dice-package: Calculate probabilities of various dice-rolling events

In dice: Calculate probabilities of various dice-rolling events

Description

This package provides utilities to calculate the probabilities of various dice-rolling events, such as the probability of rolling a four-sided die six times and getting a 4, a 3, and either a 1 or 2 among the six rolls (in any order); the probability of rolling two six-sided dice three times and getting a 10 on the first roll, followed by a 4 on the second roll, followed by anything but a 7 on the third roll; or the probabilities of each possible sum of rolling five six-sided dice, dropping the lowest two rolls, and summing the remaining dice.

Details

Package:	dice
Type:	Package
Version:	1.2
Date:	2014-10-13
License:	GPL (>= 2)

Although initially conceived as a utility for role-playing game calculations, functions in the dice package can be used to answer questions in any dice-rolling context (e.g., calculating probabilities for the game of craps, solving problems for an introductory probability course, etc.)

The dice package requires the gtools package.

For a complete list of functions, use library(help="dice").

Author(s)

Dylan Arena <[e-mail]>

References

The implementation for the getSumProbs function originated with the ideas presented in the following forum thread:

http://www.enworld.org/showthread.php?t=56352&page=1&pp=40

Examples

getEventProb(nrolls = 6,
             ndicePerRoll = 1,
             nsidesPerDie = 4,
             eventList = list(4, 3, c(1,2)),
             orderMatters = FALSE)

getEventProb(nrolls = 3,
             ndicePerRoll = 2,
             nsidesPerDie = 6,
             eventList = list(10, 4, c(2:6, 8:12)),
             orderMatters = TRUE)

getSumProbs(ndicePerRoll = 5,
            nsidesPerDie = 6,
            nkept = 3,
            dropLowest = TRUE)

Example output

Loading required package: gtools
[1] 0.6445312
[1] 0.005787037
$probabilities
      Sum  Probability Ways to Roll
 [1,]   3 0.0001286008            1
 [2,]   4 0.0006430041            5
 [3,]   5 0.0019290123           15
 [4,]   6 0.0052726337           41
 [5,]   7 0.0115740741           90
 [6,]   8 0.0218621399          170
 [7,]   9 0.0380658436          296
 [8,]  10 0.0604423868          470
 [9,]  11 0.0855195473          665
[10,]  12 0.1132973251          881
[11,]  13 0.1356738683         1055
[12,]  14 0.1485339506         1155
[13,]  15 0.1428755144         1111
[14,]  16 0.1202417695          935
[15,]  17 0.0784465021          610
[16,]  18 0.0354938272          276

$average
[1] 13.43017

dice documentation built on May 2, 2019, 3:01 a.m.