[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"term-betting-bankroll-management-de":3,"related-bankroll-management-de":49,"mdc--hakyq8-key":69},{"id":4,"slug":5,"status":6,"section":7,"category":8,"difficulty":9,"aliases":10,"related_terms":16,"related_calculators":22,"term":25,"definition":26,"content":27,"example":28,"faq":29,"availableLocales":42},"fa149e0a-7dd6-4611-a977-079611f93655","bankroll-management","published","betting","strategies","intermediate",[11,12,13,14,15],"money management","stake sizing","bet sizing","BRM","bankroll strategy",[17,18,19,20,21],"kelly-criterion","variance","risk-of-ruin","roi","expected-value",[23,24,24],"\u002Fbetting\u002Fkelly-calculator","\u002Fbetting\u002Fbankroll-growth-calculator","Bankroll-Management","Bankroll Management ist der systematische Ansatz zur Bestimmung der Einsatzhöhe und zum Schutz des Wettkapitals, um Varianz zu überstehen und langfristiges Wachstum zu maximieren. Es legt fest, wie viel bei jeder Wette eingesetzt werden soll, basierend auf Vorteil, Quoten und Risikobereitschaft. Ohne angemessenes Bankroll Management droht selbst profitablen Wettern der Ruin – eine Verluststrähne von 10 Wetten mit 10% Einsatz zerstört 65% des Kapitals. Eine angemessene Einsatzstrategie sichert das Überleben in unvermeidlichen Abwärtsphasen.","# Bankroll Management\n\n**Bankroll Management** unterscheidet Profis von Amateuren. Ihr Vorteil ist wertlos, wenn Sie bankrott gehen, bevor er sich materialisiert. Ein Wetter mit einem 5% Vorteil, der 20% pro Wette setzt, hat eine 90%ige Chance auf Ruin. Derselbe Wetter mit 2% Einsatz hat eine 0,1%ige Ruinwahrscheinlichkeit. Die Mathematik ist klar: Die Einsatzhöhe bestimmt das Überleben. Jeder erfolgreiche Wetter behandelt das Bankroll Management als nicht verhandelbar – es ist das Fundament, das alles andere ermöglicht.\n\n## Inhaltsverzeichnis\n\n- [Warum Bankroll Management wichtig ist](#warum-es-wichtig-ist)\n- [Einsatzmethoden](#einsatzmethoden)\n- [Kelly Kriterium im Detail](#kelly)\n- [Ruin Risiko](#ruin-risiko)\n- [Bankroll Größe](#groesse)\n- [Fortgeschrittene Strategien](#fortgeschritten)\n- [Häufige Fehler](#fehler)\n\n## Warum Bankroll Management wichtig ist {#warum-es-wichtig-ist}\n\n### Das Varianzproblem\n\nSelbst mit einem echten Vorteil sind Verluststrähnen unvermeidlich:\n\n| Gewinnrate | Wahrscheinlichkeit einer 10-Wetten-Verluststrähne |\n|----------|----------------------------------|\n| 55% | 0.03% |\n| 50% | 0.10% |\n| 45% | 0.25% |\n| 40% | 0.60% |\n\n**Über 1000 Wetten bei 55% Gewinnrate:**\n- Erwartete 10+ Verluststrähnen: 0.3 mal\n- Erwartete 8+ Verluststrähnen: 1.5 mal\n- Erwartete 5+ Verluststrähnen: 17 mal\n\n### Die Auswirkung der Einsatzhöhe\n\n**10.000 € Bankroll, 10-Wetten-Verluststrähne:**\n\n| Einsatzhöhe | Verlust | Verbleibend | Benötigte Erholung |\n|------------|------|-----------|-----------------|\n| 1% (100 €) | 1.000 € | 9.000 € | +11% |\n| 2% (200 €) | 2.000 € | 8.000 € | +25% |\n| 5% (500 €) | 5.000 € | 5.000 € | +100% |\n| 10% (1000 €) | 6.513 €* | 3.487 € | +187% |\n\n*Kumulativ mit abnehmenden Einsätzen\n\n### Der Zinseszinseffekt\n\nEine angemessene Einsatzstrategie lässt Gewinne sich potenzieren:\n\n**10.000 € Bankroll, 5% Vorteil, 1000 Wetten:**\n\n| Einsatzmethode | Endgültige Bankroll | Wachstum |\n|--------------|-----------------|--------|\n| 1% fest | 15.000 € | +50% |\n| 2% fest | 22.000 € | +120% |\n| Kelly optimal | 35.000 € | +250% |\n| 5% fest | Variabel (hohes Ruinrisiko) | ±300% |\n\n## Einsatzmethoden {#einsatzmethoden}\n\n### Flat Betting\n\nGleicher Einsatzbetrag für jede Wette, unabhängig von Vorteil oder Änderungen der Bankroll.\n\n```math\n\\text{Einsatz} = \\text{Fester Betrag (z.B. 100 €)}\n```\n\n| Vorteile | Nachteile |\n|------|------|\n| Einfach auszuführen | Passt sich nicht an Änderungen der Bankroll an |\n| Leicht zu verfolgen | Suboptimales Wachstum |\n| Geringe kognitive Belastung | Berücksichtigt nicht die Größe des Vorteils |\n\n**Am besten geeignet für:** Anfänger, Gelegenheitswetter\n\n### Fester Prozentsatz\n\nSetzen Sie den gleichen Prozentsatz der aktuellen Bankroll:\n\n```math\n\\text{Einsatz} = \\text{Bankroll} \\times \\text{Prozentsatz}\n```\n\n**Beispiel:** 2% von 10.000 € = 200 €\n\n| Bankroll | 2% Einsatz |\n|----------|----------|\n| 10.000 € | 200 € |\n| 12.000 € | 240 € |\n| 8.000 € | 160 € |\n| 15.000 € | 300 € |\n\n**Vorteile:**\n- Einsätze wachsen mit Gewinnen\n- Einsätze schrumpfen mit Verlusten (schützt die Bankroll)\n- Mathematisch fundiert\n\n**Am besten geeignet für:** Fortgeschrittene Wetter\n\n### Vertrauensbasierte Einsätze\n\nVariieren Sie die Einsätze basierend auf dem Vertrauensniveau:\n\n| Vertrauen | Einsatz |\n|------------|-------|\n| Hoch (deutlicher Wert) | 2-3% |\n| Mittel (solider Vorteil) | 1-2% |\n| Niedrig (marginaler Vorteil) | 0.5-1% |\n\n**Warnung:** Erfordert eine genaue Selbsteinschätzung. Die meisten Wetter überschätzen Situationen mit hohem Vertrauen.\n\n### Kelly Kriterium\n\nMathematisch optimaler Einsatz basierend auf dem Vorteil:\n\n```math\n\\text{Kelly \\%} = \\frac{p \\times b - q}{b}\n```\n\nWobei:\n- p = Wahrscheinlichkeit zu gewinnen\n- q = Wahrscheinlichkeit zu verlieren (1-p)\n- b = Quote - 1 (Nettoquote)\n\nWird im Detail weiter unten behandelt.