Questions tagged [dice]
For puzzles involving any form of dice.
73
questions
8
votes
1
answer
431
views
Stickered Dice Game
You and your friend play a game.
To begin with, each of you has an unlabelled die. On the table laid in front of you are 12 stickers labelled 1-12.
The first player chooses one of the stickers and ...
- 175
7
votes
4
answers
2k
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Fair d5 with as few faces as possible
Challenge: design a polyhedral die that will always give one of five outcomes, each with equal probability.
While achieving that, minimize the total number of faces of the die. Think of the die as ...
- 5,451
3
votes
0
answers
187
views
Perfect 9-sided die [closed]
I am working on a fair 9-sided die and I settled on a design where you select three edges of a cube where the two sides that one edge touches don't overlap with any of the other sides touched by the ...
- 31
3
votes
1
answer
140
views
Two pairs of dice with the same probability [duplicate]
Alice has two dice each numbered from 1 to 6.
Bob has two dice as well, the numbering is not known, but each face has a positive integer.
The numbering on each dice can be different and a number can ...
- 11.9k
3
votes
1
answer
219
views
What is the most STAMINA-efficient strategy to escape the well?
You are roleplaying as an adventurer under the direction of a sadistic DM who has just thrown your character down a well.
In order to escape, you have unlimited chances at a STAMINA check, difficulty ...
- 2,349
0
votes
1
answer
745
views
What is the pattern here? Rolls of five dice correspond to numbers [duplicate]
What is the pattern in this puzzle?
- 11
11
votes
1
answer
860
views
8 dice with a product being a square
8 standard six-sided dice with faces numbered 1, 2, 3, 4, 5, 6 each are thrown at the same time and the product of the dice is written down on a paper.
This process is repeated until you are able to ...
- 11.9k
1
vote
2
answers
183
views
Why box (3) isn't possible and why box (4) is possible? [closed]
The figure given on the left hand side is folded to form a box. Choose from the alternatives (1), (2), (3) and (4) the boxes that is similar to the box formed.
Source: IndiaBix
I understood that box (...
- 15
-4
votes
1
answer
543
views
Open dice Problem
The following figure is folded to form a box. Choose from the
alternatives (A), (B), (C) and (D) the boxes that is similar to the
box formed.
Source: YouTube
Video
How to answer these type of ...
- 15
18
votes
1
answer
782
views
Chain Puzzle: Tabletop Games #05 - It's Yahtzee, Jim, but not as we know it
This is the fifth Chain Puzzle in the Tabletop Games series, in which all puzzles are themed around board games, card games, tile games, and the like. The answer to this puzzle is a thematic word or ...
- 134k
9
votes
0
answers
214
views
Rolling dice in a box
A box containing identical dice that were arranged to have same orientation has a missing die at the center (see figure). The dice moves to the free space for they can change orientation and ...
- 6,626
6
votes
4
answers
1k
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A bet with your friend
James, your friend, has invited you to bet with him.
He has a fair die, with $3$ faces showing $0$ and $3$ faces showing $1$. You pay him $\\\$70$. He throws the die $15$ times, and records the sum of ...
- 5,560
3
votes
1
answer
121
views
Quarter Rolling Die
Quarter rolling a die means triping it on any of the 4 sides adjacent to its base or face in contact with the flat surface. Using the assembled die and quarter chessboard:
You can place and align the ...
- 6,626
-3
votes
1
answer
188
views
please help me with this logic based question.what is the missing block? [closed]
Please complete the figure with one of 9 blocks below.
- 13
18
votes
4
answers
737
views
How many rolls on average to get N dice to all show the same value?
So for example:
if $N = 3$
I roll and get -> $1,2,3$
I re-roll the $2$ and $3$ -> $1,4,4$
I re-roll the $1$ -> $2,4,4$
I re-roll the $2$ -> $4,4,4$
In this case, it ...
- 281
10
votes
5
answers
517
views
Find the optimal strategy for this dice game
You are playing a game: You have $6$ standard 6-sided dice that are all rolled at the start of the game. The sum of dice values is your score. Each turn, you can take any (or none) dice and reroll ...
- 431
10
votes
1
answer
515
views
Recipe for diced shark fin
How may the following shark-fin-shaped Goal distribution
be cooked up with 44 ingredients
in a roll recipe R based on the roll sum
of two 6-sided dice with non-standard allotments of dots?
