + [roll]1d4[/roll] + [roll]1d4[/roll] + [roll]1d4[/roll] + [roll]1d4[/roll] = [roll][roll:-6]+[roll:-5]+[roll:-4]+[roll:-3]+[roll:-2]+[roll:-1][/roll] I have adopted Golden, Salem, Wes, Aspen, and Foalin.
Case I: 6, 6, 4, A (6,6,4,A) (6,4,6,A) (6,4,A,6) (4,6,6,A) (4,6,A,6) (4,A,6,6) and the same number again with the 4 and the A switched making 12 permutations; A=3 so ...
12 x 3 = 36
Case II: 6, 5, 5, B (5,5,6,B) (5,6,5,B) (5,6,B,5) (6,5,5,B) (6,5,B,5) (6,B,5,5) and there are the same number again with the 6 and the B switched making 12 permutations; B=4 so ...
12 x 4 = 48
And the special cases (6,6,4,4) x 6 and (6,5,5,5) x 4 producing 10 extra cases.
Therefore, it appears we have (36 + 48 + 10) / 1296 = 7.25%
Hello! Call meTana. My pronouns are She/Her. I am a teenager. I have Autism and ADHD. And, you would probably call me trans femme, Pansexual pancake, and ace I will mother you if you are being stupid. ALL HAIL MERLIN! [roll]1d4[/roll] + [roll]1d4[/roll] + [roll]1d4[/roll] + [roll]1d4[/roll] + [roll]1d4[/roll] + [roll]1d4[/roll] = [roll][roll:-6]+[roll:-5]+[roll:-4]+[roll:-3]+[roll:-2]+[roll:-1][/roll] I have adopted Golden, Salem, Wes, Aspen, and Foalin.
Hello! Call meTana. My pronouns are She/Her. I am a teenager. I have Autism and ADHD. And, you would probably call me trans femme, Pansexual pancake, and ace I will mother you if you are being stupid. ALL HAIL MERLIN! [roll]1d4[/roll] + [roll]1d4[/roll] + [roll]1d4[/roll] + [roll]1d4[/roll] + [roll]1d4[/roll] + [roll]1d4[/roll] = [roll][roll:-6]+[roll:-5]+[roll:-4]+[roll:-3]+[roll:-2]+[roll:-1][/roll] I have adopted Golden, Salem, Wes, Aspen, and Foalin.
(For a 32!!) Roll 4d8 = 4 + 1 + 1 + 7= Unable to parse dice roll.
So an 18 with 4d6 drop lowest is 21 / 1296 = 1.62 %
A 17 with 4d6 drop lowest is 54 / 1296 = 4.17 %
and a 16 with 4d6 drop lowest is 94 / 1296 = 7.25 %
So, we can add the percentages for 17 + 18 to get the probability of at least a 17 ... 5.79 %
And we can add the percentages for 16 + 17 + 18 to get the probability of at least a 16 ... 13.04 %
But the real question is usually, what are the chances of getting an 18 as a skill out of six rolls? To get that, we compute the chance of not getting an 18 in six rolls, and subtract that from 100%.
1 - (1 - 0.0162) ^ 6 = 9.33 %
But this includes getting one 18, or two, or three, or four ...
What is the probability of getting just one 18?
(1 - 0.0162) ^ 5 x 0.0162 = 1.49 %
What is the probability of getting at least one 17 or better out of 6 skill rolls?
1 - (1 - 0.0579) ^ 6 = 30.08 %
And the probability of only one score of 17 or 18?
(1 - 0.0579) ^ 5 * 0.0579 = 4.30 %
What is the probability of getting at least one 16 or better out of 6 skill rolls?
1 - (1 - 0.1304) ^ 6 = 56.76 %
And the probability of getting only one score of 16, 17 or 18?
Hello! Call meTana. My pronouns are She/Her. I am a teenager. I have Autism and ADHD. And, you would probably call me trans femme, Pansexual pancake, and ace I will mother you if you are being stupid. ALL HAIL MERLIN! [roll]1d4[/roll] + [roll]1d4[/roll] + [roll]1d4[/roll] + [roll]1d4[/roll] + [roll]1d4[/roll] + [roll]1d4[/roll] = [roll][roll:-6]+[roll:-5]+[roll:-4]+[roll:-3]+[roll:-2]+[roll:-1][/roll] I have adopted Golden, Salem, Wes, Aspen, and Foalin.
My online big sib is fry_doodles, they’re awesome!
My best friendos: TheGatoLover, Bananer28046, and I’m probably forgetting some… Arboreal Masterpiece and Sorlock Fanatic! Ace (part of the garlic bread cult), Demiaro, genderfluid, and a pan pancake! :3 Bye bye!
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4d8=15
7th Member of the High Roller Society
6+8+2+7=23
Hello! Call me Tana.