\n\n### Vergleichstabelle\n\n| Methode | Wachstumsrate | Varianz | Komplexität | Ruin Risiko |\n|--------|-------------|----------|------------|-----------|\n| Flat | Niedrig | Niedrig | Minimal | Niedrig |\n| Fester % | Mittel | Mittel | Niedrig | Sehr niedrig |\n| Vertrauen | Mittel-Hoch | Mittel-Hoch | Mittel | Mittel |\n| Kelly | Maximal | Hoch | Hoch | Null (theoretisch) |\n| Fraktioniertes Kelly | Hoch | Mittel | Mittel | Sehr niedrig |\n\n## Kelly Kriterium im Detail {#kelly}\n\n### Die vollständige Formel\n\n```math\nf^* = \\frac{bp - q}{b} = \\frac{p(b+1) - 1}{b}\n```\n\nWobei:\n- f* = Bruchteil der Bankroll, der gesetzt werden soll\n- b = Dezimalquote - 1\n- p = wahre Wahrscheinlichkeit zu gewinnen\n- q = 1 - p\n\n### Durchgerechnete Beispiele\n\n**Beispiel 1: Even Money Wette mit Vorteil**\n- Quote: 2.00 (b = 1)\n- Wahre Wahrscheinlichkeit: 55%\n- Kelly: (0.55 × 1 - 0.45) \u002F 1 = 0.10 \u002F 1 = **10%**\n\n**Beispiel 2: Außenseiter mit Vorteil**\n- Quote: 5.00 (b = 4)\n- Wahre Wahrscheinlichkeit: 25%\n- Kelly: (0.25 × 4 - 0.75) \u002F 4 = 0.25 \u002F 4 = **6.25%**\n\n**Beispiel 3: Favorit mit Vorteil**\n- Quote: 1.50 (b = 0.5)\n- Wahre Wahrscheinlichkeit: 70%\n- Kelly: (0.70 × 0.5 - 0.30) \u002F 0.5 = 0.05 \u002F 0.5 = **10%**\n\n### Kelly Kurzübersicht\n\n| Vorteil | Quote 1.50 | Quote 2.00 | Quote 3.00 | Quote 5.00 |\n|------|-----------|-----------|-----------|-----------|\n| 2% | 4% | 2% | 1% | 0.5% |\n| 5% | 10% | 5% | 2.5% | 1.25% |\n| 10% | 20% | 10% | 5% | 2.5% |\n| 15% | 30% | 15% | 7.5% | 3.75% |\n\n### Warum fraktioniertes Kelly verwenden\n\nVolles Kelly ist theoretisch optimal, aber:\n\n| Problem | Konsequenz |\n|---------|-------------|\n| Geht von perfektem Vorteilswissen aus | Wir schätzen, wissen es aber nicht |\n| Hohe Volatilität | 50% Drawdowns üblich |\n| Psychologischer Stress | Schwer durchzuhalten |\n| Fehler bei der Vorteilsschätzung | Überhöhter Einsatz, wenn der Vorteil überbewertet wird |\n\n**Lösung: Fraktioniertes Kelly**\n\n| Fraktion | Risikominderung | Wachstumsopfer |\n|----------|----------------|------------------|\n| 100% (voll) | Keine | Keine |\n| 75% | 25% | 6% |\n| 50% | 50% | 25% |\n| 25% | 75% | 44% |\n\n**Die meisten Profis verwenden 25-50% Kelly.**\n\n### Kelly Rechner\n\n```math\n\\text{Einsatz} = \\text{Bankroll} \\times f^* \\times \\text{Kelly Fraktion}\n```\n\n**Beispiel:**\n- Bankroll: 10.000 €\n- Kelly optimal: 8%\n- Verwendung von 50% Kelly: 10.000 € × 0.08 × 0.50 = **400 €**\n\n## Ruin Risiko {#ruin-risiko}\n\n### Was ist das Ruin Risiko?\n\nDie Wahrscheinlichkeit, die gesamte Bankroll zu verlieren, bevor sich der Vorteil zur Sicherheit entwickelt. Für eine vollständige Anleitung mit Formeln, Beispielen und Strategien zur Minimierung der Ruinwahrscheinlichkeit, siehe unseren [Ruin Risiko Rechner Guide](\u002Fblog\u002Frisk-of-ruin-calculator).