User talk:LRichardson/Essays/2d6 to 1d20 Conversion

I'm going to be reworking this to include equivalences for 1d20, 1d24, 1d30 and 1d100.

In the meantime I am going to be holding the formatted tables here.

Table Holding Area

2d6

Decimal Values
Roll	P equal to or	P less	P equal to or	P greater
( R )	less than R	than R	greater than R	than R
2	0.0278	0.0000	1.0000	0.9722
3	0.0833	0.0278	0.9722	0.9167
4	0.1667	0.0833	0.9167	0.8333
5	0.2778	0.1667	0.8333	0.7222
6	0.4167	0.2778	0.7222	0.5833
7	0.5833	0.4167	0.5833	0.4167
8	0.7222	0.5833	0.4167	0.2778
9	0.8333	0.7222	0.2778	0.1667
10	0.9167	0.8333	0.1667	0.0833
11	0.9722	0.9167	0.0833	0.0278
12	1.0000	0.9722	0.0278	0.0000

Reduced Table
Roll	Number of	C equal to or	C less	C equal to or	C greater
( R )	Combinations	less than R	than R	greater than R	than R
2	1	1	0	36	35
3	2	3	1	35	33
4	3	6	3	33	30
5	4	10	6	30	26
6	5	15	10	26	21
7	6	21	15	21	15
8	5	26	21	15	10
9	4	30	26	10	6
10	3	33	30	6	3
11	2	35	33	3	1
12	1	36	35	1	0

1d20

1d20
Roll	P equal to or	P less	P equal to or	P greater
( R )	less than R	than R	greater than R	than R
1	0.05	0.00	1.00	0.95
2	0.10	0.05	0.95	0.90
3	0.15	0.10	0.90	0.85
4	0.20	0.15	0.85	0.80
5	0.25	0.20	0.80	0.75
6	0.30	0.25	0.75	0.70
7	0.35	0.30	0.70	0.65
8	0.40	0.35	0.65	0.60
9	0.45	0.40	0.60	0.55
10	0.50	0.45	0.55	0.50
11	0.55	0.50	0.50	0.45
12	0.60	0.55	0.45	0.40
13	0.65	0.60	0.40	0.35
14	0.70	0.65	0.35	0.30
15	0.75	0.70	0.30	0.25
16	0.80	0.75	0.25	0.20
17	0.85	0.80	0.20	0.15
18	0.90	0.85	0.15	0.10
19	0.95	0.90	0.10	0.05
20	1.00	0.95	0.05	0.00

1d20
Roll	Raw 2d6	Adjusted	Wildcard	Alt. Wildcard
( R )	Equivalent	2d6 Eq.	2d6 Eq.	2d6 Eq.
1	2	2	3	3
2	3	3	4	4
3	4	4	4	4
4	5	5	5	5
5	5	5	5	5
6	5	6	6	6
7	6	6	6	6
8	6	6	6	7
9	7	7	7	7
10	7	7	7	7
11	7	7	7	7
12	7	7	8	7
13	8	8	8	8
14	8	8	8	8
15	9	8	9	9
16	9	9	9	9
17	9	9	10	10
18	10	10	10	10
19	11	11	11	11
20	12	12	2 or 12	2 or 12

1d24

Decimal Probability

1d24
Roll	P equal to or	P less	P equal to or	P greater
( R )	less than R	than R	greater than R	than R
1	0.0417	0.0000	1.0000	0.9583
2	0.0833	0.0417	0.9583	0.9167
3	0.1250	0.0833	0.9167	0.8750
4	0.1667	0.1250	0.8750	0.8333
5	0.2083	0.1667	0.8333	0.7917
6	0.2500	0.2083	0.7917	0.7500
7	0.2917	0.2500	0.7500	0.7083
8	0.3333	0.2917	0.7083	0.6667
9	0.3750	0.3333	0.6667	0.6250
10	0.4167	0.3750	0.6250	0.5833
11	0.4583	0.4167	0.5833	0.5417
12	0.5000	0.4583	0.5417	0.5000
13	0.5417	0.5000	0.5000	0.4583
14	0.5833	0.5417	0.4583	0.4167
15	0.6250	0.5833	0.4167	0.3750
16	0.6667	0.6250	0.3750	0.3333
17	0.7083	0.6667	0.3333	0.2917
18	0.7500	0.7083	0.2917	0.2500
19	0.7917	0.7500	0.2500	0.2083
20	0.8333	0.7917	0.2083	0.1667
21	0.8750	0.8333	0.1667	0.1250
22	0.9167	0.8750	0.1250	0.0833
23	0.9583	0.9167	0.0833	0.0417
24	1.0000	0.9583	0.0417	0.0000

