What is Dice: Definition and 228 Discussions

Dice (singular die or dice) are small, throwable objects with marked sides that can rest in multiple positions. They are used for generating random numbers, commonly as part of tabletop games, including dice games, board games, role-playing games, and games of chance.
A traditional die is a cube with each of its six faces marked with a different number of dots (pips) from one to six. When thrown or rolled, the die comes to rest showing a random integer from one to six on its upper surface, with each value being equally likely. Dice may also have polyhedral or irregular shapes and may have faces marked with numerals or symbols instead of pips. Loaded dice are designed to favor some results over others for cheating or entertainment.

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  1. marcus

    Of Dice and Divinity-discussion started by MeJennifer

    Of Dice and Divinity---discussion started by MeJennifer MeJennifer initiated the following discussion of a Foundations of Physics and Probability paper from our link-library I hope discussion of Appleby's paper can be pursued here (as the link-library thread doesn't have room for discussions)
  2. B

    What is the angle of a hanging dice during acceleration?

    Homework Statement A pair of fuzzy dice is hanging by a string from your rearview mirror. While you are accelerating from a stoplight to 29 m/s in 5.7 s, what angle θ does the string make with the vertical? Homework Equations v_f=v_0+a*t x_f=x_0+v_0*t+0.5a*t^2 v_f^2=v_0^2+2*a(x_f-x_0)...
  3. M

    Win Dice Game: Die A or Die B?

    Die A has four 9's and two 0's on its faces. Die B has four 3's and two 11's on its faces. when either of these dice is rolled, each face has an equal chance of landng on top. two players are going to play a game. the first player selects a die and rolls it. the second player rolls the...
  4. A

    Probability of Sum of Dice Rolls for Positive Integer "m

    I ran into this next problem and I am having hard time getting a final answer for it for every m : A dice is rolled and summed over and over , What is the probability That the sum will be "m" , "m" is a positive integer My problem starts after the numer 6 , as I start to loose options...
  5. W

    Dice problem that I can't fully get my head around

    There's a probability question I saw on the web that looks innocent enough, unless you pay attention to the wording: I have two dice. If i roll them until i get a double, which is the most likely roll to get a double on? The answer given is below: The first roll is the most likely. Heres...
  6. T

    What is the probability of scoring a sum of 7 after 20 tosses with 2 dice?

    Suppose we make 20 tosses using 2 dice. What is the probability of scoring a two numbers that sum to 7? My attempt The sample space for a single toss of a single die is S = {1, 2, 3, 4, 5, 6} For a single toss of both dice, the sample space is S = {(1, 1), (1, 2), (1, 3), (1, 4), (1...
  7. T

    (Intro to Statistics) A game consists of rolling a pair of dice

    Hi there, This question is giving me some trouble... 1.1-6 A game consists of rolling a pair of dice and moving a game piece the number of spaces according to the total number of dots on the dice. In order to move the game piece on a player's first turn, the player must roll a 1 or a 6...
  8. J

    Discover the Probability of Rolling a 6-6-6-6-4-1 with Six Dice"

    I have absolutely no idea on how to calculate probabilities. So some help, would be greatly appreciated. What are the odds, in fraction form, of rolling with six die and getting a 6 6 6 6 4 1 on the first roll?
  9. A

    Interesting question about throwing of dice

    Can someone help me? Why the argument is false ? In this problem you must explain the results in intuitiva way. One formal prove or verbal description of a prove is not satisfactory answers. 1) It considers the following events: A: To get one 6 in four throwing of a die; B: To get one...
  10. A

    Conditional probability - Random number of dice

    Can someone help me with this question ? A random number N of dice is thrown. Let Ai be the event that N = i, and assume that P(Ai) = 1/(2)^i, i >= 1. The sum of the scores is S. Find the probability that: (a) S = 4, given N is even; (b) the largest number shown by any die is r, where S...
  11. Link

    How Can I Model Dice Behavior to Predict When Half Are Removed?

    Ok i got this assignment to develop a model for describing dice behaviour. I have no studied probability before, so i don't even know where to start. There are 216 dices. They are rolled, and the sixes ar taken out after each roll. The rolling commences until all dices are gone. The...
  12. R

    Solving Expectations of a Fair Dice Rolled - Help with Parts b & c

    I am studying for a test tomorrow and this question is on the review sheet and I can't figure it out. Suppose a fair die is rolled ten times. Find numerical values for the expectations of each of the following random variables. a) The sum of the numbers in ten rolls; b) The sum of the...
  13. J

    Unusually Common Dice: Find the Unexpected Ordinary

    The number of spots on the faces of a normal die are 1, 2, 3, 4, 5, 6. Here is an unusual pair of dice. One has the following number of spots on its faces: 1, 3, 4, 5, 6, 8 The other has: 1, 2, 2, 3, 3, 4 Obviously, these are not ordinary dice. The problem is to find out what is...
  14. M

    What is the Optimal Strategy for a Dice-Based Poker Game?