\n\n### Ruin Risiko Formel\n\n```math\nR = \\left(\\frac{1-a}{1+a}\\right)^n\n```\n\nWobei:\n- R = Wahrscheinlichkeit des Ruins\n- a = Vorteil (als Dezimalzahl)\n- n = Bankroll in Einheiten\n\n### Ruin Risiko Tabelle\n\n**2% Vorteil:**\n\n| Bankroll (Einheiten) | Einsatz (% der Bankroll) | Ruin Wahrscheinlichkeit |\n|------------------|----------------------|------------------|\n| 50 | 2% | 14.3% |\n| 100 | 1% | 1.8% |\n| 200 | 0.5% | 0.03% |\n| 500 | 0.2% | ~0% |\n\n**5% Vorteil:**\n\n| Bankroll (Einheiten) | Einsatz (% der Bankroll) | Ruin Wahrscheinlichkeit |\n|------------------|----------------------|------------------|\n| 50 | 2% | 4.9% |\n| 100 | 1% | 0.2% |\n| 200 | 0.5% | 0.0004% |\n\n### Praktische Richtlinien\n\n| Risikobereitschaft | Max. Ruin Wahrscheinlichkeit | Benötigte Einheiten |\n|----------------|---------------------|----------------|\n| Konservativ | \u003C1% | 100+ |\n| Moderat | \u003C5% | 50-100 |\n| Aggressiv | \u003C10% | 30-50 |\n\n## Bankroll Größe {#groesse}\n\n### Berechnung der Startbankroll\n\nBasierend auf der Einsatzhöhe und der Risikobereitschaft:\n\n```math\n\\text{Bankroll} = \\frac{\\text{Gewünschte Einsatzhöhe}}{\\text{Einsatz Prozentsatz}}\n```\n\n| Gewünschter Einsatz | Bei 1% | Bei 2% | Bei 5% |\n|---------------|-------|-------|-------|\n| 10 € | 1.000 € | 500 € | 200 € |\n| 50 € | 5.000 € | 2.500 € | 1.000 € |\n| 100 € | 10.000 € | 5.000 € | 2.000 € |\n\n### Minimale tragfähige Bankroll\n\n| Wettfrequenz | Minimale Einheiten | Beispiel bei 50 €\u002FWette |\n|-------------------|---------------|-------------------|\n| Gelegentlich (10\u002FMonat) | 30 Einheiten | 1.500 € |\n| Regelmäßig (50\u002FMonat) | 50 Einheiten | 2.500 € |\n| Aktiv (200\u002FMonat) | 100 Einheiten | 5.000 € |\n| Professionell | 200+ Einheiten | 10.000 €+ |\n\n### Bankroll Trennung\n\n| Konto | Zweck | Prozentsatz |\n|---------|---------|------------|\n| Haupt Wettkonto | Aktives Wetten | 70-80% |\n| Reserve | Schutz vor Drawdowns | 15-20% |\n| Auszahlung | Gesperrter Gewinn | 5-10% |\n\n**Regel:** Setzen Sie niemals Reservegelder. Sie sind die Versicherung.\n\n## Fortgeschrittene Strategien {#fortgeschritten}\n\n### Dynamische Einsätze\n\nPassen Sie den Einsatzprozentsatz basierend auf den Ergebnissen an:\n\n| Jüngste Performance | Einsatzanpassung |\n|-------------------|------------------|\n| +20% Bankroll Wachstum | Erhöhen Sie den Einsatz um 25% |\n| Stabil (±5%) | Behalten Sie den aktuellen Einsatz bei |\n| -10% Drawdown | Reduzieren Sie den Einsatz um 25% |\n| -20% Drawdown | Reduzieren Sie den Einsatz um 50% |\n\n### Sport-\u002FMarktallokation\n\nDiversifizieren Sie über unkorrelierte Wetten:\n\n| Markt Typ | Max. Allokation |\n|-------------|----------------|\n| Einzelne Sportart | 50% der Bankroll |\n| Einzelnes Ereignis | 5% der Bankroll |\n| Korrelierte Wetten | Kombiniert 5% |\n\n### Gleichzeitige Einsätze\n\nBeim Platzieren mehrerer Wetten:\n\n```math\n\\text{Max. gleichzeitiges Risiko} = 20\\% \\text{ der Bankroll}\n```\n\n| Aktive Wetten | Max. pro