2d6 Equivalences

1d24
Roll	Raw 2d6	Adjusted	Wildcard	Alt. Wildcard
( R )	Equivalent	2d6 Eq.	2d6 Eq.	2d6 Eq.
1	2	2	3	3
2	3	3	4	4
3	4	4	4	4
4	4	4	5	5
5	5	5	5	5
6	5	5	5	6
7	5	5	6	6
8	6	6	6	6
9	6	6	6	6
10	6	6	7	7
11	7	7	7	7
12	7	7	7	7
13	7	7	7	7
14	7	7	7	7
15	8	8	8	8
16	8	8	8	8
17	8	8	8	8
18	9	9	9	8
19	9	9	9	9
20	9	9	9	9
21	10	10	10	10
22	10	10	10	10
23	11	11	11	11
24	12	12	2 or 12	2 or 12

Battlemech Hit Location Table

Adjusted

1d24	Left	Front / Rear	Right
1	Left Torso (Crit)	Center Torso (Crit)	Right Torso (Crit)
2	Left Leg	Right Arm	Right Leg
3	Left Arm	Right Arm	Right Arm
4	Left Arm	Right Arm	Right Arm
5	Left Arm	Right Leg	Right Arm
6	Left Arm	Right Leg	Right Arm
7	Left Arm	Right Leg	Right Arm
8	Left Leg	Right Torso	Right Leg
9	Left Leg	Right Torso	Right Leg
10	Left Leg	Right Torso	Right Leg
11	Left Torso	Center Torso	Right Torso
12	Left Torso	Center Torso	Right Torso
13	Left Torso	Center Torso	Right Torso
14	Left Torso	Center Torso	Right Torso
15	Center Torso	Left Torso	Center Torso
16	Center Torso	Left Torso	Center Torso
17	Center Torso	Left Torso	Center Torso
18	Right Torso	Left Leg	Left Torso
19	Right Torso	Left Leg	Left Torso
20	Right Torso	Left Leg	Left Torso
21	Right Arm	Left Arm	Left Arm
22	Right Arm	Left Arm	Left Arm
23	Right Leg	Left Arm	Left Leg
24	Head	Head	Head

Wildcard

1d24	Left	Front / Rear	Right
1	Left Leg	Right Arm	Right Leg
2	Left Arm	Right Arm	Right Arm
3	Left Arm	Right Arm	Right Arm
4	Left Arm	Right Leg	Right Arm
5	Left Arm	Right Leg	Right Arm
6	Left Arm	Right Leg	Right Arm
7	Left Leg	Right Torso	Right Leg
8	Left Leg	Right Torso	Right Leg
9	Left Leg	Right Torso	Right Leg
10	Left Torso	Center Torso	Right Torso
11	Left Torso	Center Torso	Right Torso
12	Left Torso	Center Torso	Right Torso
13	Left Torso	Center Torso	Right Torso
14	Left Torso	Center Torso	Right Torso
15	Center Torso	Left Torso	Center Torso
16	Center Torso	Left Torso	Center Torso
17	Center Torso	Left Torso	Center Torso
18	Right Torso	Left Leg	Left Torso
19	Right Torso	Left Leg	Left Torso
20	Right Torso	Left Leg	Left Torso
21	Right Arm	Left Arm	Left Arm
22	Right Arm	Left Arm	Left Arm
23	Right Leg	Left Arm	Left Leg
24	Special	Special	Special

