Tipps/Tricks:Die letzten Blätter des Larafs

Das Spielprinzip von Die letzten Blätter des Larafs ist folgendes:
2 Spieler spielen gegeneinander um eine vorher festgelegte Geldsumme über 0.
Gegeben ist ein Ast mit einer bestimmten Anzahl von Blättern (genaue Mindestzahttp:nicht bekannt, sollte aber über 15 sein).
Beide Spieler reißen abwechselnd 1 bis 6 Blätter von dem Ast ab.
Ziel des Spieles ist es den Gegner dazu zu zwingen das letzte Blatt abzureißen.
Ein fünfseitiger Würfel hilft eine zufällige Zahl zwischen 1 und 5 zu finden.
Der Spieler muss mindestens ein von dem Ast abreißen und darf maximal soviele Blätter abreißen, wie der Würfelwurf ergibt.
Einmal im Spiel kann er auch einen Joker einsetzen und 6 Blätter abreißen.
Wenn man das letzte Blatt abreißt hat man verloren und der Gegner gewinnt das Geld.

Ich gehe jetzt das Spiel durch.
Hinweis, die Tabellen liest man folgendermaßen:
BZ=Blätterzahl=Die Anzahl der Blätter, die noch am Ast hängen.
RZ=Rupfzahl=Die Anzahl der Blätter, die man am besten amrupfen sollte.
GW=Gewinnwahrscheinlichkeit=Die Wahrscheinlichkeit, dass der Spieler der dran ist bei gegebener Blätterzahl gewinnt.
Zahl =Wahrscheinlichkeit, dass der Spieler mit folgender Zahl gewinnt.
Anmerkung:
- Alle Zahlen sind auf 0,01% gerundet.
- Die Wahrscheinlichkeiten gehen davon aus, dass beide Spieler die bestmöglichen Züge machen.

Tabelle 1:
Kein Spieler hat seinen Joker bisher benutzt:

BZ	RZ	1	2	3	4	5	6	GW
1	5	0,00%	0,00%	0,00%	0,00%	0,00%	0,00%	0,00%
2	1	100,00%	0,00%	0,00%	0,00%	0,00%	0,00%	100,00%
3	2	0,00%	100,00%	0,00%	0,00%	0,00%	0,00%	80,00%
4	3	20,00%	0,00%	100,00%	0,00%	0,00%	0,00%	68,00%
5	4	32,00%	20,00%	0,00%	100,00%	0,00%	0,00%	59,20%
6	5	40,80%	32,00%	20,00%	0,00%	100,00%	0,00%	52,64%
7	6	47,36%	40,80%	32,00%	20,00%	0,00%	100,00%	100,00%
8	2	0,00%	47,36%	40,80%	32,00%	20,00%	0,00%	37,89%
9	1	62,11%	0,00%	47,36%	40,80%	32,00%	20,00%	62,11%
10	2	37,89%	62,11%	0,00%	47,36%	40,80%	32,00%	57,27%
11	3	42,73%	37,89%	62,11%	0,00%	47,36%	40,80%	54,36%
12	4	45,64%	42,73%	37,89%	62,11%	0,00%	47,36%	53,26%
13	5	46,74%	45,64%	42,73%	37,89%	62,11%	0,00%	49,81%
14	1	50,19%	46,74%	45,64%	42,73%	37,89%	47,36%	50,19%
15	2	49,81%	50,19%	46,74%	45,64%	42,73%	37,89%	50,11%
16	3	49,89%	49,81%	50,19%	46,74%	45,64%	39,78%	50,07%
17	4	49,93%	49,89%	49,81%	50,19%	46,74%	40,92%	50,03%
18	5	49,97%	49,93%	49,89%	49,81%	50,19%	41,75%	50,01%
19	1	49,99%	49,97%	49,93%	49,89%	49,81%	42,37%	49,99%
20	1	50,01%	49,99%	49,97%	49,93%	49,89%	42,87%	50,01%
21	2	49,99%	50,01%	49,99%	49,97%	49,93%	42,37%	50,01%
22	3	49,99%	49,99%	50,01%	49,99%	49,97%	42,47%	50,00%
23	4	50,00%	49,99%	49,99%	50,01%	49,99%	42,53%	50,00%
24	5	50,00%	50,00%	49,99%	49,99%	50,01%	42,58%	50,00%
25	1	50,00%	50,00%	50,00%	49,99%	49,99%	42,61%	50,00%
26	1	50,00%	50,00%	50,00%	50,00%	49,99%	42,64%	50,00%
27	2	50,00%	50,00%	50,00%	50,00%	50,00%	42,61%	50,00%
28	3	50,00%	50,00%	50,00%	50,00%	50,00%	42,62%	50,00%
29	4	50,00%	50,00%	50,00%	50,00%	50,00%	42,62%	50,00%
30	5	50,00%	50,00%	50,00%	50,00%	50,00%	42,62%	50,00%
31	1	50,00%	50,00%	50,00%	50,00%	50,00%	42,62%	50,00%
32	1	50,00%	50,00%	50,00%	50,00%	50,00%	42,62%	50,00%
33	2	50,00%	50,00%	50,00%	50,00%	50,00%	42,62%	50,00%
34	3	50,00%	50,00%	50,00%	50,00%	50,00%	42,62%	50,00%
35	4	50,00%	50,00%	50,00%	50,00%	50,00%	42,62%	50,00%
36	5	50,00%	50,00%	50,00%	50,00%	50,00%	42,62%	50,00%
37	1	50,00%	50,00%	50,00%	50,00%	50,00%	42,62%	50,00%
38	1	50,00%	50,00%	50,00%	50,00%	50,00%	42,62%	50,00%
39	2	50,00%	50,00%	50,00%	50,00%	50,00%	42,62%	50,00%
40	3	50,00%	50,00%	50,00%	50,00%	50,00%	42,62%	50,00%
41	4	50,00%	50,00%	50,00%	50,00%	50,00%	42,62%	50,00%
42	5	50,00%	50,00%	50,00%	50,00%	50,00%	42,62%	50,00%
43	1	50,00%	50,00%	50,00%	50,00%	50,00%	42,62%	50,00%
44	1	50,00%	50,00%	50,00%	50,00%	50,00%	42,62%	50,00%
45	2	50,00%	50,00%	50,00%	50,00%	50,00%	42,62%	50,00%

