Some days it is really fun and interesting being the admin and author of a blog. I am slightly compulsive about checking my traffic stats throughout the day. This lets me know how many people have visited my blog, and if they got there by clicking some link somewhere else out on the Internet. It also lets me know what search terms were used to find my blog. While most of these are pretty predictable, every now and then I see something really silly that led to my site. But it also gives me a keen insight into what people are interested in, and oddly enough, the search term that keeps leading to me over and over again is “how to get the most brains in zombie dice” and “strategies for zombie dice”. I’ve reviewed Zombie Dice in the past, but I have never delved into the math involved with getting the most brains, and at your request, I’m going to dig into that today.

There are two major pieces of information that you should look at when playing zombie dice: What are the conditions in the cup, and what are your odds of rolling a shotgun? If you break each one of those down, your decision becomes much easier. The first thing to consider is what is the likelihood of rolling a brain, shotgun, or feet on each color of die.

**Odds of rolling each
symbol **

**on a single die**

Brain | Shotgun | Feet | |
---|---|---|---|

Red |
16.7% | 50% | 33.4% |

Yellow |
33.4% | 33.4% | 33.4% |

Green |
50% | 16.7% | 33.4% |

As you can see, your gut instincts for what symbols are likely to be rolled are largely justified. It makes sense that you are so much more likely to roll a shotgun on a red die and a brain on a green die. It’s just common sense. However, what is more interesting is the likelihood of rolling one or more shotguns on a single roll of three dice.

**Odds of rolling 1 shotgun on a single roll of three dice,
depending on the colors of the dice rolled. **

R & R | R & Y | R & G | Y & Y | Y & G | G & G | |
---|---|---|---|---|---|---|

Red |
50% | |||||

Yellow |
44% | 38.9% | 33.3% | |||

Green |
38.9% | 33.3% | 27.8% | 27.8% | 22.2% | 16.6% |

**Odds of rolling 2 shotguns on a single roll of three dice,
depending on the colors of the dice rolled. **

R & R | R & Y | R & G | Y & Y | Y & G | G & G | |
---|---|---|---|---|---|---|

Red |
25% | |||||

Yellow |
19.5% | 15.12% | 11.1% | |||

Green |
15.12% | 11.1% | 7.7% | 7.7% | 4.9% | 2.7% |

**Odds of rolling 3 shotguns on a single roll of three dice,
depending on the colors of the dice rolled. **

R & R | R & Y | R & G | Y & Y | Y & G | G & G | |
---|---|---|---|---|---|---|

Red |
12.5% | |||||

Yellow |
8.6 % | 5.8% | 3.69% | |||

Green |
5.8% | 3.69% | 2.1% | 2.1% | 1.09% | 0.45% |

These statistics reveal some really interesting things. Firstly that your odds are never any worse than 50/50. That’s better than any casino in the country, and thus means that the odds of you rolling a shotgun is stacked in your favor, and the odds of you rolling multiples in a single roll drops drastically. But what I find equally fascinating is when the same percentage appears in the table in two different spots. For example, the odds of you rolling a single shotgun blast is the same regardless of if you are rolling all yellow dice, or if you are rolling a red, a yellow, and a green. This can be easily expressed as:

** R + G = 2Y**.

If you apply some simple integers into those variables it becomes easy to figure your odds in much the same way that an individual counts cards. For example lets substitute in the value 5 for the R and 1 for the G. 5 + 1 = 2Y. That would force Y to be 3, a value nicely in the middle. From this we can make some conclusions based upon dice combinations:

If we have three red dice, the combined value is 15, and is our worst odds possible.

If we have three green dice, the combined value is 3, and is our best odds possible.

If we have three yellow dice, the combined value is 9, and is the middle of the pack.

If we have one red (5), one yellow (3), and one green (1) the combined value is 9: the same odds as having three yellow dice. So you know the odds of rolling a shotgun is the same on both sets of dice.

What does this mean? It means that you can quickly access the amount of risk a roll will have, and if it is above or below the threshold of risk you would like to maintain. For instance, if you would like to maintain that you only roll when you have a 25% chance of getting a shotgun, you would want to keep the value of your roll to four or less (aka 3 greens (3), or a yellow(2) and two greens(2). However 2 yellows and a green would put you over your desired threshold of risk.)

But that is assuming that we all know exactly the hand we are going to draw out of the cup each time we decide to roll, and of course we don’t (although you might have an idea based upon how many feet you had rolled previously). These odds can also be evaluated based upon a simple count of the point system (because points work much better than coming up with the exact percentage when dealing with that many variables). The game starts out with 33 points in the cup (3 red (5 points each), 4 yellow (3 points each), and 6 green (1 point each)), and the percentage chance of drawing at least one red die is 23.07% when starting. As you draw dice out of the cup your point value in the cup will change, by subtracting the value drawn each time. For example, if you draw a red, a yellow, and a green die on your first turn the point value of your cub will drop from 33 to 24, by subtracting 9 which was the value associated with the dice you just drew. There are now only 10 dice left in the cup, and the percentage chance that you will draw another red die on your next draw is 20%. Notice that by drawing a red, and making the point value of the cup lower, the likelihood of you drawing another red has decreased.

