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DescriptionFudge dice tree.svg	English: A tree (made with w:Graphviz describing the process of throwing four Fudge dice and computing their sum. The uppermost row is the starting position (${\displaystyle 0}$ dice thrown), the next row contains the possible states after one die has been thrown, etc. Each node contains the sum so far (above) and the probability of getting to that node (below).
Date	7 October 2007
Source	Own work
Author	w:User:Bromskloss

The following source code was compiled with dot -Tsvg -o "Fudge dice tree.svg" "Fudge dice tree.dot" to produce the image:

digraph G {
	"0_0" [label="0\n1"]
	"0_0" -> "1_-1"
	"0_0" -> "1_0"
	"0_0" -> "1_1"

	"1_-1" [label="-1\n1/3"]
	"1_0" [label="0\n1/3"]
	"1_1" [label="1\n1/3"]
	"1_-1" -> "2_-2"
	"1_-1" -> "2_-1"
	"1_-1" -> "2_0"
	"1_0" -> "2_-1"
	"1_0" -> "2_0"
	"1_0" -> "2_1"
	"1_1" -> "2_0"
	"1_1" -> "2_1"
	"1_1" -> "2_2"

	"2_-2" [label="-2\n1/9"]
	"2_-1" [label="-1\n2/9"]
	"2_0" [label="0\n3/9"]
	"2_1" [label="1\n2/9"]
	"2_2" [label="2\n1/9"]
	"2_-2" -> "3_-3"
	"2_-2" -> "3_-2"
	"2_-2" -> "3_-1"
	"2_-1" -> "3_-2"
	"2_-1" -> "3_-1"
	"2_-1" -> "3_0"
	"2_0" -> "3_-1"
	"2_0" -> "3_0"
	"2_0" -> "3_1"
	"2_1" -> "3_0"
	"2_1" -> "3_1"
	"2_1" -> "3_2"
	"2_2" -> "3_1"
	"2_2" -> "3_2"
	"2_2" -> "3_3"

	"3_-3" [label="-3\n1/27"]
	"3_-2" [label="-2\n3/27"]
	"3_-1" [label="-1\n6/27"]
	"3_0" [label="0\n7/27"]
	"3_1" [label="1\n6/27"]
	"3_2" [label="2\n3/27"]
	"3_3" [label="3\n1/27"]
	"3_-3" -> "4_-4"
	"3_-3" -> "4_-3"
	"3_-3" -> "4_-2"
	"3_-2" -> "4_-3"
	"3_-2" -> "4_-2"
	"3_-2" -> "4_-1"
	"3_-1" -> "4_-2"
	"3_-1" -> "4_-1"
	"3_-1" -> "4_0"
	"3_0" -> "4_-1"
	"3_0" -> "4_0"
	"3_0" -> "4_1"
	"3_1" -> "4_0"
	"3_1" -> "4_1"
	"3_1" -> "4_2"
	"3_2" -> "4_1"
	"3_2" -> "4_2"
	"3_2" -> "4_3"
	"3_3" -> "4_2"
	"3_3" -> "4_3"
	"3_3" -> "4_4"

	"4_-4" [label="-4\n1/81"]
	"4_-3" [label="-3\n4/81"]
	"4_-2" [label="-2\n10/81"]
	"4_-1" [label="-1\n16/81"]
	"4_0" [label="0\n19/81"]
	"4_1" [label="1\n16/81"]
	"4_2" [label="2\n10/81"]
	"4_3" [label="3\n4/81"]
	"4_4" [label="4\n1/81"]
	
}

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