Tabelle 2:
Der Gegnerische Spieler hat seinen Joker schon verbraucht
Der andere Spieler hat seinen Joker noch

BZ	RZ	1	2	3	4	5	6	GW
1	5	0,00%	0,00%	0,00%	0,00%	0,00%	0,00%	0,00%
2	1	100,00%	0,00%	0,00%	0,00%	0,00%	0,00%	100,00%
3	2	0,00%	100,00%	0,00%	0,00%	0,00%	0,00%	80,00%
4	3	20,00%	0,00%	100,00%	0,00%	0,00%	0,00%	68,00%
5	4	32,00%	20,00%	0,00%	100,00%	0,00%	0,00%	59,20%
6	5	40,80%	32,00%	20,00%	0,00%	100,00%	0,00%	52,64%
7	6	47,36%	40,80%	32,00%	20,00%	0,00%	100,00%	100,00%
8	1	52,64%	47,36%	40,80%	32,00%	20,00%	0,00%	52,64%
9	1	62,11%	52,64%	47,36%	40,80%	32,00%	20,00%	62,11%
10	2	52,64%	62,11%	52,64%	47,36%	40,80%	32,00%	60,22%
11	3	54,53%	52,64%	62,11%	52,64%	47,36%	40,80%	59,08%
12	4	55,67%	54,53%	52,64%	62,11%	52,64%	47,36%	58,25%
13	5	56,50%	55,67%	54,53%	52,64%	62,11%	52,64%	57,63%
14	1	57,13%	56,50%	55,67%	54,53%	52,64%	47,36%	57,13%
15	1	57,63%	57,13%	56,50%	55,67%	54,53%	48,42%	57,63%
16	2	57,13%	57,63%	57,13%	56,50%	55,67%	49,05%	57,53%
17	3	57,23%	57,13%	57,63%	57,13%	56,50%	49,51%	57,47%
18	4	57,29%	57,23%	57,13%	57,63%	57,13%	49,86%	57,42%
19	5	57,33%	57,29%	57,23%	57,13%	57,63%	50,14%	57,39%
20	1	57,36%	57,33%	57,29%	57,23%	57,13%	49,86%	57,36%
21	1	57,39%	57,36%	57,33%	57,29%	57,23%	49,92%	57,39%
22	2	57,36%	57,39%	57,36%	57,33%	57,29%	49,95%	57,38%
23	3	57,37%	57,36%	57,39%	57,36%	57,33%	49,97%	57,38%
24	4	57,37%	57,37%	57,36%	57,39%	57,36%	49,99%	57,38%
25	5	57,37%	57,37%	57,37%	57,36%	57,39%	50,01%	57,38%
26	1	57,38%	57,37%	57,37%	57,37%	57,36%	49,99%	57,38%
27	1	57,38%	57,38%	57,37%	57,37%	57,37%	50,00%	57,38%
28	2	57,38%	57,38%	57,38%	57,37%	57,37%	50,00%	57,38%
29	3	57,38%	57,38%	57,38%	57,38%	57,37%	50,00%	57,38%
30	4	57,38%	57,38%	57,38%	57,38%	57,38%	50,00%	57,38%
31	5	57,38%	57,38%	57,38%	57,38%	57,38%	50,00%	57,38%
32	1	57,38%	57,38%	57,38%	57,38%	57,38%	50,00%	57,38%
33	1	57,38%	57,38%	57,38%	57,38%	57,38%	50,00%	57,38%
34	2	57,38%	57,38%	57,38%	57,38%	57,38%	50,00%	57,38%
35	3	57,38%	57,38%	57,38%	57,38%	57,38%	50,00%	57,38%
36	4	57,38%	57,38%	57,38%	57,38%	57,38%	50,00%	57,38%
37	5	57,38%	57,38%	57,38%	57,38%	57,38%	50,00%	57,38%
38	1	57,38%	57,38%	57,38%	57,38%	57,38%	50,00%	57,38%
39	1	57,38%	57,38%	57,38%	57,38%	57,38%	50,00%	57,38%
40	2	57,38%	57,38%	57,38%	57,38%	57,38%	50,00%	57,38%
41	3	57,38%	57,38%	57,38%	57,38%	57,38%	50,00%	57,38%
42	4	57,38%	57,38%	57,38%	57,38%	57,38%	50,00%	57,38%
43	5	57,38%	57,38%	57,38%	57,38%	57,38%	50,00%	57,38%
44	1	57,38%	57,38%	57,38%	57,38%	57,38%	50,00%	57,38%
45	1	57,38%	57,38%	57,38%	57,38%	57,38%	50,00%	57,38%

