Comment author:faul_sname
08 January 2012 09:52:59PM
3 points
[-]

A. There is significantly greater than a 1 in 2^31 chance that the coin is significantly biased towards heads. This sequence overwhelms almost all priors of fairness, and thus we can conclude that the coin is almost certainly biased towards heads.

Comment author:Kingreaper
11 January 2012 12:11:12AM
1 point
[-]

He's rolling a die. As such, both "possibilities" are overwhelmingly improbable, as I have never seen a die labeled with heads and tails, and I spend a lot of time around dice.

Comment author:Bugmaster
11 January 2012 12:22:30AM
2 points
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Tabletop RPGs often use the term "roll M N-sided dice", or "MdN" for short, to mean, "generate M high-quality random numbers between 1 and N". The dice themselves are merely an implementation detail; they could be physical dice, or some random-number generator built into a collaborative RPG software program, etc. It's common to refer to coins as "d2"s, because that's the function that they serve.

Another interesting die roll that comes up quite often is "Md3"; the 3-sided die is usually implemented by taking the more familiar 6-sided die and replacing 4,5,6 with 1,2,3 on its faces.

The percentile die, which is a golf-ball sized polyhedron with 100 faces, is also quite iconic, though rarely used in practice due to being ridiculous. Most people just roll two 10-sided dice, instead.

Comment author:Bugmaster
11 January 2012 12:25:43AM
*
6 points
[-]

You would be amazed at what tabletop gamers do and do not consider "overkill" :-)

EDIT: In the interests of full disclosure, I am a tabletop gamer, and yet I do consider crypto-quality random numbers to be overkill, but I may be in the minority on this.

## Comments (28)

OldA. There is significantly greater than a 1 in 2^31 chance that the coin is significantly biased towards heads. This sequence overwhelms almost all priors of fairness, and thus we can conclude that the coin is almost certainly biased towards heads.

He's rolling a die. As such, both "possibilities" are overwhelmingly improbable, as I have never seen a die labeled with heads and tails, and I spend a lot of time around dice.

Tabletop RPGs often use the term "roll M N-sided dice", or "MdN" for short, to mean, "generate M high-quality random numbers between 1 and N". The dice themselves are merely an implementation detail; they could be physical dice, or some random-number generator built into a collaborative RPG software program, etc. It's common to refer to coins as "d2"s, because that's the function that they serve.

Another interesting die roll that comes up quite often is "Md3"; the 3-sided die is usually implemented by taking the more familiar 6-sided die and replacing 4,5,6 with 1,2,3 on its faces.

The percentile die, which is a golf-ball sized polyhedron with 100 faces, is also quite iconic, though rarely used in practice due to being ridiculous. Most people just roll two 10-sided dice, instead.

When I hear "high-quality random numbers" I think "crypto-quality random numbers" - which certainly suffice, but are clearly overkill...

*6 points [-]You would be amazed at what tabletop gamers do and do not consider "overkill" :-)

EDIT: In the interests of full disclosure, I am a tabletop gamer, and yet I do consider crypto-quality random numbers to be overkill, but I may be in the minority on this.

Yes, but those are typically the same people who have rituals around their dice. Which, on reflection, seems kinda contradictory...