Protection II

Leather Helmet
Iron Helmet
Diamond Helmet
Gold Helmet
Leather Armor
Iron Armor
Diamond Armor
Gold Armor
Leather Boots
Iron Boots
Diamond Boots
Gold Boots

Summary

XP Cost

Local Minima

Item	Material	Level	Prob.	XP Cost	Item Cost
Armor	Gold	1	14.7%	47.5	6.8
Helmet	Gold	1	12.9%	54.2	7.7
Boots	Gold	1	12.6%	55.6	7.9
Armor	Leather	9	24.4%	766.4	4.1
Helmet	Leather	9	21.4%	874.5	4.7
Boots	Leather	9	20.8%	897.3	4.8
Armor	Diamond	13	35.3%	1023.2	2.8
Armor	Iron	14	36.6%	1129.1	2.7
Armor	Leather	1	0.6%	1139.1	162.7
Helmet	Diamond	13	30.9%	1166.8	3.2
Boots	Diamond	13	30.2%	1196.9	3.3
Helmet	Iron	14	32.1%	1288.0	3.1
Helmet	Leather	1	0.5%	1305.1	186.4
Boots	Iron	14	31.3%	1321.5	3.2
Boots	Leather	1	0.5%	1340.9	191.6

Other good values

Item	Material	Level	Prob.	XP Cost	Item Cost
Armor	Gold	2	17.6%	96.6	5.7
Helmet	Gold	2	15.5%	110.0	6.5
Boots	Gold	2	15.1%	112.8	6.6

Item Cost

Local Minima

Item	Material	Level	Prob.	XP Cost	Item Cost
Armor	Iron	19	45.2%	1609.9	2.2
Armor	Diamond	18	44.8%	1467.6	2.2
Armor	Leather	16	43.4%	1217.0	2.3
Helmet	Iron	19	39.9%	1824.2	2.5
Helmet	Diamond	18	39.5%	1663.0	2.5
Boots	Iron	19	38.9%	1867.6	2.6
Boots	Diamond	18	38.6%	1702.6	2.6
Helmet	Leather	16	38.3%	1379.1	2.6
Boots	Leather	16	37.4%	1411.9	2.7
Armor	Gold	12	37.0%	842.1	2.7
Helmet	Gold	12	32.7%	953.4	3.1
Boots	Gold	12	32.0%	975.9	3.1

Other good values

Item	Material	Level	Prob.	XP Cost	Item Cost
Armor	Iron	18	45.0%	1460.0	2.2
Armor	Iron	20	44.9%	1783.0	2.2
Armor	Diamond	17	44.5%	1326.8	2.2

Leather Helmet

Item Cost

Local Minima

Level	Prob.	XP Cost	Item Cost
16	38.3%	1379.1	2.6

Other good values

Level	Prob.	XP Cost	Item Cost
17	38.1%	1552.5	2.6
15	37.8%	1239.3	2.6
18	37.3%	1763.7	2.7

XP Cost

Local Minima

Level	Prob.	XP Cost	Item Cost
9	21.4%	874.5	4.7
1	0.5%	1305.1	186.4

Other good values

Level	Prob.	XP Cost	Item Cost
8	17.3%	881.0	5.8
10	25.4%	886.4	3.9
7	13.3%	911.4	7.5

Iron Helmet

Item Cost

Local Minima

Level	Prob.	XP Cost	Item Cost
19	39.9%	1824.2	2.5

Other good values

Level	Prob.	XP Cost	Item Cost
20	39.7%	2017.3	2.5
18	39.7%	1656.8	2.5
21	39.0%	2247.2	2.6

XP Cost

Local Minima

Level	Prob.	XP Cost	Item Cost
14	32.1%	1288.0	3.1

Other good values

Level	Prob.	XP Cost	Item Cost
13	27.5%	1312.1	3.6
15	35.5%	1322.6	2.8
16	37.7%	1400.5	2.7

Diamond Helmet

Item Cost

Local Minima

Level	Prob.	XP Cost	Item Cost
18	39.5%	1663.0	2.5

Other good values

Level	Prob.	XP Cost	Item Cost
19	39.3%	1851.7	2.5
17	39.3%	1505.5	2.5
20	38.5%	2076.6	2.6

XP Cost

Local Minima

Level	Prob.	XP Cost	Item Cost
13	30.9%	1166.8	3.2

Other good values

Level	Prob.	XP Cost	Item Cost
12	26.7%	1170.1	3.8
14	34.4%	1201.7	2.9
11	21.8%	1225.7	4.6

Gold Helmet

Item Cost

Local Minima

Level	Prob.	XP Cost	Item Cost
12	32.7%	953.4	3.1

Other good values

Level	Prob.	XP Cost	Item Cost
11	32.6%	818.4	3.1
13	32.4%	1115.2	3.1
10	32.1%	701.4	3.1

XP Cost

Local Minima

Level	Prob.	XP Cost	Item Cost
1	12.9%	54.2	7.7

Other good values

Level	Prob.	XP Cost	Item Cost
2	15.5%	110.0	6.5
3	18.1%	171.0	5.5
4	20.8%	230.4	4.8