    This was a problem that arose from a game that me and my friends play following a game of golf to determine who picks up the post game refreshments in the clubhouse. Let me first explain the game, then I will give you the question that we have come up with. For simplicity, assume that there are...
  15. cepheid

    Poker Dice Probability Problem

    The assigned problem: Poker dice is played by simultaneously rolling 5 dice. Compute the probabilities of the following outcomes: b) two pairs (aabbc, with a, b, c distinct; answer: 0.2315) My solution attempt: Let E be the event specified. The number of ways it can occur is given...
  16. K

    Probability of Rolling Sum > 8 w/ Dice: Calculating Probability & Avg Rolls

    A pair of dice is being rolled. The probability for rolling a sum greater than 8 is 10/36. Is the probability for it taking two rolls to attain a sum greater than 8 just 26/36 times 26/36? I need to make a table of the number of rolls it takes to obtain a sum greater than 8, and the...
  17. S

    Slicing dice and cutting corners

    A dice has 6 sides. If you cut the corners of a dice you get 6 + 8 = 14 sides. If you cut again, the minimum number of sides you get is 6 + 8 + 12. If you cut n times, what is the minimum number of sides you get?
  18. H

    Variance of 36 standard dice rolls

    So i need to find the variance of a number of dice rolls. I know that i use the following formula: N ∑ ( X i - µ)2 i = 1 σ2 = --------------- N but i don't know how to use it. I feel really stupid asking this but i am really lost right...
  19. K

    Probability of Throwing at least 1 "6" vs Double 6 in Dice Rolls

    TASK: Show that throwing at least one "6" within 4 throws of a die is more likely than throwing a "double 6" within 24 throws of two dice. SOLUTION: I can do the first result two ways. Firstly, I can use the complement of "four dice all showing something other than six" which would be 1 -...
  20. J

    Needed: Predator/Prey Dice Model

    Does anyone know where I can find the descriptions of an experiment using dice to model predator-prey relationships?
  21. ShawnD

    How can I calculate the probability of getting a sum of 33 with 10 dice?

    I'm trying to figure out how to calculate probabilities with dice. Suppose I had 10 dice, each with 6 sides, and I added the value of each die. How can I calculate the probability of getting an added sum of 33, or any other number? I know how to calculate the probability of getting that 33...
  22. U

    Calculating Probability of Rolling a 7 with Dice

    The probability of rolling a 7 with a pair of ordinary dice is 1/6 because, of the 36 possible (and equally likely) combinations, six of them sum to 7. Now, suppose the dice are rolled out of one's sight and some honest person who can see the result tells us that at least one of the dice came up...
  23. P

    Roll of the Dice: Number Probability

    Curious, since dice have varying indentations per side(one, two, three, four, five, six), is a dice(die?) not more apt to settle with the single "one spot" down on the table?
  24. R

    God Does Not Play Dice: Explaining Einstein's Uncertainty Principle

    What did Einstein mean when he said, "God Does Not Play Dice" I know that is has to do something with the uncertainty principle bit i don't understand what he meant...Maybe i just don't really understand the uncertainty principle. Can someone briefly go over it.
  25. S

    What Is the Probability of Rolling 9 Buncos in 30 Rounds?

    I'll try to make this short, but this thread deals with the dice game bunco. Briefly, in the game, there are many different rounds, and in each round, you are trying to roll a certain number with 3 dice. So if we are going for 2's, we roll 3 dice and get points for how many 2's show up...
  26. M

    Help with a Dice problem (need an expert although the problem seems simple)

    Ok some friends and I have been arguing over this for hours! If we are rolling 3 six sided dice, one at a time, what are the odds that one of the three dice will land on a 6 (lets say). Each dice clearly has a 1/6 chance of landing on the 6 each. We are not interested in more than one...
  27. K

    Calculating Angle of Fuzzy Dice with Acceleration

    I'm not sure I have enough info but the question goes like this...Fuzzy dice are hanging from a rearview mirror. The car accelerates at 3.54m/s^2 What angle will the dice make with the vertical? I have a force diagram showing of the dice Mg points down. T points up to the right in the 1st...
  28. J

    Equilibrium of a Homogeneous Dice on Horizontal Rods: Finding the Critical Angle

    Hi ! I've been working on the following problem for quite some time now and I just can't figure out how to do it: A homogeneous dice, whose edges have a length of a, is situated on two horizontal, thin, rigid rods. The rods are parallel to each other and are installed on the same height...
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