Hello! Call me GAYto or Gato (Cat in Spanish) My pronouns are They/She (Prefers She/her) I am a teenager. I have ADHD, Depression, and anxiety. I'm also Genderfae, Trans, Aromantic, and Asexual but this community means the world to me; you can't change that about me :[roll]1d8[/roll] + [roll]1d8[/roll] + [roll]1d8[/roll] + [roll]1d8[/roll] = [roll][roll:-4]+[roll:-3]+[roll:-2]+[roll:-1][/roll] I have adopted Golden, Salem, Wes, and Aspen
If I'm reading your request correctly, is your question What are the odds of rolling a 20-sided dice, 6 times in a row, and having the total of all 6 rolls add up to 35?
Step 1: Total possible outcomes = 20^6 = 64,000,000
Step 2: How many ways can the six rolls add up to 35? We use what's known as the inclusion-exclusion principle here, and do lots of silly math in Matlab to come up with 266,244 possible roll combinations that would add up to 35.
Step 3: Calculate the probability of this occurring: 266,244 / 64,000,000 = 0.0041600625 = 0.4160%.
Hello! Call me GAYto or Gato (Cat in Spanish) My pronouns are They/She (Prefers She/her) I am a teenager. I have ADHD, Depression, and anxiety. I'm also Genderfae, Trans, Aromantic, and Asexual but this community means the world to me; you can't change that about me :[roll]1d8[/roll] + [roll]1d8[/roll] + [roll]1d8[/roll] + [roll]1d8[/roll] = [roll][roll:-4]+[roll:-3]+[roll:-2]+[roll:-1][/roll] I have adopted Golden, Salem, Wes, and Aspen
This post has potentially manipulated dice roll results.
No, its, you roll the d20, and then roll an equal amount of d6s
:3 + 1 + 4 + 6 = 14
Edited for clarity, not cheating
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Hello! Call me GAYto or Gato (Cat in Spanish) My pronouns are They/She (Prefers She/her) I am a teenager. I have ADHD, Depression, and anxiety. I'm also Genderfae, Trans, Aromantic, and Asexual but this community means the world to me; you can't change that about me :[roll]1d8[/roll] + [roll]1d8[/roll] + [roll]1d8[/roll] + [roll]1d8[/roll] = [roll][roll:-4]+[roll:-3]+[roll:-2]+[roll:-1][/roll] I have adopted Golden, Salem, Wes, and Aspen
Hello! Call me GAYto or Gato (Cat in Spanish) My pronouns are They/She (Prefers She/her) I am a teenager. I have ADHD, Depression, and anxiety. I'm also Genderfae, Trans, Aromantic, and Asexual but this community means the world to me; you can't change that about me :[roll]1d8[/roll] + [roll]1d8[/roll] + [roll]1d8[/roll] + [roll]1d8[/roll] = [roll][roll:-4]+[roll:-3]+[roll:-2]+[roll:-1][/roll] I have adopted Golden, Salem, Wes, and Aspen
Hello! Call me GAYto or Gato (Cat in Spanish) My pronouns are They/She (Prefers She/her) I am a teenager. I have ADHD, Depression, and anxiety. I'm also Genderfae, Trans, Aromantic, and Asexual but this community means the world to me; you can't change that about me :[roll]1d8[/roll] + [roll]1d8[/roll] + [roll]1d8[/roll] + [roll]1d8[/roll] = [roll][roll:-4]+[roll:-3]+[roll:-2]+[roll:-1][/roll] I have adopted Golden, Salem, Wes, and Aspen
So, what you're looking for are the odds of: 1) Rolling a d20, and reading the result (let's say it results in a 7) 2) Rolling a d6 <that> many times (in my example, 7 times), and having the result of those n rolls add up to 35? i.e. Roll #1 = 6, Roll #2 = 4, Roll #3 = 5, Roll #4 = 5, Roll #5 = 3, Roll #6 = 6, Roll #7 = 6....6+4+5+5+3+6+6 = 35.