Alternate Wildcard

1d24	Left	Front / Rear	Right
1	Left Leg	Right Arm	Right Leg
2	Left Arm	Right Arm	Right Arm
3	Left Arm	Right Arm	Right Arm
4	Left Arm	Right Leg	Right Arm
5	Left Arm	Right Leg	Right Arm
6	Left Leg	Right Torso	Right Leg
7	Left Leg	Right Torso	Right Leg
8	Left Leg	Right Torso	Right Leg
9	Left Leg	Right Torso	Right Leg
10	Left Torso	Center Torso	Right Torso
11	Left Torso	Center Torso	Right Torso
12	Left Torso	Center Torso	Right Torso
13	Left Torso	Center Torso	Right Torso
14	Left Torso	Center Torso	Right Torso
15	Center Torso	Left Torso	Center Torso
16	Center Torso	Left Torso	Center Torso
17	Center Torso	Left Torso	Center Torso
18	Center Torso	Left Torso	Center Torso
19	Right Torso	Left Leg	Left Torso
20	Right Torso	Left Leg	Left Torso
21	Right Arm	Left Arm	Left Arm
22	Right Arm	Left Arm	Left Arm
23	Right Leg	Left Arm	Left Leg
24	Special	Special	Special

Special Result Table

1d24	Left	Front / Rear	Right
1 – 12	Head	Head	Head
13 – 24	LT (Critical)	CT (Critical)	RT (Critical)

Equivalent Cluster Hits Table

1d24	2	3	4	5	6	7	8	9	10	11	12	13	14	15	16	17	18	19	20	21	22	23	24	25	26	27	28	29	30	40
1	1	1	1	1	2	2	3	3	3	4	4	4	5	5	5	5	6	6	6	7	7	7	8	8	9	9	9	10	10	12
2	1	1	2	2	2	2	3	3	3	4	4	4	5	5	5	5	6	6	6	7	7	7	8	8	9	9	9	10	10	12
3	1	1	2	2	3	3	4	4	4	5	5	5	6	6	7	7	8	8	9	9	9	10	10	10	11	11	11	12	12	18
4	1	1	2	2	3	3	4	4	4	5	5	5	6	6	7	7	8	8	9	9	9	10	10	10	11	11	11	12	12	18
5	1	2	2	3	3	4	4	5	6	7	8	8	9	9	10	10	11	11	12	13	14	15	16	16	17	17	17	18	18	24
6	1	2	2	3	3	4	4	5	6	7	8	8	9	9	10	10	11	11	12	13	14	15	16	16	17	17	17	18	18	24
7	1	2	2	3	3	4	4	5	6	7	8	8	9	9	10	10	11	11	12	13	14	15	16	16	17	17	17	18	18	24
8	1	2	2	3	4	4	5	5	6	7	8	8	9	9	10	10	11	11	12	13	14	15	16	16	17	17	17	18	18	24
9	1	2	2	3	4	4	5	5	6	7	8	8	9	9	10	10	11	11	12	13	14	15	16	16	17	17	17	18	18	24
10	1	2	2	3	4	4	5	5	6	7	8	8	9	9	10	10	11	11	12	13	14	15	16	16	17	17	17	18	18	24
11	1	2	3	3	4	4	5	5	6	7	8	8	9	9	10	10	11	11	12	13	14	15	16	16	17	17	17	18	18	24
12	1	2	3	3	4	4	5	5	6	7	8	8	9	9	10	10	11	11	12	13	14	15	16	16	17	17	17	18	18	24
13	1	2	3	3	4	4	5	5	6	7	8	8	9	9	10	10	11	11	12	13	14	15	16	16	17	17	17	18	18	24
14	1	2	3	3	4	4	5	5	6	7	8	8	9	9	10	10	11	11	12	13	14	15	16	16	17	17	17	18	18	24
15	2	2	3	3	4	4	5	5	6	7	8	8	9	9	10	10	11	11	12	13	14	15	16	16	17	17	17	18	18	24
16	2	2	3	3	4	4	5	5	6	7	8	8	9	9	10	10	11	11	12	13	14	15	16	16	17	17	17	18	18	24
17	2	2	3	3	4	4	5	5	6	7	8	8	9	9	10	10	11	11	12	13	14	15	16	16	17	17	17	18	18	24
18	2	2	3	4	5	6	6	7	8	9	10	11	11	12	13	14	14	15	16	17	18	19	20	21	21	22	23	23	24	32
19	2	2	3	4	5	6	6	7	8	9	10	11	11	12	13	14	14	15	16	17	18	19	20	21	21	22	23	23	24	32
20	2	2	3	4	5	6	6	7	8	9	10	11	11	12	13	14	14	15	16	17	18	19	20	21	21	22	23	23	24	32
21	2	3	3	4	5	6	6	7	8	9	10	11	11	12	13	14	14	15	16	17	18	19	20	21	21	22	23	23	24	32
22	2	3	3	4	5	6	6	7	8	9	10	11	11	12	13	14	14	15	16	17	18	19	20	21	21	22	23	23	24	32
23	2	3	4	5	6	7	8	9	10	11	12	13	14	15	16	17	18	19	20	21	22	23	24	25	26	27	28	29	30	40
24	2	3	4	5	6	7	8	9	10	11	12	13	14	15	16	17	18	19	20	21	22	23	24	25	26	27	28	29	30	40

