Tagged Questions
0
votes
1answer
114 views
Dice question: Probability of rolling at least 2 of 3 dice with score 3 or less
my first post here.
I've recently gotten back to boardgaming (Labyrinth: The War on Terror in this case) and would like to get clear on the probability of various actions. I've learnt about 'basic' ...
2
votes
4answers
256 views
Probability of rolling three dice without getting a 6
I am having trouble understanding how you get $91/216$ as the answer to this question.
say a die is rolled three times
what is the probability that at least one roll is 6?
2
votes
2answers
57 views
Yahtzee large straight strategy.
I've recently got into playing Yahtzee with my brother. During a game we had on my first roll for my last round I got (5 4 4 2 1). I only had my large straight left, so naturally I was hopeful with ...
0
votes
3answers
29 views
probability proof requiring conditional probability
Consider the experiment where two dice are thrown. Let $A$ be the event that the sum of the two dice is 7. For each $i\in\{1,2,3,4,5,6\}$, let $B_i$ be the event that at least one $i$ is thrown.
...
3
votes
2answers
60 views
What are the probabilities in this particular spin-off of BlackJack
A few of my friends are playing on a gaming server where this game exists. I was curious about the probabilities in it but i was unable to derive them.
Any help would be MUCH appreciated.
Note: For ...
4
votes
1answer
122 views
Probability of a certain dice roll sum disregarding lowest rolls
The number of ways to obtain a total of $p$ in $n$ rolls of $s$-sided dice is:
$$c=\sum_{k=0}^{\lfloor(p-n)/s\rfloor}(-1)^k\binom{n}k\binom{p-sk-1}{n-1}\;.$$
What I'm interested in is making the $n$ ...
4
votes
1answer
105 views
Probability of a fair die appearing to be biased
I'm interested in the probability of a die appearing to be biased when it is, in fact, fair. I'm trying to derive a result given, without proof, on YouTube: http://youtu.be/6guXMfg88Z8?t=1m29s
The ...
2
votes
2answers
83 views
Question about an 8 sided die
I have a question about an 8 sided die problem. I will put up my work what I have if someone can tell me how to proceed I will appreciate it.
We roll an 8 sided die numbered 1 to 8 six times and ...
2
votes
1answer
114 views
Three dice having sides labelled 0,1,e,π,i,√2 are rolled. Find the probability of getting the product of the three results a real number.
Three fair 6-sided dice each have their sides labeled $0\,,\,1\,,\,e\,,\,\pi\,,\,i\,,\,\sqrt 2\,$. If these dice are rolled, the probability that the product of all the numbers is real can be ...
5
votes
1answer
198 views
“8 Dice arranged as a Cube” Face-Sum Problem
I found this here:
Sum Problem
Given eight dice. Build a $2\times 2\times2$ cube, so that the sum of the points on each side is the same.
$\hskip2.7in$
Here is one of 20 736 ...
1
vote
1answer
81 views
Probability - Average value of the sum of 3 bigger dices in 4 throws (D&D)
There is a certain game based in a D&D mechanics in which the player throws 4 perfect dices and sums the three bigger values to obtain his score. Which is the average value to be obtained after ...
0
votes
1answer
89 views
Probability - Tales Game
A dice game played by two players is like this: each player throw two dice and sum theier results; that is the number of points the player scored. Whoever scores more, wins.
One additional detail is ...
1
vote
1answer
187 views
Probability of predicting, then throwing, a particular multiset for 5 dice.
My friend shared with me a story that after losing to his SO at Yahtzee, before they put the game away he just randomly predicted he would roll four 5's and a 1. He then got that roll and freaked out.
...
2
votes
1answer
93 views
Throwing the dice, sum of the points
We are throwing the die (original cube for the board games). How many are ways to get the sum of the points equal to $n$ ?
I've heard this problem today in the morning and still can't deal with ...
3
votes
3answers
194 views
Probability that no side of a dice is rolled more than $k$ times
Suppose, we roll a fair die $n$ times. The expected value of how many times each side of the die will appear is $\frac{n}{6}$. The question is, what is the probability that any side of the die will ...
8
votes
3answers
782 views
“Go-first” dice for $N$ players
I'm interested in sets of dice that can be used to determine who "goes first" (hence the name) in an $N$-player game; more generally, I want to determine a complete ordering of the players with a ...
8
votes
2answers
342 views
“8 Dice arranged as a Cube” Face-Sum Equals 14 Problem
I found this here:
Sum Problem
Given eight dice. Build a $2\times 2\times2$ cube, so that the sum of the points on each side is the same.
$\hskip2.7in$
Here is one of 20 736 ...
2
votes
1answer
144 views
Simple Dice Rolling Problem
If you play poker dice by simultaneously rolling 5 dice, why is $P\text{{five alike}} =.0008$?
I guess I understand the fact that each dice has the probability to land on the same number $1/6$ of the ...
4
votes
2answers
141 views
Probability of throwing the same multiset twice in a row with six dice
Six dice are thrown. The six dice are thrown a second time. What is the probability of getting the same numbers as in the first throw? If the order of the six numbers matters, the problem is easy, but ...
4
votes
2answers
1k views
Probability of either dice showing a specific number
If I throw 4 dice together, what is the probability that either one of them will show the number 3 ?
I tried to calculate it and got to $\frac{(4)}{6}$ (which is highly unlikely to be correct).. any ...
5
votes
3answers
315 views
Probability of rolling a die
I roll a die until it comes up $6$ and add up the numbers of spots I see.
For example, I roll $4,1,3,5,6$ and record the number $4+1+3+5+6=19$. Call this sum $S$.
Find the standard deviation of ...
2
votes
2answers
200 views
Two combinatorics problems. I'm not 100% confident in my answers
These are two problems from my combinatorics assignment that I'm not quite confident in my answer. Am I thinking of these the right way?
Problem 1: On rolling 16 dice. How many of the $6^{16}$ ...
6
votes
4answers
565 views
Confusion over probability problems
I am stuck with these probability problems,
A pair of unbiased dice is rolled together till a sum of either $5$ or $7$ is obtained. Find the probability that $5$ comes before $7$?
A letter is ...
16
votes
2answers
798 views
Expected number of rolling a pair of dice to generate all possible sums
A pair of dice is rolled repeatedly until each outcome (2 through 12) has occurred at least once. What is the expected number of rolls necessary for this to occur?
Notes: This is not very deep ...
7
votes
2answers
696 views
Probability of 3 of a kind with 7 dice
Similar questions:
Chance of 7 of a kind with 10 dice
Probability of getting exactly $k$ of a kind in $n$ rolls of $m$-sided dice, where $k\leq n/2$.
Probability was never my thing, so please bear ...
2
votes
3answers
343 views
Probability of Sum of Different Sized Dice
I am working on a project that needs to be able to calculate the probability of rolling a given value $k$ given a set of dice, not necessarily all the same size. So for instance, what is the ...
12
votes
3answers
426 views
Best Strategy for a die game
You are allowed to roll a die up to six times. Anytime you stop, you get the dollar amount of the face value of your last roll.
Question: What is the best strategy?
According to my calculation, for ...
3
votes
2answers
724 views
How can I (algorithmically) count the number of ways n m-sided dice can add up to a given number?
I am trying to identify the general case algorithm for counting the different ways dice can add to a given number. For instance, there are six ways to roll a seven with two 6-dice.
I've spent quite ...