That's beyond my stats skillz, so I asked an AI tool to explain that one. It's answer (and note: copy/pasting the formulas doesn't appear to work, so I'm just going to erase the formulas it's giving me!):
The problem requires calculating the overall probability of a target sum by considering all possible outcomes from the initial 20-sided die roll.
Let D20 be the result of the 20-sided die (from 1 to 20), and SD20 be the sum of D20 rolls of a 6-sided die. We are looking for the probability P(SD20=35).
The probability of any specific roll of the 20-sided die is P(D20 = n) = 1/20 for n = {1, 2, ..., 20}.
Using the Law of Total Probability, the overall odds are:
[[deleted equation that doesn't want to copy/paste over nicely]]
The minimum sum for n rolls of a 6-sided die is n, and the maximum is 6n. The sum of 35 is only possible if n <= 35 and 6n >= 35. The second condition requires n >= 35/6 = 5.833, so n must be at least 6.
Therefore, the summation only includes terms for n = 6 through n = 20.
The probability P(Sn = 35) is the number of ways to roll a total of 35 with n six-sided dice, divided by the total number of outcomes, 6^n.
The calculation performed by the tool is as follows:
Calculate the sum of the probabilities that n six-sided dice total 35, for n=6 to n=20. Approximately 0.2857101256698528
Calculate the Overall Probability: Divide the sum by 20 (the probability of any specific D20 roll). Approximately 0.014285506283492642
The overall odds that the results of all those rolls of the 6-sided die add up to total 35 is approximately 0.01428551, or about 1.428551%.
Rollback Post to RevisionRollBack
Last to know and first to be blamed...
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Hi merlin! you want to give it a shot?
:3 + 6 + 2 + 6 = 17
Hello! Call me GAYto or Gato (Cat in Spanish)
My pronouns are They/She (Prefers She/her)
I am a teenager. I have ADHD, Depression, and anxiety. I'm also Genderfae, Trans, Aromantic, and Asexual
but this community means the world to me; you can't change that about me
:[roll]1d8[/roll] + [roll]1d8[/roll] + [roll]1d8[/roll] + [roll]1d8[/roll] = [roll][roll:-4]+[roll:-3]+[roll:-2]+[roll:-1][/roll]
I have adopted Golden, Salem, Wes, and Aspen
4d8 attempt: 1 + 5 + 1 + 2 = 23
If I'm reading your request correctly, is your question What are the odds of rolling a 20-sided dice, 6 times in a row, and having the total of all 6 rolls add up to 35?
Last to know and first to be blamed...
As a free action, can I regret my life choices?
No, its, you roll the d20, and then roll an equal amount of d6s
:3 + 1 + 4 + 6 = 14
Hello! Call me GAYto or Gato (Cat in Spanish)
My pronouns are They/She (Prefers She/her)
I am a teenager. I have ADHD, Depression, and anxiety. I'm also Genderfae, Trans, Aromantic, and Asexual
but this community means the world to me; you can't change that about me
:[roll]1d8[/roll] + [roll]1d8[/roll] + [roll]1d8[/roll] + [roll]1d8[/roll] = [roll][roll:-4]+[roll:-3]+[roll:-2]+[roll:-1][/roll]
I have adopted Golden, Salem, Wes, and Aspen
Edited for clarity, not cheating
Hello! Call me GAYto or Gato (Cat in Spanish)
My pronouns are They/She (Prefers She/her)
I am a teenager. I have ADHD, Depression, and anxiety. I'm also Genderfae, Trans, Aromantic, and Asexual
but this community means the world to me; you can't change that about me
:[roll]1d8[/roll] + [roll]1d8[/roll] + [roll]1d8[/roll] + [roll]1d8[/roll] = [roll][roll:-4]+[roll:-3]+[roll:-2]+[roll:-1][/roll]
I have adopted Golden, Salem, Wes, and Aspen
4d8=17
Hello! I am a perfectly sane gibberer. Hi! :D
Locations are dead, the Temple of Potassium has fallen but its ideals live on
A mysterious link of chain... (Extended signature). PRAISE JEFF THE EVIL ROOMBA! REALLY cool video.