Wette |\n|-------------|-------------|\n| 1 | 5% |\n| 2 | 3% |\n| 5 | 2% |\n| 10 | 1.5% |\n\n### Bankroll Wiederaufbau\n\nNach einem erheblichen Verlust:\n\n| Verbleibende Bankroll | Strategie |\n|-------------------|----------|\n| 80%+ | Setzen Sie die normale Einsatzstrategie fort |\n| 60-80% | Reduzieren Sie die Einsätze um 25% |\n| 40-60% | Reduzieren Sie die Einsätze um 50% |\n| \u003C40% | Erwägen Sie den Wiederaufbau der Gelder |\n\n### Gewinnmitnahme\n\nSichern Sie Gewinne regelmäßig:\n\n| Wachstum | Aktion |\n|--------|--------|\n| +50% | Ziehen Sie 10-20% der Gewinne ab |\n| +100% | Ziehen Sie 25-33% der Gewinne ab |\n| +200% | Ziehen Sie die ursprüngliche Bankroll ab |\n\n**Dies schützt die lebenslangen Gewinne vor zukünftiger Varianz.**\n\n## Nachverfolgung und Anpassung {#tracking}\n\n### Wesentliche Kennzahlen\n\n| Kennzahl | Formel | Zweck |\n|--------|---------|---------|\n| ROI | Gewinn \u002F Gesamtgesetzter Betrag | Effizienzmaß |\n| Gewonnene Einheiten | Gewinn \u002F Einheitsgröße | Standardisierte Leistung |\n| CLV | Angenommene Quote \u002F Schlussquote | Vorteil Verifizierung |\n| Max. Drawdown | Hochpunkt bis Tiefpunkt | Risikobewertung |\n| Aktueller Drawdown | Hochpunkt bis Jetzt | Aktueller Risikostatus |\n\n### Wann Einsätze anpassen\n\n| Auslöser | Aktion |\n|---------|--------|\n| Bankroll +25% | Erwägen Sie, die Einsätze zu erhöhen |\n| Bankroll -20% | Verringern Sie die Einsätze |\n| 500+ Wetten Stichprobe | Neuberechnung basierend auf dem tatsächlichen Vorteil |\n| Monatliche Überprüfung | Passen Sie sich an veränderte Umstände an |\n\n### Wesentliche Elemente einer Tracking-Tabelle\n\n| Spalte | Zweck |\n|--------|---------|\n| Datum | Zeitanalyse |\n| Ereignis | Aufzeichnungen |\n| Einsatz (€) | Tatsächlicher Betrag |\n| Einsatz (%) | Prozentsatz der Bankroll |\n| Quote | Angenommener Preis |\n| Ergebnis | Gewinn\u002FVerlust |\n| G&V | Gewinn\u002FVerlust |\n| Laufende Bankroll | Aktueller Gesamtbetrag |\n| Drawdown | Vom Hochpunkt |\n\n## Häufige Fehler {#fehler}\n\n### Fehler 1: Zu viel setzen\n\n| Symptom | Konsequenz |\n|---------|-------------|\n| 10%+ Einsätze | Schneller Ruin während einer Abwärtsphase |\n| \"Sichere Sache\" große Wetten | So etwas gibt es nicht; Varianz tötet |\n| Verluste jagen | Zusätzliches Problem |\n\n**Lösung:** Überschreiten Sie niemals 5% bei einer einzelnen Wette. Niemals. (Bwin, Tipico, Bet365 bieten hier oft Limits an, die helfen können.)\n\n### Fehler 2: Keine definierte Bankroll\n\n| Problem | Ergebnis |\n|---------|--------|\n| Wetten vom Hauptkonto | Kann nicht richtig verfolgt werden |\n| Keine klare Grenze | Setzen Sie mehr, als Sie sich leisten können |\n| Gemischte Gelder | Emotionale Entscheidungen |\n\n**Lösung:** Dedizierte, separate Wett-Bankroll.