Concentration Check ((WIP))

	A	B	C	D	E	F	G	H	I	J	K	L	M	N	O	P	Q	R	S	T	U	Z	AA	AB	AC	AD	AE	AF	AG	AH	AJ
1	Hand Calculation																												Visualizing Probability Concept
2				Concentration Checks			Assume Wizard has 47 Ranks = 33 (base rank) + 9 (con mod) + 5 (staff), casting difficulty lvl 9 spells																						For 50/50 on dice rolls
3	Failure Chance			Unmitigated		Failure Chance			Mitigated		Repeater		x2				Longbow		x3	2d10 Massive Crit									Concentration		Damage
4	XBow	LBow	Roll	XBow	LBow	XBow	LBow	Roll	XBow	LBow	Total	Phys	Enrgy	Elemental		Total	Phys	Enrgy	Elemental		Concentration Parameter	DR Calculation								46	46
5	0.00%	0.00%	1	0	0	0.00%	0.00%	1	0	0	24~48	21~40	3~3	0~5		23~45	20~37	3~3	0~5		19	1d10 Fire Reduced by 5								47	47
6	42.00%	36.96%	2	43~67	42~64	0.00%	0.00%	2	0~37	0~34	w/ Conc	1d10	3Magic	1d10 Fire		w/ Conc	1d8	3 Magic	1d10 Fire		10	-4								48	48
7	42.00%	36.96%	3	43~67	42~64	0.00%	0.00%	3	0~37	0~34	43~67	13gmw/dmsk/FE		(0~2.5 DR'd)		42~64	13gmw/dmsk/FE		(0~2.5 DR'd)		9	-3		2d10 Fire Reduced by 5						49	49
8	42.00%	36.96%	4	43~67	42~64	0.00%	0.00%	4	0~37	0~34	Miti&Con	2d6 Bane		1d10 Cold		Miti&Con	2d6 Bane		1d10 Cold			-2		-3	-2	-1	0	1		50	50
9	42.00%	36.96%	5	43~67	42~64	0.00%	0.00%	5	0~37	0~34	0~37	5 Mighty		(0~2.5 DR'd)		0~34	4 Mighty		(0~2.5 DR'd)			-1		2	3	4	5	6		51	51
10	42.00%	36.96%	6	43~67	42~64	0.00%	0.00%	6	0~37	0~34	Crit	37~99	Mitigated	50%		Crit	60~174	Mitigated	50%			0		7	8	9	10	11		52	52
11	42.00%	36.96%	7	43~67	42~64	0.00%	0.00%	7	0~37	0~34	48~110	42~80	6~6	0~24		69~165	60~111	9~9	0~45			1		12	13	14	15			53	53
12	42.00%	36.96%	8	43~67	42~64	0.00%	0.00%	8	0~37	0~34	w/ Conc	2d10	6Magic	2d10 Fire		M. Crit.	3d8	9Magic	3d10 Fire			2		15/19 Sides		78.95%				54	54
13	42.00%	36.96%	9	43~67	42~64	0.00%	0.00%	9	0~37	0~34	67~129	26gmw/dmsk/FE		(0~11.842 DR'd)		71~185	39gmw/dmsk/FE		(0~22.321 DR'd)			3			0 ~	11.84210526				55	55
14	42.00%	36.96%	10	43~67	42~64	0.00%	0.00%	10	0~37	0~34		4d6 Bane		2d10 Cold		w/ Conc	6d6 damask		3d10 Cold			4								56	56
15	42.00%	36.96%	11	43~67	42~64	0.00%	0.00%	11	0~37	0~34		10 Mighty		(0~11.842 DR'd)		90~204	12 Mighty		(0~22.321 DR'd)			5	5/10 Sides, 50%		0~2.5					57	57
16	42.00%	36.96%	12	43~67	42~64	0.00%	0.00%	12	0~37	0~34												Green Highlight contributes to breaking concentration								58	58
17	42.00%	36.96%	13	43~67	42~64	0.00%	0.00%	13	0~37	0~34		Not Mitigated		Conc vs 47+1d20			48~67													59	59
18	42.00%	36.96%	14	43~67	42~64	0.00%	0.00%	14	0~37	0~34	Crit	XBow	DNE	DNE	67~129															60	60
19	42.00%	36.96%	15	43~67	42~64	0.00%	0.00%	15	0~37	0~34			0 Side	0 Side	Side															61	61
20	42.00%	36.96%	16	43~67	42~64	0.00%	0.00%	16	0~37	0~34			100%	chance of interruption in crits																62	62
21	100.00%	36.96%	17	67~129	42~64	68.25%	0.00%	17	37~99	0~34		LBow	DNE	DNE	90~204															63	63
22	100.00%	36.96%	18	67~129	42~64	68.25%	0.00%	18	37~99	0~34			0 Sides	0 Sides	Sides															64	64
23	100.00%	100.00%	19	67~129	90~204	68.25%	94.07%	19	37~99	60~174			100.00%	chance of interruption in crits																65	65
24	100.00%	100.00%	20	67~129	90~204	68.25%	94.07%	20	37~99	60~174		Mitigated with Premo																		66	66
25	51.50%	41.41%	Chance of Interruption			13.65%	9.41%	Note: It's important to remember that when damage is mitigated to 0 or below, it will not proc a concentration check. But the lower sides of the dice will still dilute the possibilities of getting the higher results.				XBow	37~46	47~66	67~99		10/63 Sides have 0% chance of Interruption, 20/63 Sides are 50/50, 33/63 sides are 100%													67	67
26	XBow	25	sides										10 Sides	20 Sides	33 Sides		63	Sides Total												68	68
27		20 out of 25 sides will result in interruption											68.25%	chance of interruption in crits															The highlighted parts are the uncertain duels in between damage and concentration rolls, where it will be 50/50
28		42.00%	chance of interruption									LBow	DNE	60~66	67~174		108/115 Sides are 100%, 7/115 Sides need further calculation
29	LBow	23	sides										0 Sides	7 Sides	108 Sides		115	Sides Total
30		17 out of 23 sides will result in interruption											0.9406521739	chance of interruption in crits						On a 60 Conc roll, a minimum of 60 damage defeats the check. 61~67 (7 sides) out of 20 roll is possible to make the concentration check
31		36.96%	chance of interruption																	Thus results would be 7 divided by 20 divided by 115
32