Goal: ...
- 21.8k
6
votes
1
answer
433
views
An extremely fair die
I have in mind a special kind of die, one that is even more fair than uniform density dice. If the die has $n$ faces with labels going from $1$ through $n$, then some faces will be larger than others ...
- 360
2
votes
1
answer
252
views
Four unfair dice
On a table there are four standard six-sided dice with faces numbered 1, 2, 3, 4, 5, 6 each.
Alice starts and chooses a die. Then Bob chooses a die and both throw the dice.
The winner is the person ...
- 11.9k
5
votes
6
answers
2k
views
Two dice with the same probability for each sum? [duplicate]
A friend invites you to play a game. The game is using two standard six-sided dice with faces numbered 1, 2, 3, 4, 5, 6 each.
As usual, the dice are considered distinguishable, i.e. throwing a 1 with ...
- 11.9k
17
votes
5
answers
1k
views
Generating Roman numerals with dice
This puzzle is closely based on this one: Generating numbers with cubes
Now we want to generate Roman numerals by placing up to three 6-sided dice side by side. We are allowed to write multiple ...
- 33.2k
1
vote
2
answers
208
views
Is it easier to control an unfair die than a fair die? [closed]
First of all, I am not sure if this is the right place to ask this question, I wanted to post it at the mathematics community but also wasn't too sure. I read somewhere that when dice are fair, the ...
- 121
5
votes
1
answer
350
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A strange message full of dice came in my mail
So I got a package today that contained the strangest contents. It was a set of dice, each of them numbered in one of the corners. Arranged, this is what numbers or characters displayed on each dice,
...
- 9,577
4
votes
4
answers
2k
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A Short Dice Puzzle II
A standard $6$-sided die is put inside a cup. The cup is shaken and put upside-down, hiding the die.
You are going to guess what is the number on the top of the die.
But, instead of given $6$ options, ...
- 34k
7
votes
1
answer
1k
views
A Pair of Odd (but Still Balanced) Dice
I have a pair of odd six-sided dice at my house... I don't quite remember where I got them.
Each die has only one number on each side, and each of these numbers is a positive number.
Each pair of ...
- 9,864
3
votes
4
answers
244
views
Randomly selecting cards using 6-sided dice
There is a pile of $5\leq N\leq15$ cards.
$x=3$ or $6\leq N$ cards need to be randomly chosen from this pile (uniform distribution).
To do this any number of $6$-sided dice can be rolled any number ...
- 3,068
21
votes
8
answers
2k
views
A Short Dice Puzzle
There are $2$ fair dice:
An $11$-sided die, valued from $-5$ to $5$,
A $41$-sided die, valued from $-20$ to $20$.
You pick one, and I'll take the other one. We roll the dice, and whoever rolls the ...
- 34k
13
votes
4
answers
3k
views
A dice game, what is the optimal strategy?
Alice was walking on the street when she came across a man playing with a die. She could not help trying to check if the die was loaded and while she was concluding that it wasn't loaded, the man ...
- 2,690
-4
votes
2
answers
140
views
New Dice Table at the Casino [closed]
You walk up to a dice table in the casino.
A woman bets on $12$, throws the dice and they come up: 6 5 3 2
She shouts with glee as the dealer hands her the ...
9
votes
3
answers
2k
views
Putting the pips on a d6
Using a blank cube and a bunch of circular stickers, an average person constructs a d6. A d6 is also known as a six-sided die, or sometimes, a dice.
For the purpose of this puzzle, the average person
...
- 76k
49
votes
7
answers
11k
views
How many tries to roll a 6?
Suppose you roll a (fair, 6-sided, perfectly ordinary) die repeatedly until you roll a 6. As is well known, the expected (i.e., long-term average over many trials) number of rolls required is 6.
Now ...
2
votes
1
answer
169
views
Dice problem involving nine randomly selected cups [closed]
I was given this problem by a colleague, and I cannot figure it out.
Given nine cups and an unlimited supply of six-sided dice rolled one at a time, what is the probability that you will, at some ...
14
votes
2
answers
6k
views
How to simulate one die with three dice?
I do not know if there is a correct solution to this puzzle, but I can't stop thinking about it, so here goes: is it possible to accurately simulate a single, fair, six-sided die using three custom ...
