Dice Definition and 228 Threads

3. Three indistinguishable (fair) dice are thrown simultaneously at random. (a) Find the probability that no two dice show the same face (the same number). (b) Find the probability that the sum of the three dice is less than six and that no two dice show the same face (the same number...

Homework Statement Fuzzy dice hang from the rear-view mirror of a car rounding a curve. If the curve has a radius of 275 meters and the dice are hanging at an angle of 12° from the vertical, how fast is the car going? Homework Equations a = v2/R for an acceleration with a constant...

Ivan throws three fair dice. (i) List all the possible scores on the three dice which give a total score of 5, and hence show that the probability of Ivan obtaining a total score of 5 is 1/36 MY PROBLEM HERE IS THAT I CANNOT...

What is the probability of getting a 10 or a 11 when a pair of dice are rolled?

I was playing a pencil and paper role playing game with some friends, and some questions came up about the what is most important to increase to get better at a skill. There are two values for each skill- the basic value and your training value. The basic value ranges from 1-7 and determines how...

Puzzling "roll X dice, choose Y highest" problem Hi folks, Over the past few days, a friend and I have been wracking our brains over a dice throw probability problem. As the post title describes, it's simply rolling X dice and picking the Y highest (we coined the notation 'xky' for 'roll x...

Draw a table for throwing two dice (one red one blue). Find the probability. 1. That the sum is divisible by seven 2. The sum has factors whose sum is even 3. The sum is a composite number. My solutions: 1. 1/6 2. 7/11 3. 7/12 Work is attached: Any advice would be great. Thanks...

Draw a table for throwing two dice (one red one blue). Find the probability. 1. That the sum is divisible by seven 2. The sum has factors whose sum is even 3. The sum is a composite number. My solutions: 1. 1/6 2. 7/36 3. 31/36 Any advice would be great. Thanks in advanced.

This script looks easy but from staring at it for countless times and referring to a book, I can't figure it out...I'm really stressing out Anyways these are the instructions...So you need 1 main script and then a function script 1.You are playing a game where you roll a die 12 times. In...

Homework Statement Roll a fair die three times Let X be the number of different faces shown all together ( X = 1,2,3 ) Find px(k) Homework Equations The Attempt at a Solution Alright so I kno that i need to get the individual probabilities of each outcome The first one where...

Homework Statement A 0.0820 kg pair of fuzzy dice is attached to the rearview mirror of a car by a short string. The car accelerates at a constant rate, and the fuzzy dice hang at an angle due to the car's acceleration. If the dice hang at 5.00° from the vertical as the car accelerates, what...

i throw a dice 5 times, 1)what is the probability that i get the number 6 at least twice? 2)what is the probability that i get the same number at least 4 times? i know that since i am throwing the dice 5 times i have 6^5=7776 options now all i need to find out is how many of those...

i throw a dice until i get a result (6) 20 times, what is the probability that i will throw the dice more than 100 times? i made X=amount of times i throw the dice so now I am looking for P(X>100) i think that i can say X~B(n, 1/6) but the problem is that i don't know n, since it is...

Homework Statement You have a fair coin. Your friend has a fair die you flip your coin 10 times. Your friend rolls his die 15 times. What is the probability that you get "heads" exactly the same number of times your friend gets "3" or "5". Leave your answer in the form of a summation. No need...

The basic idea is this. You get to roll 5 or 6 12-sided dice (d12). For any 12's your roll, you every 12 you roll, you get to roll another d12, and if any of those result in 12's, you get another d12. What I have been trying to figure out is what is the average number of dice rolled and the...

Homework Statement A die is rolled 13 times. What is the probability of at least two 6's appearing? (Round your answer to four decimal places.) 2. The attempt at a solution I know that the total number of outcomes is 6^13. I did (13nCr2)x(1x1x6x6x6x6x6x6x6x6x6x6x6)/6^13, but the answer...

Homework Statement Sarah and Thomas each roll a die. Whoever gets the higher number wins; if they both roll they same number, neither wins. a. What is the probability that Thomas wins? b. If Sarah, rolls a 3 what is the probability that she wins? c. If Sarah rolls a 3 what is the...