My pronouns are She/Her.
I am a teenager. I have Autism and ADHD. And, you would probably call me trans femme, Pansexual pancake, and ace
I will mother you if you are being stupid.
ALL HAIL MERLIN! [roll]1d4[/roll] + [roll]1d4[/roll] + [roll]1d4[/roll] + [roll]1d4[/roll] + [roll]1d4[/roll] + [roll]1d4[/roll] = [roll][roll:-6]+[roll:-5]+[roll:-4]+[roll:-3]+[roll:-2]+[roll:-1][/roll]
I have adopted Golden, Salem, Wes, Aspen, and Foalin.
4d8=16
.
7th Member of the High Roller Society
4+6+2+4=16
Hello! Call me Tana.
My pronouns are She/Her.
I am a teenager. I have Autism and ADHD. And, you would probably call me trans femme, Pansexual pancake, and ace
I will mother you if you are being stupid.
ALL HAIL MERLIN! [roll]1d4[/roll] + [roll]1d4[/roll] + [roll]1d4[/roll] + [roll]1d4[/roll] + [roll]1d4[/roll] + [roll]1d4[/roll] = [roll][roll:-6]+[roll:-5]+[roll:-4]+[roll:-3]+[roll:-2]+[roll:-1][/roll]
I have adopted Golden, Salem, Wes, Aspen, and Foalin.
4d8=17
.
7th Member of the High Roller Society
:4+1+6+6=17
Hello! Call me Tana.
My pronouns are She/Her.
I am a teenager. I have Autism and ADHD. And, you would probably call me trans femme, Pansexual pancake, and ace
I will mother you if you are being stupid.
ALL HAIL MERLIN! [roll]1d4[/roll] + [roll]1d4[/roll] + [roll]1d4[/roll] + [roll]1d4[/roll] + [roll]1d4[/roll] + [roll]1d4[/roll] = [roll][roll:-6]+[roll:-5]+[roll:-4]+[roll:-3]+[roll:-2]+[roll:-1][/roll]
I have adopted Golden, Salem, Wes, Aspen, and Foalin.
Wow N-Nick, you're right on the mark with you're thinking. Yes, the 21 comes from a special case, where the extra 6 needs to be treated differently.
Deriving the expressions for the the other ones will be interesting.
(For a 32!!) Roll 4d8 = 6 + 1 + 5 + 7= 19
4+1+5+7=17
Hello! Call me Tana.
My pronouns are She/Her.
I am a teenager. I have Autism and ADHD. And, you would probably call me trans femme, Pansexual pancake, and ace
I will mother you if you are being stupid.
ALL HAIL MERLIN! [roll]1d4[/roll] + [roll]1d4[/roll] + [roll]1d4[/roll] + [roll]1d4[/roll] + [roll]1d4[/roll] + [roll]1d4[/roll] = [roll][roll:-6]+[roll:-5]+[roll:-4]+[roll:-3]+[roll:-2]+[roll:-1][/roll]
I have adopted Golden, Salem, Wes, Aspen, and Foalin.
(For a 32!!) Roll 4d8 = 6 + 8 + 5 + 8= 27
Apologies Gato, but I'm going to geek out a bit.
So, let's look at the case for a 16 ...
Case I: 6, 6, 4, A (6,6,4,A) (6,4,6,A) (6,4,A,6) (4,6,6,A) (4,6,A,6) (4,A,6,6) and the same number again with the 4 and the A switched making 12 permutations; A=3 so ...
12 x 3 = 36
Case II: 6, 5, 5, B (5,5,6,B) (5,6,5,B) (5,6,B,5) (6,5,5,B) (6,5,B,5) (6,B,5,5) and there are the same number again with the 6 and the B switched making 12 permutations; B=4 so ...
12 x 4 = 48
And the special cases (6,6,4,4) x 6 and (6,5,5,5) x 4 producing 10 extra cases.
Therefore, it appears we have (36 + 48 + 10) / 1296 = 7.25%
Now, what are the chances of rolling 4 ones
Which has happened to me, twice
8+5+8+5=26
Hello! Call me Tana.
My pronouns are She/Her.
I am a teenager. I have Autism and ADHD. And, you would probably call me trans femme, Pansexual pancake, and ace
I will mother you if you are being stupid.
ALL HAIL MERLIN! [roll]1d4[/roll] + [roll]1d4[/roll] + [roll]1d4[/roll] + [roll]1d4[/roll] + [roll]1d4[/roll] + [roll]1d4[/roll] = [roll][roll:-6]+[roll:-5]+[roll:-4]+[roll:-3]+[roll:-2]+[roll:-1][/roll]
I have adopted Golden, Salem, Wes, Aspen, and Foalin.
4d8 attempt: 4 + 4 + 7 + 2 = 17
Last to know and first to be blamed...
As a free action, can I regret my life choices?
