roll 8 sided die

dice - die roll probability with 8-sided die - mathematics stack exchange

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There are $\displaystyle\binom{9}{4}$ ways to have exactly $4$ dice out of $9$ display an $8$. Each of those ways has a chance of occurring of $\displaystyle\left(\frac{1}{8}\right)^4\left(\frac{7}{8}\right)^5$

Since each side has a $1/8$ probability, and you are concerned with one side, in comparison to the seven others, we have $((1/8)+(7/8))^9$. Then, you want to select the terms whose binomial coefficients are the ones above mentioned.

Where n is the number of attempts of independents events and p is the probability for success (and 1-p is the probability of fail). And k is the number of success on n attempts, P(X=k) is the probability for k success on this variable.

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roll a 8-sided dice (d8) for games or rpg - djet

Throw allows you to roll a dice online from one or more sides virtually. If you have lost or forgotten your dice to play any of your favorite games, you can easily perform a virtual dice roll from the online generator.

roll a 8-sided virtual dice

This equation can be used as an equation inside another equation (what we call at vCalc an EiE) to generate a random integer between 1 and 8 inclusive. Or you can use this equation independently to generate a dice roll in live game play. This equation is the digital equivalent of rolling a eight-sided dice.

Roll Five Virtual Cube DiceRoll Four Virtual Cube DiceRoll Three Virtual Cube DiceRoll Two Virtual Cube DiceRoll a 100-sided Virtual DiceRoll a 50-sided Virtual DiceRoll a 20-sided Virtual DiceRoll a 12-sided Virtual DiceRoll a 10-sided Virtual DiceRoll a 8-sided Virtual DiceRoll a 7-sided Virtual DiceRoll a 6-sided Virtual DiceRoll a 5-sided Virtual DiceRoll a 4-sided Virtual DiceRoll a 3-sided Virtual DiceFlip a coin

probability - keep the value of an 8-sided die roll, or gamble by taking a 12-sided die roll. what's the best strategy? - mathematics stack exchange

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If you are trying to maximise the expected score, then since the expected value of the 12-sided die is $6.5$, it makes sense to stop when the 8-sided die shows greater than $6.5$, i.e. when it shows $7$ or $8$, each with probability $\frac18$. So with probability $\frac34$ you throw the 12-sided die.

On the assumption that the utility of the result is nondecreasing (either a 2 is just as good as a 1, or better, etc.) there are only eight sensible strategies: keep a 2 or higher but reroll 1s, keep a 3 or higher but reroll 1s and 2s, ..., keep 8 but reroll 1-7, or reroll always.

Of those strategies "keep 7 or higher, reroll 6 or lower" is the one which maximizes the average, as explained by Henry. But others could make sense. If you're playing a Russian Roulette variant where 1 means bullet and 2 or higher means blank, you want to reroll a 1 and keep everything else. If you win $\$n^2$ on a roll of $n$ (and are risk-neutral), you should keep 8 but reroll everything lower.

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dice roller | missing dice

Simple. Select how many dice you want to roll, then click the roll dice button.By default there are just two conventional 6-sided dice. Click more options to roll 4, 8, 10, 12, or 20-sided dice."Dice" or "Die"?Die is the singular of Dice. You can roll many dice. But you can only roll one die.How many dice do you need?Some common games and the amount of dice they use:GameNumber of DiceAggravation4Backgammon4 (2 per player)Cluedo2Farkle6Greed6Ludo2Mahjong3Monopoly2Perudo5 per playerParcheesi2Risk6Snakes and Ladders1Sorry0Trivial Pursuit1Trouble2Yahtzee5

By default there are just two conventional 6-sided dice. Click more options to roll 4, 8, 10, 12, or 20-sided dice."Dice" or "Die"?Die is the singular of Dice. You can roll many dice. But you can only roll one die.How many dice do you need?Some common games and the amount of dice they use:GameNumber of DiceAggravation4Backgammon4 (2 per player)Cluedo2Farkle6Greed6Ludo2Mahjong3Monopoly2Perudo5 per playerParcheesi2Risk6Snakes and Ladders1Sorry0Trivial Pursuit1Trouble2Yahtzee5