Hello, I have a dice (or just general probability) question. Its kind of a question of odds of odds. If you roll a 17 sided die 12500 times (sorry for the non rounded number) the probability with the highest odds is that it will come up on one particular number (pick one) 735 times...

The dice is 'fair' - does that mean it is a fair chance to roll any number ? I say the answer is just the average forumula. My friend says the answer is 'each has a fair chance of occurring' or something like that < --- but that's not the average roll I also know that the more times...

There is 5 players with 5 dices each = 25 throws per game Whats the probability that there is X dices with the value Y(1-6) on the table. for example. probability for 8 three's this is calculated through the binomial theorem right? http://en.wikipedia.org/wiki/Binomial_theorem where n=25, k=8...

Hello! I need help on yet another probability question.. Question: A red dice has the number 1 on one face, the number 2 on two faces and the number 3 on three faces. Two green dice each has the number 6 on one face and the number 5 on five faces. The three dice are thrown together...

Not sure if I should ask this here but I'm trying to find the probabilty of consecutive numbers on tossing three dice. eg 1 2 3 , 4 5 6 etc My workings so is nPr = 3P3 (how many permutaions of 3 numbers in order) = n!/(n-r)! = 3!/0! = 6 What I did next is calulate all...

I have got a problem. The dice is thrown until 1 has been rolled twice. The two 1´s do not need to be rolled consecutively. Whenever the counter of the 1´s is one and if a 6 is rolled, then the counter of the 1´s is reset to zero, i.e. at least two more 1´s have to be rolled in order...

The number that comes up on a die seems to be determined by mechanics - not probability; eventhough dice are used to explain probability. Is there a analogus process that determines where a photon will fall in the double split experiment - eventhough it is explained by probability?

Homework Statement Roll 7 dice. What is the probability that the sum of the numbers is 14? Homework Equations Possibly a probability generating function because the problem comes from the chapter that deals with it but I can't think of which one (if any actually apply). The...

Homework Statement Five dice are rolled. You win a dollar for each number other than a five that is rolled, but you don't win extra for duplicate numbers; for example if [3,5,3,2,1] is the result, then you win three dollars. What should you pay to play this game (what is expected value)...

A classic die is six sided with pips of equal depth. It seems to me that if it is perfectly symmetrical and the sides are in the classic configuration (opposite sides total 7) the center of gravity will not be in the center of the cube. Correct? Has anyone ever tried to figure out where it is...

Well, dice anyway... You make a sequence of rolls with a pair of dice. What is the probability that all six place numbers, 4-5-6-8-9-10, come up in any order before you roll a 7? In his book New Complete Guide to Gambling, John Scarne gave the calculation P =...

Homework Statement An unbiased six-sided dice is thrown 10 times. What is the probability that exactly 4 of anyone number alone will occur? Homework Equations Binomial equation Combinatorial equations The Attempt at a Solution You would be interested in the probability of...

Homework Statement A pair of fair dice is rolled until the first 8 appears. What is the probability that a sum of 7 does not precede a sum of 8. Homework Equations Geometric series The Attempt at a Solution P(sum of 7 does not appear before sum of 8) = 5/36 + 5/36 * 25/36 +...

Homework Statement A pair of fuzzy dice is hanging by a string from your rearview mirror. while you are accelerating from a stoplight to 28 m/s in 6.0 s, what angle does the string make with the verticle? Homework Equations im having trouble finding the mass and the force on the dice i...

Homework Statement Heres the problem, I've done these kind of problems before but it has been about a year for me since I've done one and I can't seem to remember how to anymore: A pair of “fuzzy dice” hangs from a string attached to the rear view mirror of a race car moving with constant...

"God does not play dice" referred to what exactly? What was Einstein referring to? As I recall Einstein believed some process was non-random, but the general consensus in physics is that it is indeed random.

Okay, here is a problem that has been bugging me: I'm not necessarily looking for a general solution, though one would be great. But I would like to at least be able to compute the answer for particular sets of input. So far, I believe I have found that answering the main question is...

