Alivia, the Sapphire Sorceress |

Picking up lvl 1 Sea Witch.

1d6 ⇒ 3

Question about 'average' - all classes have even hit dice, average is always an X.5 number. Do you round up, down, or truncate for average? (Basically, Bank average, school math average, or truncate?)

Sharice |

The "average" result of a die roll of 1d6 would be (1+2+3+4+5+6)/6, or 21/6, or 3.5; for 1d8, 4.5; for 1d10, 5.5 and so on. There's a whole lot of :math: that goes into the process, but what it boils down to is that the average roll of an X-sided die is X/2 +0.5

**WARNING: Math.:**

An X sided die has as its probable outcomes a sequence of (1, 2, 3... X-2, X-1, X).

As a very clever person discovered while trying to avoid a boring arithmetics assignment, you can pair the numbers off thusly: (X+1), (X-1 +2), (X-2 +3)... And so on, and you wind up with (X/2) times the equivalent of ([X+1).

So the total will be (X/2) * (X+1) which you can rewrite as (X * (X+1))/2, or (X^2 +X)/2.

To get the average from that, you divide by X and end up with (X^2 + X)/ 2X), which simplifies to (X+1)/2...

GM Valmoon |

The "average" result of a die roll of 1d6 would be (1+2+3+4+5+6)/6, or 21/6, or 3.5; for 1d8, 4.5; for 1d10, 5.5 and so on. There's a whole lot of :math: that goes into the process, but what it boils down to is that the average roll of an X-sided die is X/2 +0.5

** spoiler omitted **

X/2 is the average I'm talking about.

So 6/2 = 3 + 1 sea witch average.Or 12/2 = 6 + 1 for a barbarian.

I will expand on this more a little later.

Alivia, the Sapphire Sorceress |

Sorry to cause a math interlude :)

The average of any dice roll is equal to (min roll + max roll)/2. For example, 1d6 = (1+6)/2 = 3.5, 2d4 = (2+8)/2 = 5, etc.

Therefore all hit dice are (1+N)/2 which always results in a number with a 0.5 at the end - that's why I put in X.5 (X was my placeholder for 'any number').

Hence my question about 'average' since my 1d6 becomes 3.5, Sharice's 1d12 becomes 6.5, etc. Which you answered with, effectively, truncate the 0.5, but then add 1 which effectively results in 'round up' :D

Alivia, the Sapphire Sorceress |

Alivia, the Sapphire Sorceress wrote:awww, Jape won't be our friend? :DRemember you asked for it

We're all just trying to stay alive on this ship.

Servi Santaria |

I swear if I keep rolling these awful rolls I'm gonna multiclass as Antipaladin, change my alignment to Chaotic Evil and just start burning stuff.

It's just heartbreaking.

Renzuran Darber |

I swear if I keep rolling these awful rolls I'm gonna multiclass as Antipaladin, change my alignment to Chaotic Evil and just start burning stuff.

It's just heartbreaking.

I'm with you, kid; I neglected that clerics are starved for skill ranks when I rolled up my sheet. If the dice don't start liking me soon I'm verging on reneging on my decision not to dip into rogue and proceed to stab everything.

GM Valmoon |

I swear if I keep rolling these awful rolls I'm gonna multiclass as Antipaladin, change my alignment to Chaotic Evil and just start burning stuff.

It's just heartbreaking.

O come on Some one here has to think up creative responses to your low rolls XD... This time I think it will be related to her mother... :P

In all honesty I hope you start rolling better. It's always fun to get those high rolls. :)

Doreen Makgree |

Hey guys, just wanted to inform that on top of a killer week on my job, my fianceé's grandfather passed away this morning and we'll be attending the funeral. Long story short, I won't be able to post for at least until tonight, hope to find some time later so as to not let you guys down. See you later.

GM Valmoon |

Hey guys, just wanted to inform that on top of a killer week on my job, my fianceé's grandfather passed away this morning and we'll be attending the funeral. Long story short, I won't be able to post for at least until tonight, hope to find some time later so as to not let you guys down. See you later.

thank you for letting us know. Take care of the fianceé and family first. Family passing away is always hard.

Doreen Makgree |

Everything's fine now, we're doing better. It wasn't completely unexpected.

On the plus side, I've just rolled the first three 20s in a row in my life, though it would've been better if we were fighting a dragon (are we using instant kill rules?)

Sharice |

Hokay, finally had time to catch up on the thread properly and post.

Alivia, please, please, PLEASE tell me that that "first against the wall" was internal monologue and that you haven't just gotten all of us killed...