Die is the singular of Dice. You can roll many dice. But you can only roll one die.How many dice do you need?Some common games and the amount of dice they use:GameNumber of DiceAggravation4Backgammon4 (2 per player)Cluedo2Farkle6Greed6Ludo2Mahjong3Monopoly2Perudo5 per playerParcheesi2Risk6Snakes and Ladders1Sorry0Trivial Pursuit1Trouble2Yahtzee5

Some common games and the amount of dice they use:GameNumber of DiceAggravation4Backgammon4 (2 per player)Cluedo2Farkle6Greed6Ludo2Mahjong3Monopoly2Perudo5 per playerParcheesi2Risk6Snakes and Ladders1Sorry0Trivial Pursuit1Trouble2Yahtzee5

dice odds for every type (d4, d6, d8, d10, d12, d20) - dice game depot

I myself prefer to have some mystery in my gaming, so I dont try to calculate odds while playing. What are the odds of my sword The Goblin Smasher of Good killing the evil plague rat troll-witch before it destroys the innocent village? Who cares? Go forth and save the day! I find that those people who stall and start calculating the odds are missing the point of story-based gaming; and are, in my view, sort of buzz-kills.

However, when developing games, sometimes the odds are necessary to know what the chances will be that the players will come out victorious. You dont want the game to be too easy or too hard. So you want to have a quick calculation of odds. There are the basics, such as to get any single number on each die type, and for those the odds are approximately:

rolling the dice - free math help

Assuming we have a standard six-sided die, the odds of rolling a particular value are 1/6. There is an equal probability of rolling each of the numbers 1-6. But, when we have two dice, the odds are not as simple. For example, there's only one way to roll a two (snake eyes), but there's a lot of ways to roll a seven (1+6, 2+5, 3+4).

How many total combinations are possible from rolling two dice? Since each die has 6 values, there are \(6*6=36\) total combinations we could get. If you add up the numbers in the total column above, you'll get 36.

5 ways to calculate multiple dice probabilities - wikihow

wikiHow is a wiki, similar to Wikipedia, which means that many of our articles are co-written by multiple authors. To create this article, 26 people, some anonymous, worked to edit and improve it over time. There are 8 references cited in this article, which can be found at the bottom of the page. This article has been viewed 257,762 times. Learn more...

Lots of people think that if you roll three six sided dice, you have an equal chance of rolling a three as you have rolling a ten. This is not the case, however, and this article will show you how to calculate the mean and standard deviation of a dice pool.

Learn the terminology of dice mechanics. Dice are usually of the 6 sided variety, but are also commonly found in d2(Coins), d4(3 sided pyramids), d8(Octahedra), d10(Decahedra), d12(Dodecahedra), and d20(Icosahedra). A dice roll follows the format (Number of Dice) (Shorthand Dice Identifier), so 2d6 would be a roll of two six sided dice. In this article, some formulas will assume that n = number of identical dice and r = number of sides on each die, numbered 1 to r, and 'k' is the combination value.[1] X Research source There are several methods for computing the likelihood of each sum.

To calculate multiple dice probabilities, make a probability chart to show all the ways that the sum can be reached. For example, with 5 6-sided dice, there are 11 different ways of getting the sum of 12. Just make sure you dont duplicate any combinations. Keep in mind that not all partitions are equally likely. For instance, with 3 6-sided dice, there are 6 ways of rolling 123 but only 3 ways of rolling 114 and 1 way of rolling 111. To work out the total number of outcomes, multiply the number of dice by the number of sides on each die. For 5 6-sided dice, there are 305 possible combinations. For more tips, including how to make a spreadsheet with the probability of all sums for all numbers of dice, read on! Did this summary help you?YesNo

8-sided dice (d8) for sale | dice game depot

With the shape of an octahedron, there is no established pattern for how the numbers are arranged on the dice. Sometimes they are arranged so that the numbers on opposite sides add up to 9 (1 and 8, 2 and 7, 3 and 6, and so forth), but this practice varies by manufacturer, so you're sure to see d8's with the numbers arranged differently. Fortunately this has no effect on how the dice roll so variant numbering schemes on d8's will not make them any more or less fair.