Hello all, I was thinking about how a certain probability would be calculated and the answer is eluding me. It has been a number of years since I have taken a statistics and probabilities class so I am a little rusty. Anyway, to jump right into my question: How would one figure out the...

[SOLVED] Number of rolls with m many n-sided dice How many different rolls are there with m many n-sided dice, if order is not important? If order was important, the answer would simply be n^m. But if order is not important? If two 6-sided dice are rolled, there are C(6,2)+C(6,1) = 21...

quantum randomness vs. "dice randomness" Can anybody explain what's the difference between quantum randomness and "regular" randomness, please. (say random distribution of dice-faces when throwing a dice)

Homework Statement 12 different dice are rolled. How many outcomes will have at least one of each number 1,2,3,4,5,6 occurring? The Attempt at a Solution I don't even know where to go because I really don't know what the question is asking. Does it mean how many rolls (where each roll is...

A question about probability calculation What is the probability that the sum from two dices are under 9, i don’t know a fast way to calculate that :(, instead i calculated it manually by listing all possible event. Divided by the total number of outcomes 6*6=36 And something else that I...

This is a standard fuzzy dice problem, hung in a car, at angle, theta, and I have to find the acceleration of the car. I understand the approach used by the prof where he sets the x-y plane relative to mg. So the sum of forces in the x direction = ma = Tsin(theta) Similarly, in the y...

So, I'm having trouble seeing a pattern in this small analysis and was wondering if anyone might be able to lend a hand. Suppose I toss a die with a result of n points. Then, whatever those n points are determines the number of dice you throw a second time. If the sum of your second throw is...

Dice with weighted sides, looking for odds of a sum:faster way please Homework Statement 6 side die is weighted so prob of rolling 2,3,4,5,6 is same and rolling 1 is 3x rolling a 2. If die is thrown twice, what's odds of getting a sum of 4? Homework Equations The Attempt at a Solution...

I'm an Applied Physics major (considering switching to plain, vanilla Physics), and I've been working on this problem forever. It's not homework; only something I've been trying to work out, in bits and pieces, over the past few weeks in my spare time. It's for a game called D&D, which I'm sure...

Homework Statement Given two unmarked, cubic dice and using the set of whole numbers, place numbers on each die such that only the following sums can be thrown: 5, 7, 9, 11, 13, 15, 17, 19, 21, 23, 25, 27 and the probability of rolling each sum is the same. Homework Equations The...

This is for a PnP RPG I am creating... I've looked around for places on the internet, but haven't really found anything so I figured I'd go to the source. ;) QUESTION: I'm rolling 3d8, (3 eight-sided dice), seven times. What is the average of each roll? Because these are dice, I figured each...

This is reminiscent of similar dice riddles, but the answer to this one appears to defy logic. Unless I'm mistaken, this is not as obvious as it looks. There are six unloaded die. Each has been rolled out of your sight and hidden behind a cup. You are informed that no more than one of them...

I hate discontinuity in nature. When I graph the probabilities of dice rolls (say, 2 dice or 3 dice) I get integer values that result discrete steps, like a staircase. But I know that the set of points represents a smooth bell curve. How can a set of discrete integer points - each of...

Hello, I'm a student currently nearing the end of high school, so my knowledge of physics (or even general math for that matter) are somewhat . . . lacking. That said, I'm currently attempting to figure out the various simple principles that apply to rolling a pair of dice across a table...

When rolling 5 dice one time for each, what is the formula to figure the probability of getting a 5 of a kind, 4 of a kind, 3 of a kind, pair, and a straight. I used 6*(1/6*1/6*1/6*1/6*1/6) to get the probability of 5 of a kind and came up with 6/7776. What formulas do I use to get the others...

Homework Statement What is the probability of rolling exactly two ones from a set of six dice? Homework Equations Binomial probability distribution? The Attempt at a Solution I tried: P = 6!/(2! x 4!) x (1/6)^2 x (5/6)^4 and got 0.20, but the book says that's a factor of 10...