\n\n### Fehler 3: Varianz ignorieren\n\n| Glaube | Realität |\n|--------|---------|\n| \"5% Vorteil = konsistente Gewinne\" | 40%+ Drawdowns möglich |\n| \"10-Wetten-Verluststrähne selten\" | Passiert jedem |\n| \"Ich sollte jetzt profitabel sein\" | Benötigen 500+ Wetten |\n\n**Lösung:** Erwarten Sie Varianz. Planen Sie dafür.\n\n### Fehler 4: Einsätze nicht anpassen\n\n| Szenario | Richtige Aktion |\n|----------|----------------|\n| Bankroll verdoppelt | Kann Einsätze erhöhen |\n| Bankroll halbiert | Muss Einsätze verringern |\n| Vorteil geändert | Kelly neu berechnen |\n\n**Lösung:** Überprüfen Sie die Einsätze monatlich.\n\n### Fehler 5: Übermäßiges Vertrauen in den Vorteil\n\n| Geschätzter Vorteil | Entsprechend setzen | Tatsächlicher Vorteil | Ergebnis |\n|----------------|-----------------|-------------|--------|\n| 10% | 10% Einsätze | 3% | Überhöhte Einsätze, hohe Varianz |\n| 5% | 2.5% Einsätze | 5% | Korrekt |\n| 5% | 2.5% Einsätze | -2% | Langsamerer Verlust (Zeit zur Erkennung) |\n\n**Lösung:** Verwenden Sie fraktioniertes Kelly; seien Sie konservativ.\n\n## Einheitensystem {#units}\n\n### Was ist eine Einheit?\n\nStandardmaß zur Verfolgung von Ergebnissen unabhängig von der Einsatzhöhe.\n\n```math\n1 \\text{ Einheit} = \\text{Standardeinsatzgröße} = 1\\% \\text{ der Bankroll}\n```\n\n### Beispiel zur Einheitenverfolgung\n\n| Wette | Quote | Einsatz | Ergebnis | Gewonnene Einheiten |\n|-----|------|-------|--------|-----------|\n| A | 2.00 | 1u | Gewinn | +1.0u |\n| B | 2.50 | 2u | Verlust | -2.0u |\n| C | 1.80 | 1u | Gewinn | +0.8u |\n| **Gesamt** | | 4u | | **-0.2u** |\n\n### Umwandlung von Einheiten in ROI\n\n```math\n\\text{ROI} = \\frac{\\text{Gewonnene Einheiten}}{\\text{Gesetzte Einheiten}} \\times 100\n```\n\n**Beispiel:** +10 Einheiten von 500 gesetzten Einheiten = 2% ROI\n\n### Leitfaden zur Einheitenrentabilität\n\n| Monatliche Einheiten | Bei 1% Einsätzen | Interpretation |\n|---------------|--------------|----------------|\n| +5-10 | +5-10% ROI | Solider Vorteil |\n| +2-5 | +2-5% ROI | Kleiner Vorteil |\n| ±2 | ±2% ROI | Break Even |\n| -2 bis -5 | -2-5% ROI | Verlieren, überprüfen |\n\n## Zugehörige Rechner\n\n- [Kelly Kriterium Rechner](\u002Fbetting\u002Fkelly-calculator) - Optimale Einsatzgröße\n- [Bankroll Wachstums Simulator](\u002Fbetting\u002Fbankroll-growth) - Wachstumsprognose\n- [Ruin Risiko Rechner](\u002Fbetting\u002Fbankroll-growth-calculator) - Berechnung der Ruinwahrscheinlichkeit",null,[30,33,36,39],{"answer":31,"question":32},"Konservative Wetter verwenden 1-2% pro Wette. Aggressive Wetter verwenden 3-5%. Das Kelly Kriterium schlägt eine optimale Größe basierend auf dem Vorteil vor, aber die meisten Profis verwenden ein fraktioniertes Kelly (25-50%). Überschreiten Sie niemals 5% bei einer einzelnen Wette, unabhängig