Tabelle 3:
Beide Spieler haben ihre Joker schon verbraucht

BZ	RZ	1	2	3	4	5	GW
1	5	0,00%	0,00%	0,00%	0,00%	0,00%	0,00%
2	1	100,00%	0,00%	0,00%	0,00%	0,00%	100,00%
3	2	0,00%	100,00%	0,00%	0,00%	0,00%	80,00%
4	3	20,00%	0,00%	100,00%	0,00%	0,00%	68,00%
5	4	32,00%	20,00%	0,00%	100,00%	0,00%	59,20%
6	5	40,80%	32,00%	20,00%	0,00%	100,00%	52,64%
7	1	47,36%	40,80%	32,00%	20,00%	0,00%	47,36%
8	1	52,64%	47,36%	40,80%	32,00%	20,00%	52,64%
9	2	47,36%	52,64%	47,36%	40,80%	32,00%	51,58%
10	3	48,42%	47,36%	52,64%	47,36%	40,80%	50,95%
11	4	49,05%	48,42%	47,36%	52,64%	47,36%	50,49%
12	5	49,51%	49,05%	48,42%	47,36%	52,64%	50,14%
13	1	49,86%	49,51%	49,05%	48,42%	47,36%	49,86%
14	1	50,14%	49,86%	49,51%	49,05%	48,42%	50,14%
15	2	49,86%	50,14%	49,86%	49,51%	49,05%	50,08%
16	3	49,92%	49,86%	50,14%	49,86%	49,51%	50,05%
17	4	49,95%	49,92%	49,86%	50,14%	49,86%	50,03%
18	5	49,97%	49,95%	49,92%	49,86%	50,14%	50,01%
19	1	49,99%	49,97%	49,95%	49,92%	49,86%	49,99%
20	1	50,01%	49,99%	49,97%	49,95%	49,92%	50,01%
21	2	49,99%	50,01%	49,99%	49,97%	49,95%	50,00%
22	3	50,00%	49,99%	50,01%	49,99%	49,97%	50,00%
23	4	50,00%	50,00%	49,99%	50,01%	49,99%	50,00%
24	5	50,00%	50,00%	50,00%	49,99%	50,01%	50,00%
25	1	50,00%	50,00%	50,00%	50,00%	49,99%	50,00%
26	1	50,00%	50,00%	50,00%	50,00%	50,00%	50,00%
27	2	50,00%	50,00%	50,00%	50,00%	50,00%	50,00%
28	3	50,00%	50,00%	50,00%	50,00%	50,00%	50,00%
29	4	50,00%	50,00%	50,00%	50,00%	50,00%	50,00%
30	5	50,00%	50,00%	50,00%	50,00%	50,00%	50,00%
31	1	50,00%	50,00%	50,00%	50,00%	50,00%	50,00%
32	1	50,00%	50,00%	50,00%	50,00%	50,00%	50,00%
33	2	50,00%	50,00%	50,00%	50,00%	50,00%	50,00%
34	3	50,00%	50,00%	50,00%	50,00%	50,00%	50,00%
35	4	50,00%	50,00%	50,00%	50,00%	50,00%	50,00%
36	5	50,00%	50,00%	50,00%	50,00%	50,00%	50,00%
37	1	50,00%	50,00%	50,00%	50,00%	50,00%	50,00%
38	1	50,00%	50,00%	50,00%	50,00%	50,00%	50,00%
39	2	50,00%	50,00%	50,00%	50,00%	50,00%	50,00%
40	3	50,00%	50,00%	50,00%	50,00%	50,00%	50,00%
41	4	50,00%	50,00%	50,00%	50,00%	50,00%	50,00%
42	5	50,00%	50,00%	50,00%	50,00%	50,00%	50,00%
43	1	50,00%	50,00%	50,00%	50,00%	50,00%	50,00%
44	1	50,00%	50,00%	50,00%	50,00%	50,00%	50,00%
45	2	50,00%	50,00%	50,00%	50,00%	50,00%	50,00%

