Predicting How Dice Will Roll Is Easy

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I show you how to predict how a large number of dice will roll on average

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Mr Beast be like: *Here is the 1000 Dice challenge.*
_Plot the graph._

konoveldorada

While filming this,

"Oh i didn't get a 35"
Let's Roll again!"

PraneetKalyanshetti

6, 9, 11, 35
My little brother “HE CHEATED”

Kazuhannoying

If anyone was wondering this is just expected value. The expected value for one dice is 1/6 * 1 + 1/6 * 2 + … 1/6 * 6: the sum of the value of the diced multiplied by the probability they occur which is 1 out of 6. So the expected value of one dice is 3.5. Obviously this doesn’t make much sense for one dice roll, but 3.5 will be your expected average value after many dice rolls. For 10 dice the expected value is 10 * 3.5 = 35.

gamingbutnotreally

This guy is proving my math teacher right when she says that we will probably use algebra in our career or when we’re older😭💀

The_Service_Doodles

Well, unless it's a DM's dice. Then when the results are skewed.

pizmak

Me, who plays D&D: "I am four parallel universes ahead of you."

hamsterdoom

Okay, now roll the 10 dice in a vacuum

IAmTheGlovenor

-I’ll guess 35 “camera cut” -right on!

crypto

I Love statistics and probability situations when they're done like this; easy(easier) and more intriguing to understand and interesting to learn

stxdude

So you rolled 9 dice that added up to 29 and then added a six from off camera.

For those wondering, pause it right after the roll. There are only 9. The first one he counts comes from off camera.

MinistryOfMagic_DoM

Gaussian approximation of binomial entered the chat

davidechiorlin

Me trying to explain to my wife that there is skill involved in yahtzee:

dathperception

Probability is one of my most favourite units in math because of how challenging and confusing things can gets, in my opinion. I think my brain fried trying to understand more probability since I did get a good score on it

beesinred

It makes very intuitive sense when you think about it. It's just all possible numbers added up and divided by the number of sides. (1+2+3+4+5+6)/6 = 3.5. What's cool about it is that for any single sequential die, the result will always be max/2 + min/2. In this case, 6/2 + 1/2 = 3.5. For normal dice that's always max/2 + 0.5, which makes it very easy to do in your head.

miral

* me not knowing a damn thing this guy did to predict the outcome of the dice *
I'm gonna try this trick at parties.

toaolisi

i use probability curve in D+D when my players lob fireballs at crowds

sebcw

I am the same with addition. A 40 year old man that still has to count on fingers to add lol. I am not proud of it but it's the tried and true method for 40 years for me since can't retain the weirder numbers. I have however been able to retain multiplication and don't have to count on my fingers and can see it in my head. Addition and subtraction is foggy for some reason when trying to do it in my head.

Vvcr

We can abstract order out from randomness, we can do the reverse as well!

BizVlogs

You can also adapt this formula for any balanced dice (e.g. a die with only sequential even numbers) as (Sum of possible Die Rolls/Number of Faces) x Number of Rolls

waterunderthebridge

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