vom Vertrauen. Kleinere Einsätze = längeres Überleben = mehr Zeit, damit sich der Vorteil auszahlt.","Welchen Prozentsatz meiner Bankroll sollte ich setzen?",{"answer":34,"question":35},"Mindestens 50-100 Einheiten (wobei 1 Einheit = Standardeinsatzgröße). Für 10 €-Wetten beginnen Sie mit 500-1000 €. Größere Bankrolls können besser mit Varianz umgehen – eine 5000 € Bankroll mit 1% Einsatz (50 €) übersteht Abwärtsphasen, die eine 500 € Bankroll ruinieren würden. Beginnen Sie mit dem, was Sie sich leisten können, vollständig zu verlieren.","Wie groß sollte meine Startbankroll sein?",{"answer":37,"question":38},"Ja. Die feste prozentuale Einsatzstrategie passt sich automatisch an – setzen Sie 2% der aktuellen Bankroll, so dass die Einsätze mit Gewinnen wachsen und mit Verlusten schrumpfen. Dies schützt bei Abwärtsphasen und profitiert von Aufwärtsphasen. Alternativ können Sie die Größe monatlich oder nach erheblichen Änderungen der Bankroll (±20%) anpassen.","Sollte ich die Einsätze nach Gewinn oder Verlust anpassen?",{"answer":40,"question":41},"Einheiten sind feste Beträge (50 € = 1 Einheit), die sich mit der Bankroll nicht ändern. Die prozentuale Einsatzstrategie passt sich automatisch an (2% der aktuellen Bankroll). Einheiten sind einfacher, schützen aber nicht optimal vor Abwärtsphasen. Die prozentuale Einsatzstrategie ist mathematisch überlegen, erfordert aber mehr Nachverfolgung.","Was ist der Unterschied zwischen Einheiten und prozentualen Einsätzen?",[43,44,45,46,47,48],"en","ru","es","pt","tr","de",[50,53,57,61,65],{"slug":21,"section":7,"category":8,"difficulty":9,"term":51,"definition":52},"Erwartungswert (EV)","Der durchschnittliche Gewinn oder Verlust, den du langfristig von einer Wette erwarten kannst, berechnet durch Multiplikation des Werts jedes Ergebnisses mit seiner Wahrscheinlichkeit — die wichtigste Zahl, die erfolgreiche Wetter von allen anderen unterscheidet.",{"slug":17,"section":7,"category":8,"difficulty":54,"term":55,"definition":56},"advanced","Kelly-Kriterium","Das Kelly-Kriterium ist eine mathematische Formel, die den optimalen Prozentsatz Ihrer Bankroll berechnet, den Sie auf eine Wette setzen sollten, basierend auf Ihrem Vorteil und den angebotenen Quoten. Es wurde 1956 von John Kelly bei Bell Labs entwickelt und maximiert das langfristige Bankroll-Wachstum bei gleichzeitiger Minimierung des Ruinrisikos. Professionelle Wettende verwenden fraktioniertes Kelly (25-50%), um die Volatilität zu reduzieren.",{"slug":19,"section":7,"category":58,"difficulty":9,"term":59,"definition":60},"concept","Risk of Ruin","Risk of Ruin (RoR) ist die Wahrscheinlichkeit, den gesamten Bankroll bei gegebenen Parametern zu verlieren: Edge pro Einsatz, Varianz und Bankrollgröße. 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