- 353
2
votes
1
answer
266
views
Another Unconventional Dice Blackjack game - is Nash equilibrium here?
This question is similar to This Dice Blackjack game - is there Nash equilibrium?, but the game rules are completely different.
This Dice Blackjack is game for two. It is also played with fair six-...
- 307
2
votes
3
answers
643
views
This Dice Blackjack game - is there Nash equilibrium?
This dice Blackjack is game for two - bettor and dealer. It is played with fair six-sided dice.
Bettor:
Bettor starts the game.
Bettor can roll dice as many times he/she desires while the sum of ...
- 307
7
votes
2
answers
436
views
West face East face
The 1 x 1 x 2 die with new configuration was created from 2 dice (with opposite faces totalling 7) that were glued together on one of their faces. If this long die is rolled twice, the sum of non-...
- 6,626
9
votes
2
answers
560
views
Cheating aplenty at Build-a-Die 2017
Each year, 9 affluent acquaintances meet to compete in a unique game of chance: each creates a fair six-sided die and rolls against each opponent 100 times -- the player with the most total wins in ...
- 9,733
8
votes
3
answers
962
views
Building the ideal Scrabble dice set
This is a genuine question and I don't know the "correct" answer to this. I'm also of two minds if it is really on-topic on the site. Finding the answer is surely "a puzzle" (if ...
- 18.1k
15
votes
3
answers
2k
views
Date Dice Dilemma
My cousin just learned about numbers and dates in school and I would like to give him a little present: A set of (regular, six-sided) dice with which he can display the current date if he turns them ...
- 546
-2
votes
1
answer
273
views
cube completion
Choose the correct option. I can only eliminate first one. Dunno why but 2,3 and 4 seems correct to me. Please correct me if I'm wrong
- 31
-1
votes
3
answers
740
views
Dice alignment puzzle
Using standard playing dice, in what way can you to stack up the dice to build a 1 X 1 X 6 high tower that do not have the same dice faces showing on all its vertical wall?
- 6,626
37
votes
2
answers
4k
views
A Boyfriend's Mysterious Message
Imogen was dog-tired, but excited! After 3 gruelling weeks of 16-hour work days imposed by an iron-willed boss, she was finally finished all her projects. She'd been processing (figurative) ...
- 25.7k
21
votes
5
answers
1k
views
Three Dice minimum value
You shall form three dice, placing 18 distinct integers on the faces of three cubes. Your goal is to be able to obtain all the integers between 1 and 216, inclusive, as the sum of the integers on the ...
- 211
9
votes
3
answers
922
views
What is the 'best' way to tilt through a D20?
A regular D20 die (icosahedron) as depicted above has the number 1 to 20 arranged on its faces such that the sum of opposing faces is 21. Each triangular face touches three other faces directly by a ...
- 18.1k
10
votes
8
answers
1k
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A Lazy Way to Make Two Dice from Many
Recently, I stumbled upon the puzzle: Make Two Dice out of Three, which asks for a solution to a case of the following question:
Suppose I roll $n$ indistinguishable dice. From purely the $n$ ...
- 7,881
11
votes
1
answer
3k
views
Deceptive dice game
You must create a set of 6-sided dice and play a game with an opponent. The dice are like regular dice, but you can change the numbers on the dice. For example, regular dice have sides ...
- 6,936
27
votes
10
answers
4k
views
Make 2 dice out of 3 dice
This question was first posted by standupmaths on youtube: https://www.youtube.com/watch?v=xHh0ui5mi_E
He already got some answers but I think this community can probably find a better answer.
...
14
votes
5
answers
2k
views
The Good, the Bad and the Ugly
Tuco, Blondie and Sentenza play a game with a single die. Tuco has the first roll, then Blondie, and then Sentenza, and so on. As soon as a player tosses a six, that player drops out of the game and ...
- 8,304
43
votes
3
answers
4k
views
Relabeling two 20-sided dice without changing their total
Usually, 20-sided dice are labeled with the numbers 1 to 20. When you roll two of these, their sum is a random number between 2 and 40. The total 21 is most likely to occur, while 2 and 40 are the ...
- 32.1k
17
votes
1
answer
781
views
Two Dice = Nine Cards
I have nine cards, each labeled with a real number (possibly negative or fractional) in a special way. When I randomly pick two of these cards without replacement and add their labels together, the ...
- 32.1k