Leather Armor

Item Cost

Local Minima

Level	Prob.	XP Cost	Item Cost
16	43.4%	1217.0	2.3

Other good values

Level	Prob.	XP Cost	Item Cost
17	43.1%	1371.7	2.3
15	42.9%	1092.3	2.3
18	42.1%	1560.1	2.4

XP Cost

Local Minima

Level	Prob.	XP Cost	Item Cost
9	24.4%	766.4	4.1
1	0.6%	1139.1	162.7

Other good values

Level	Prob.	XP Cost	Item Cost
8	19.7%	771.6	5.1
10	28.9%	777.4	3.5
7	15.2%	797.8	6.6

Iron Armor

Item Cost

Local Minima

Level	Prob.	XP Cost	Item Cost
19	45.2%	1609.9	2.2

Other good values

Level	Prob.	XP Cost	Item Cost
18	45.0%	1460.0	2.2
20	44.9%	1783.0	2.2
17	44.3%	1333.4	2.3

XP Cost

Local Minima

Level	Prob.	XP Cost	Item Cost
14	36.6%	1129.1	2.7

Other good values

Level	Prob.	XP Cost	Item Cost
13	31.4%	1149.2	3.2
15	40.4%	1160.7	2.5
16	42.9%	1230.6	2.3

Diamond Armor

Item Cost

Local Minima

Level	Prob.	XP Cost	Item Cost
18	44.8%	1467.6	2.2

Other good values

Level	Prob.	XP Cost	Item Cost
17	44.5%	1326.8	2.2
19	44.4%	1636.5	2.3
16	43.7%	1209.2	2.3

XP Cost

Local Minima

Level	Prob.	XP Cost	Item Cost
13	35.3%	1023.2	2.8

Other good values

Level	Prob.	XP Cost	Item Cost
12	30.4%	1025.3	3.3
14	39.2%	1054.9	2.6
11	24.9%	1073.1	4.0

Gold Armor

Item Cost

Local Minima

Level	Prob.	XP Cost	Item Cost
12	37.0%	842.1	2.7

Other good values

Level	Prob.	XP Cost	Item Cost
11	37.0%	722.4	2.7
13	36.6%	985.7	2.7
10	36.4%	618.6	2.7

XP Cost

Local Minima

Level	Prob.	XP Cost	Item Cost
1	14.7%	47.5	6.8

Other good values

Level	Prob.	XP Cost	Item Cost
2	17.6%	96.6	5.7
3	20.6%	150.1	4.8
4	23.7%	202.4	4.2

Leather Boots

Item Cost

Local Minima

Level	Prob.	XP Cost	Item Cost
16	37.4%	1411.9	2.7

Other good values

Level	Prob.	XP Cost	Item Cost
17	37.2%	1588.9	2.7
15	36.9%	1269.3	2.7
18	36.4%	1804.4	2.7

XP Cost

Local Minima

Level	Prob.	XP Cost	Item Cost
9	20.8%	897.3	4.8
1	0.5%	1340.9	191.6

Other good values

Level	Prob.	XP Cost	Item Cost
8	16.8%	904.1	5.9
10	24.7%	909.3	4.0
7	12.9%	935.6	7.7

Iron Boots

Item Cost

Local Minima

Level	Prob.	XP Cost	Item Cost
19	38.9%	1867.6	2.6

Other good values

Level	Prob.	XP Cost	Item Cost
20	38.8%	2064.4	2.6
18	38.7%	1697.1	2.6
21	38.2%	2298.7	2.6

XP Cost

Local Minima

Level	Prob.	XP Cost	Item Cost
14	31.3%	1321.5	3.2

Other good values

Level	Prob.	XP Cost	Item Cost
13	26.8%	1346.6	3.7
15	34.6%	1356.5	2.9
16	36.8%	1435.8	2.7

Diamond Boots

Item Cost

Local Minima

Level	Prob.	XP Cost	Item Cost
18	38.6%	1702.6	2.6

Other good values

Level	Prob.	XP Cost	Item Cost
19	38.4%	1895.0	2.6
17	38.3%	1542.1	2.6
20	37.7%	2124.2	2.7

XP Cost

Local Minima

Level	Prob.	XP Cost	Item Cost
13	30.2%	1196.9	3.3

Other good values

Level	Prob.	XP Cost	Item Cost
12	26.0%	1200.7	3.8
14	33.5%	1232.3	3.0
11	21.2%	1258.0	4.7

Gold Boots

Item Cost

Local Minima

Level	Prob.	XP Cost	Item Cost
12	32.0%	975.9	3.1

Other good values

Level	Prob.	XP Cost	Item Cost
11	31.9%	837.9	3.1
13	31.6%	1141.2	3.2
10	31.3%	718.2	3.2

XP Cost

Local Minima

Level	Prob.	XP Cost	Item Cost
1	12.6%	55.6	7.9

Other good values

Level	Prob.	XP Cost	Item Cost
2	15.1%	112.8	6.6
3	17.7%	175.3	5.7
4	20.3%	236.2	4.9