One of the Warlock Patrons on the forums. Low, low price of your soul, firstborn child and liver!
Titles: The Echoing Story Spewer (Drummer), the Endless Maws (Isis), the Mad Murderer (PJ), more on my extended sig
:8 + 3 + 8 + 1 = 20
Hello! Call me GAYto or Gato (Cat in Spanish)
My pronouns are They/She (Prefers She/her)
I am a teenager. I have ADHD, Depression, and anxiety. I'm also Genderfae, Trans, Aromantic, and Asexual
but this community means the world to me; you can't change that about me
:[roll]1d8[/roll] + [roll]1d8[/roll] + [roll]1d8[/roll] + [roll]1d8[/roll] = [roll][roll:-4]+[roll:-3]+[roll:-2]+[roll:-1][/roll]
I have adopted Golden, Salem, Wes, and Aspen
Oooops, to big
Hello! Call me GAYto or Gato (Cat in Spanish)
My pronouns are They/She (Prefers She/her)
I am a teenager. I have ADHD, Depression, and anxiety. I'm also Genderfae, Trans, Aromantic, and Asexual
but this community means the world to me; you can't change that about me
:[roll]1d8[/roll] + [roll]1d8[/roll] + [roll]1d8[/roll] + [roll]1d8[/roll] = [roll][roll:-4]+[roll:-3]+[roll:-2]+[roll:-1][/roll]
I have adopted Golden, Salem, Wes, and Aspen
Dice rolls not yet available for this section.
How'd you get it that big?
Hi, I’m DrakenBrine, here’s my Sig and characters
I am The Grand Envisioner!
4d8 attempt: 7 + 7 + 8 + 3 = 25
Last to know and first to be blamed...
As a free action, can I regret my life choices?
24
Hi, I’m DrakenBrine, here’s my Sig and characters
I am The Grand Envisioner!
4d8 attempt: 5 + 6 + 8 + 3 = 22
So, what you're looking for are the odds of:
1) Rolling a d20, and reading the result (let's say it results in a 7)
2) Rolling a d6 <that> many times (in my example, 7 times), and having the result of those n rolls add up to 35? i.e. Roll #1 = 6, Roll #2 = 4, Roll #3 = 5, Roll #4 = 5, Roll #5 = 3, Roll #6 = 6, Roll #7 = 6....6+4+5+5+3+6+6 = 35.
That's beyond my stats skillz, so I asked an AI tool to explain that one. It's answer (and note: copy/pasting the formulas doesn't appear to work, so I'm just going to erase the formulas it's giving me!):
The problem requires calculating the overall probability of a target sum by considering all possible outcomes from the initial 20-sided die roll.
Let D20 be the result of the 20-sided die (from 1 to 20), and SD20 be the sum of D20 rolls of a 6-sided die. We are looking for the probability P(SD20=35).
The probability of any specific roll of the 20-sided die is P(D20 = n) = 1/20 for n = {1, 2, ..., 20}.
Using the Law of Total Probability, the overall odds are:
The minimum sum for n rolls of a 6-sided die is n, and the maximum is 6n. The sum of 35 is only possible if n <= 35 and 6n >= 35. The second condition requires n >= 35/6 = 5.833, so n must be at least 6.
Therefore, the summation only includes terms for n = 6 through n = 20.
The probability P(Sn = 35) is the number of ways to roll a total of 35 with n six-sided dice, divided by the total number of outcomes, 6^n.
The calculation performed by the tool is as follows:
Calculate the sum of the probabilities that n six-sided dice total 35, for n=6 to n=20. Approximately 0.2857101256698528
Calculate the Overall Probability: Divide the sum by 20 (the probability of any specific D20 roll). Approximately 0.014285506283492642
The overall odds that the results of all those rolls of the 6-sided die add up to total 35 is approximately 0.01428551, or about 1.428551%.
Last to know and first to be blamed...
As a free action, can I regret my life choices?