But this leaves one big gaping whole in our plans to access risk, we have to access that risk in the context of how many dice are left. This can easily be expressed as:

**( R+G+Y)/T = Ri**

**or
**

**(Reds + Greens + Yellows)/Total number of Dice in cup = Risk**

So what does this really mean? It gives a weight to each die left in the cup that is between 1 and 5. The higher this number the more risk associated with taking it. For example, in the picture above there are 5 greens, 2 reds, and 1 yellow die in the cup. This totals to 18 points. Given that there are 8 dice in the cup, we can access the risk of each die to be 2.25. This is saying that each dice is less risky than a yellow, but nearly twice the risk of a green.

18/8 = 2.25

Now I know what you are thinking, “But I’m not going to be able to figure out 2.25 in my head, on the fly”. Well, maybe not, but you can easily determine that 8 goes into 18 twice, but not three times, so you know the risk is between 2 and 3. Less risky than yellow, but twice as risky as a green. In retrospect, 2.25 is actually a slightly better risk assessment than you initially start each round with.

33/13 = 2.53

When you apply this to our previous evaluation of risk on a per roll basis, that means that your first roll of the game is always going to have a risk level of 7.6 (3 times the risk assessment of a single die, or 3 x 2.53). Slightly less then the our “middle of the pack” number of 9, but much higher then our ideal risk of 3.

So, that is a whole lot of math and logic, and possibly way more than the folks who search for “how to get the most brains” wanted to know. However, I think it’s a very interesting look at a very simplistic game. So now, go have fun eating brains, and good luck with not getting shot gunned.

Every weekend i used to visit this web page, as i wish for enjoyment, since this this web page conations

in fact fastidious funny information too.

I have been surfing online more than three hours today, yet I never found any interesting article like yours.

It’s pretty worth enough for me. In my opinion, if all web owners and

bloggers made good content as you did, the net will

be a lot more useful than ever before.

Can you tell us more about this? I’d want to find out more details.

obviously like your website but you need to test the spelling on quite a few of your posts.

Many of them are rife with spelling issues and I to find it

very troublesome to tell the truth however I’ll definitely come again again.

What’s up, after reading this awesome paragraph i am also cheerful

to share my knowledge here with friends.

Wow, awesome blog layout! How long have you been blogging for?

you make blogging look easy. The overall look

of your web site is fantastic, as well as the content!

Your method of explaining everything in this paragraph is truly nice,

all can easily be aware of it, Thanks a lot.

Excellent way of describing, and nice post to take data about

my presentation focus, which i am going to convey in university.

Heya! I’m at work surfing around your blog from my new iphone 3gs!

Just wanted to say I love reading through your blog and look forward to

all your posts! Carry on the outstanding work!

Woah! I’m really loving the template/theme of this site. It’s simple, yet effective.

A lot of times it’s very hard to get that “perfect balance” between superb usability and

visual appeal. I must say you have done a superb job with this.

Also, the blog loads extremely fast for me on Opera. Excellent Blog!

I’m gone to convey my little brother, that

he should also pay a quick visit this weblog on regular basis to obtain updated from

latest news update.

No matter if some one searches for his required thing, so he/she wants to be available that in detail, therefore that thing

is maintained over here.

Superb site you have here but I was wondering if you knew of any discussion boards that cover the same topics talked about

in this article? I’d really love to be a part of online community where I can get comments from other knowledgeable people that share the same interest.

If you have any recommendations, please let me know. Bless you!

I got this website from my friend who shared with me concerning this web site and now this time I am visiting this

web page and reading very informative content here.

Thanks for finally writing about > Zombie Dice Statistical Analysis:

Getting the most brains without getting shotgunned «

One Gamer's Opinion < Liked it!

I am actually happy to read this weblog posts which carries

plenty of valuable data, thanks for providing these kinds

of data.

Very nice post. I just stumbled upon your

blog and wanted to say that I have really enjoyed browsing your blog posts.

After all I will be subscribing to your rss feed and

I hope you write again very soon!

Write more, thats all I have to say. Literally, it seems as though

you relied on the video to make your point. You obviously know

what youre talking about, why throw away your intelligence

on just posting videos to your site when you could be giving us something enlightening to read?

These are actually great ideas in about blogging. You have touched some nice factors here.

Any way keep up wrinting.