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zakruti.com » Knowledge, science, education » Numberphile
Weird But Fair Dice (plus the D120) - Numberphile

Weird But Fair Dice (plus the D120) - Numberphile

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Rating: 4.0; Vote: 1
Weird But Fair Dice (plus the D120) elmohead: 2d120 with result of 2.
-You swing a sword, and misses. The momentum made you lose balance and you fall into a previously hidden trapdoor. On the way down, you are shot 100 times by Stormtroopers. In an alternate universe, a space battle is underway. One of the laser cannons missed its target and managed to go through a wormhole, which directed its trajectory straight towards you. It misses and hit something at the bottom of the chasm.
You finally landed on the bottom of the chasm. You have 0HP left and no equipment. Before you stand one hundred red dragons. They all think that it was you who fired the laser. You find out that the laser destroyed one of the eggs.
Now make a saving throw.

Date: 2022-04-08

Comments and reviews: 9


-I take a drink of water- Rolls 1/120 -You go to drink you water but fall over, flipping the table and launching a candle into a pile of hay, which startles a chicken who knocks over a small bit of wood that had been propping up some barrels of ale, they spill everywhere and the alcohol in them quickly ignites from the burning hay and explodes. Soon the entire town is engulfed in flames-
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The probability of keeping a streak of one 1 in that case is 1 in 864. 000 - 0. 000001157%
Probability of you finding a four leaf clover is 0. 0001%
Probability of you dying because of a selfie in a life time is 0. 0003462%
Probability of you hitting by a lightning within this year is 0. 000001429%
Still les than the probability of that 1 streak

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i think as long as the center of mass is where you throw it from its fair. because its physics that matter and there is no real -random- in the world. its all aboit quantum theory and no matter what you do in classic physics the outcome is still predictable so no dice is fair if you go that far in explaination.
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Here's a puzzle:
I have some strange dice: the faces show the numbers 1 to 6 as usual, except that the odd numbers are negative (-1, -3, -5 in place of 1, 3, 5. If I throw two such dice, which of these totals can not be achieved?
13%
20%
22%
48%
65%
Goodluck!

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I couldn't help but notice that in pretty much any fair dice, the sum of opposite sides will always be N+1, where N is the number of sides on the dice. I'm pretty sure others have noticed this, but I thought it would be neat to point out.
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Now there ARE other factors to fair dice
An opaque die can be secretly unfair a clear die can be visably observed as being fair because it will look perfect and imperfections (air bubbles) can be seen while solid ones can not be seen

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Numberphile is like a collection of videos put together when all your friends hang out for a bunch of drinks and some smokes and there's that one friemd who's always recording, but in this case it's mathematicians and physicists
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The D60 and the D120 are not fair. Not only do the sides have to be congruent but so do the vertices. No matter which side you look at, or which point you look at, the rest of the dice should be shaped exactly the same.
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now I really want to see an asymmetrical/actually skewed die which is fair because it's weighted such that the probabilities are still the same. although that probably has much less to do with numberphile than these: D
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