Base to Hit Tables

Direct Equivalent

Range	To Hit	Modifier
Short	4	0
Medium	9	5
Long	18	14

Shifted Values

Range	To Hit	Modifier
Short	4	0
Medium	10	6
Long	18	14

1d30

1d30
Roll	P equal to or	P less	P equal to or	P greater
( R )	less than R	than R	greater than R	than R
1	0.0333	0.0000	1.0000	0.9667
2	0.0667	0.0333	0.9667	0.9333
3	0.1000	0.0667	0.9333	0.9000
4	0.1333	0.1000	0.9000	0.8667
5	0.1667	0.1333	0.8667	0.8333
6	0.2000	0.1667	0.8333	0.8000
7	0.2333	0.2000	0.8000	0.7667
8	0.2667	0.2333	0.7667	0.7333
9	0.3000	0.2667	0.7333	0.7000
10	0.3333	0.3000	0.7000	0.6667
11	0.3667	0.3333	0.6667	0.6333
12	0.4000	0.3667	0.6333	0.6000
13	0.4333	0.4000	0.6000	0.5667
14	0.4667	0.4333	0.5667	0.5333
15	0.5000	0.4667	0.5333	0.5000
16	0.5333	0.5000	0.5000	0.4667
17	0.5667	0.5333	0.4667	0.4333
18	0.6000	0.5667	0.4333	0.4000
19	0.6333	0.6000	0.4000	0.3667
20	0.6667	0.6333	0.3667	0.3333
21	0.7000	0.6667	0.3333	0.3000
22	0.7333	0.7000	0.3000	0.2667
23	0.7667	0.7333	0.2667	0.2333
24	0.8000	0.7667	0.2333	0.2000
25	0.8333	0.8000	0.2000	0.1667
26	0.8667	0.8333	0.1667	0.1333
27	0.9000	0.8667	0.1333	0.1000
28	0.9333	0.9000	0.1000	0.0667
29	0.9667	0.9333	0.0667	0.0333
30	1.0000	0.9667	0.0333	0.0000

1d30
Roll	Raw 2d6	Adjusted	Wildcard
( R )	Equivalent	2d6 Eq.	2d6 Eq.
1	2	2	3
2	3	3	3
3	3	3	4
4	4	4	4
5	4	4	4
6	5	5	5
7	5	5	5
8	5	5	5
9	6	6	6
10	6	6	6
11	6	6	6
12	6	6	6
13	6	7	7
14	7	7	7
15	7	7	7
16	7	7	7
17	7	7	7
18	8	7	8
19	8	8	8
20	8	8	8
21	8	8	8
22	8	8	9
23	9	9	9
24	9	9	9
25	9	9	10
26	10	10	10
27	10	10	10
28	11	11	11
29	11	11	11
30	12	12	2 or 12

1d100

1d100	Raw 2d6
Equivalent
2	1 - 3
3	4 - 8
4	9 - 17
5	18 - 28
6	29 - 42
7	43 - 58
8	59 - 72
9	73 - 83
10	84 - 92
11	93 - 97
12	98 - 100