Tabelle 2:
Der Gegnerische Spieler hat seinen Joker schon verbraucht
Der andere Spieler hat seinen Joker noch

Anmerkung:
Diese Situation ist äußerst selten.

BZ	RZ	1	2	3	4	5	GW
1	5	0,00%	0,00%	0,00%	0,00%	0,00%	0,00%
2	1	100,00%	0,00%	0,00%	0,00%	0,00%	100,00%
3	2	0,00%	100,00%	0,00%	0,00%	0,00%	80,00%
4	3	20,00%	0,00%	100,00%	0,00%	0,00%	68,00%
5	4	32,00%	20,00%	0,00%	100,00%	0,00%	59,20%
6	5	40,80%	32,00%	20,00%	0,00%	100,00%	52,64%
7	1	47,36%	40,80%	32,00%	20,00%	0,00%	47,36%
8	2	0,00%	47,36%	40,80%	32,00%	20,00%	37,89%
9	3	47,36%	0,00%	47,36%	40,80%	32,00%	47,36%
10	4	37,89%	47,36%	0,00%	47,36%	40,80%	45,47%
11	5	39,78%	37,89%	47,36%	0,00%	47,36%	44,33%
12	4	40,92%	39,78%	37,89%	47,36%	0,00%	43,50%
13	5	41,75%	40,92%	39,78%	37,89%	47,36%	42,87%
14	1	42,37%	41,75%	40,92%	39,78%	37,89%	42,37%
15	1	42,87%	42,37%	41,75%	40,92%	39,78%	42,87%
16	2	42,37%	42,87%	42,37%	41,75%	40,92%	42,77%
17	3	42,47%	42,37%	42,87%	42,37%	41,75%	42,71%
18	4	42,53%	42,47%	42,37%	42,87%	42,37%	42,67%
19	5	42,58%	42,53%	42,47%	42,37%	42,87%	42,64%
20	1	42,61%	42,58%	42,53%	42,47%	42,37%	42,61%
21	1	42,64%	42,61%	42,58%	42,53%	42,47%	42,64%
22	2	42,61%	42,64%	42,61%	42,58%	42,53%	42,63%
23	3	42,62%	42,61%	42,64%	42,61%	42,58%	42,63%
24	4	42,62%	42,62%	42,61%	42,64%	42,61%	42,63%
25	5	42,62%	42,62%	42,62%	42,61%	42,64%	42,62%
26	1	42,62%	42,62%	42,62%	42,62%	42,61%	42,62%
27	1	42,62%	42,62%	42,62%	42,62%	42,62%	42,62%
28	2	42,62%	42,62%	42,62%	42,62%	42,62%	42,62%
29	3	42,62%	42,62%	42,62%	42,62%	42,62%	42,62%
30	4	42,62%	42,62%	42,62%	42,62%	42,62%	42,62%
31	5	42,62%	42,62%	42,62%	42,62%	42,62%	42,62%
32	1	42,62%	42,62%	42,62%	42,62%	42,62%	42,62%
33	1	42,62%	42,62%	42,62%	42,62%	42,62%	42,62%
34	2	42,62%	42,62%	42,62%	42,62%	42,62%	42,62%
35	3	42,62%	42,62%	42,62%	42,62%	42,62%	42,62%
36	4	42,62%	42,62%	42,62%	42,62%	42,62%	42,62%
37	5	42,62%	42,62%	42,62%	42,62%	42,62%	42,62%
38	1	42,62%	42,62%	42,62%	42,62%	42,62%	42,62%
39	1	42,62%	42,62%	42,62%	42,62%	42,62%	42,62%
40	2	42,62%	42,62%	42,62%	42,62%	42,62%	42,62%
41	3	42,62%	42,62%	42,62%	42,62%	42,62%	42,62%
42	4	42,62%	42,62%	42,62%	42,62%	42,62%	42,62%
43	5	42,62%	42,62%	42,62%	42,62%	42,62%	42,62%
44	1	42,62%	42,62%	42,62%	42,62%	42,62%	42,62%
45	1	42,62%	42,62%	42,62%	42,62%	42,62%	42,62%