This post has potentially manipulated dice roll results.
(For a 32!!) Roll 4d8 = 3 + 4 + 2 + 3= 12
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%
This post has potentially manipulated dice roll results.
Gato, for ones with d6? yikes!
1 / 1296 = 0.077% chance.
(For a 32!!) Roll 4d8 = 4 + 8 + 3 + 8= 23
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?
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=22
7th Member of the High Roller Society
6+6+4+1=17
Hello! Call me Tana or 타나
My pronouns are Any/All/BOC
Current List of Children: Golden, Salem, Wes, Aspen, Link, SuperDog, and Foalin.
Current Dice Code: [roll]1d6[/roll] + [roll]1d6[/roll] + [roll]1d6[/roll] + [roll]1d6[/roll] + [roll]1d6[/roll] = [roll][roll:-5]+[roll:-4]+[roll:-3]+[roll:-2]+[roll:-1][/roll]
Officially GAY!
4d8=16
.
7th Member of the High Roller Society
4+6+2+4=16
Hello! Call me Tana or 타나
My pronouns are Any/All/BOC
Current List of Children: Golden, Salem, Wes, Aspen, Link, SuperDog, and Foalin.
Current Dice Code: [roll]1d6[/roll] + [roll]1d6[/roll] + [roll]1d6[/roll] + [roll]1d6[/roll] + [roll]1d6[/roll] = [roll][roll:-5]+[roll:-4]+[roll:-3]+[roll:-2]+[roll:-1][/roll]
Officially GAY!
4d8=17
.
7th Member of the High Roller Society
:4+1+6+6=17
Hello! Call me Tana or 타나
My pronouns are Any/All/BOC
Current List of Children: Golden, Salem, Wes, Aspen, Link, SuperDog, and Foalin.
Current Dice Code: [roll]1d6[/roll] + [roll]1d6[/roll] + [roll]1d6[/roll] + [roll]1d6[/roll] + [roll]1d6[/roll] = [roll][roll:-5]+[roll:-4]+[roll:-3]+[roll:-2]+[roll:-1][/roll]
Officially GAY!
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 or 타나
My pronouns are Any/All/BOC
Current List of Children: Golden, Salem, Wes, Aspen, Link, SuperDog, and Foalin.
Current Dice Code: [roll]1d6[/roll] + [roll]1d6[/roll] + [roll]1d6[/roll] + [roll]1d6[/roll] + [roll]1d6[/roll] = [roll][roll:-5]+[roll:-4]+[roll:-3]+[roll:-2]+[roll:-1][/roll]
Officially GAY!
(For a 32!!) Roll 4d8 = 3 + 4 + 2 + 3= 12
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 or 타나
My pronouns are Any/All/BOC
Current List of Children: Golden, Salem, Wes, Aspen, Link, SuperDog, and Foalin.
Current Dice Code: [roll]1d6[/roll] + [roll]1d6[/roll] + [roll]1d6[/roll] + [roll]1d6[/roll] + [roll]1d6[/roll] = [roll][roll:-5]+[roll:-4]+[roll:-3]+[roll:-2]+[roll:-1][/roll]
Officially GAY!
4d8 attempt: 4 + 6 + 1 + 6 = 17
Last to know and first to be blamed...
As a free action, can I regret my life choices?
Hi merlin!
4+2+6+4=16
And, for my last post, what are the chances of rolling a 24, on 4d8?
Hello! Call me Tana or 타나
My pronouns are Any/All/BOC
Current List of Children: Golden, Salem, Wes, Aspen, Link, SuperDog, and Foalin.
Current Dice Code: [roll]1d6[/roll] + [roll]1d6[/roll] + [roll]1d6[/roll] + [roll]1d6[/roll] + [roll]1d6[/roll] = [roll][roll:-5]+[roll:-4]+[roll:-3]+[roll:-2]+[roll:-1][/roll]
Officially GAY!
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 + 8 + 3 + 8= 23
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 or 타나
My pronouns are Any/All/BOC
Current List of Children: Golden, Salem, Wes, Aspen, Link, SuperDog, and Foalin.
Current Dice Code: [roll]1d6[/roll] + [roll]1d6[/roll] + [roll]1d6[/roll] + [roll]1d6[/roll] + [roll]1d6[/roll] = [roll][roll:-5]+[roll:-4]+[roll:-3]+[roll:-2]+[roll:-1][/roll]
Officially GAY!
(For a 32!!) Roll 4d8 = 4 + 4 + 2 + 4= 14
32 ATTEMPT:8+3+2+3=16
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!