Hi merlin!
4+3+8+7=22
And, for my last post, what are the chances of rolling a 24, on 4d8?
Hello! Call me Tana.
My pronouns are She/Her.
I am a teenager. I have Autism and ADHD. And, you would probably call me trans femme, Pansexual pancake, and ace
I will mother you if you are being stupid.
ALL HAIL MERLIN! [roll]1d4[/roll] + [roll]1d4[/roll] + [roll]1d4[/roll] + [roll]1d4[/roll] + [roll]1d4[/roll] + [roll]1d4[/roll] = [roll][roll:-6]+[roll:-5]+[roll:-4]+[roll:-3]+[roll:-2]+[roll:-1][/roll]
I have adopted Golden, Salem, Wes, Aspen, and Foalin.
Had to consult an AI oracle (Gemini) for that one, as that's beyond my statistics background!
The probability of the dice values adding up to 24 when rolling an 8-sided dice four times is 161/4096, which is approximately 0.0393 (or 3.93%).
This is calculated by finding the number of successful outcomes (combinations that sum to 24) and dividing it by the total possible outcomes.
1. Total Possible Outcomes
Since the 8-sided die has 8 possible results for each of the 4 rolls, the total number of unique outcomes is: Total Outcomes = 8^4 = 4096
2. Number of Favorable Outcomes
We are looking for the number of integer solutions to the equation: x1 + x2 + x3 + x4 = 24
<skipping a metric ton of math, referred to as "Stars and Bars combined with the Principle of Inclusion-Exclusion (PIE)">
3. Final Probability
Probability = (Favorable Outcomes) / (Total Outcomes) = 161 / 4096
4d8 attempt: 7 + 1 + 5 + 5 = 18
Last to know and first to be blamed...
As a free action, can I regret my life choices?
4d8=19
7th Member of the High Roller Society
Gato, for ones with d6? yikes!
1 / 1296 = 0.077% chance.
(For a 32!!) Roll 4d8 = 4 + 1 + 1 + 7= Unable to parse dice roll.
So an 18 with 4d6 drop lowest is 21 / 1296 = 1.62 %
A 17 with 4d6 drop lowest is 54 / 1296 = 4.17 %
and a 16 with 4d6 drop lowest is 94 / 1296 = 7.25 %
So, we can add the percentages for 17 + 18 to get the probability of at least a 17 ... 5.79 %
And we can add the percentages for 16 + 17 + 18 to get the probability of at least a 16 ... 13.04 %
But the real question is usually, what are the chances of getting an 18 as a skill out of six rolls? To get that, we compute the chance of not getting an 18 in six rolls, and subtract that from 100%.
1 - (1 - 0.0162) ^ 6 = 9.33 %
But this includes getting one 18, or two, or three, or four ...
What is the probability of getting just one 18?
(1 - 0.0162) ^ 5 x 0.0162 = 1.49 %
What is the probability of getting at least one 17 or better out of 6 skill rolls?
1 - (1 - 0.0579) ^ 6 = 30.08 %
And the probability of only one score of 17 or 18?
(1 - 0.0579) ^ 5 * 0.0579 = 4.30 %
What is the probability of getting at least one 16 or better out of 6 skill rolls?
1 - (1 - 0.1304) ^ 6 = 56.76 %
And the probability of getting only one score of 16, 17 or 18?
(1 - 0.1304) ^ 5 x 0.1304 = 6.48 %
4d8=22
7th Member of the High Roller Society
(For a 32!!) Roll 4d8 = 2 + 1 + 7 + 1= 11
4+4+1+4=13
Hello! Call me Tana.
My pronouns are She/Her.
I am a teenager. I have Autism and ADHD. And, you would probably call me trans femme, Pansexual pancake, and ace
I will mother you if you are being stupid.
ALL HAIL MERLIN! [roll]1d4[/roll] + [roll]1d4[/roll] + [roll]1d4[/roll] + [roll]1d4[/roll] + [roll]1d4[/roll] + [roll]1d4[/roll] = [roll][roll:-6]+[roll:-5]+[roll:-4]+[roll:-3]+[roll:-2]+[roll:-1][/roll]
I have adopted Golden, Salem, Wes, Aspen, and Foalin.
(For a 32!!) Roll 4d8 = 4 + 4 + 2 + 4= 14
32 ATTEMPT:3+3+7+5=Unable to parse dice roll.
Heyo, I’m Starry, aka Aspen!
My hobbies: reading, crocheting, tennis, murder, arson, homicide :3 Pronouns: any!
My online big sib is fry_doodles, they’re awesome!
My best friendos: TheGatoLover, Bananer28046, and I’m probably forgetting some… Arboreal Masterpiece and Sorlock Fanatic! Ace (part of the garlic bread cult), Demiaro, genderfluid, and a pan pancake! :3 Bye bye!