Entendiendo el RTP: el papel de la suerte en las apuestas deportivas

Espera… esto no es solo un número en una página. El RTP que verás aplicado a mercados deportivos es la traducción matemática de la ventaja del operador y de la fricción del mercado; saber leerlo transforma decisiones impulsivas en jugadas informadas. Aquí tienes, desde el inicio, tres herramientas prácticas: 1) cómo convertir cuotas en probabilidades implícitas; 2) cómo calcular el “overround” (margen) y su impacto en el RTP; 3) cómo estimar si una apuesta tiene Valor Esperado (EV) positivo.

Mira esto: con dos cálculos sencillos puedes saber si una cuota merece una apuesta. Primero convierte la cuota decimal en probabilidad (1/cuota). Segundo suma las probabilidades de todos los resultados; si la suma es mayor que 1, ahí está la casa. Más abajo te muestro ejemplos numéricos, mini-casos y una tabla comparativa de herramientas útiles.

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)

¿Qué significa RTP en apuestas deportivas? Observación rápida

¡Atención! En slots RTP suele ser un % explícito del retorno teórico, en deportes no verás ese valor así de claro. Aquí el RTP aparece implícito en las cuotas: si el mercado suma más de 100% en probabilidades, eso reduce tu retorno esperado a largo plazo. En palabras sencillas: RTP = 1 / (suma de probabilidades implícitas).

Cómo calcular overround, margen y RTP (paso a paso)

Primero la fórmula básica: probabilidad implícita = 1 / cuota_decimal. Segundo, overround = Σ(probabilidades_implícitas) − 1. Tercero, RTP_teórico = 1 / Σ(probabilidades_implícitas).

Ejemplo práctico — partido con solo dos resultados (simplificación):

  • Cuota local: 1.90 → prob. implícita = 1 / 1.90 = 0.5263
  • Cuota visitante: 1.90 → prob. implícita = 0.5263
  • Suma = 1.0526 → overround = 0.0526 (5.26%)
  • RTP_teórico = 1 / 1.0526 = 0.95 → 95%

Esto significa que, si apostaras de forma proporcional a las probabilidades implícitas durante mucho tiempo, esperarías recuperar ~95% del volumen jugado por efecto del margen (sin contar errores de estimación).

Mini-caso: detectar una apuesta de valor

Al principio pensé que una cuota de 2.00 siempre era justa; luego me di cuenta de que no. Supongamos que estimas la probabilidad real de un equipo en 55% (0.55) y la casa ofrece 2.00 (prob. implícita 0.5). Calcula EV:

EV = p * (cuota – 1) – (1 – p) = 0.55 * 1 – 0.45 = 0.10 (o $10 sobre $100). Resultado: apuesta de +10% EV. Al principio me emocioné; luego recordé la varianza.

Kelly aplicado: cuánto arriesgar si tienes ventaja

Fórmula simple (fracción de bankroll): f* = (b*p − q)/b, donde b = cuota_decimal − 1, p = tu probabilidad estimada, q = 1 − p.

Ejemplo: cuota 2.00 → b = 1; p = 0.55 → f* = (1*0.55 − 0.45)/1 = 0.10 → apostar 10% del bankroll. Sí, suena agresivo — por eso muchos usan una fracción de Kelly (ej. 25–50%).

Comparación de enfoques y herramientas

Herramienta / enfoque Qué hace Cuándo usarlo
Conversor de cuotas → probabilidades Convierte cuotas decimales/fraccionales en probabilidad implícita Siempre antes de valorar una apuesta
Calculadora Kelly Dice la fracción óptima del bankroll según ventaja Cuando estés seguro de tu edge (p> implied)
Comparadores de cuotas / scraping Encuentra la mejor cuota entre casas y reduce la fricción Si apuestas regularmente o haces trading
Registro de apuestas (tracker) Controla ROI, volatilidad y drawdowns reales Obligatorio para medir rendimiento a medio-largo plazo

¿Dónde encaja el operador en tu evaluación?

Por un lado, el mercado y las cuotas que ofrece una casa determinan tu RTP. Pero por otro lado, la experiencia operativa importa: límites, tiempos de retiro, KYC y confianza en el operador influyen en la gestión real de bankroll. Si estás evaluando opciones para practicar lo expuesto aquí —comparar cuotas, probar pequeños stakes y verificar tiempos de retiro— una página del mercado local puede servir de banco de pruebas. Por ejemplo, para usuarios en Ecuador conviene revisar operadores con presencia regional y políticas claras: dorado-bet-ecuador.com se muestra como un punto de referencia donde puedes experimentar mercados y ver la estructura de cuotas en vivo mientras comparas procesos de verificación y retiro.

Quick Checklist — antes de hacer cualquier apuesta

  • Convertir cuota a probabilidad implícita (1/cuota).
  • Calcular overround del mercado (suma − 1).
  • Contrastar tu estimación (p) con la probabilidad implícita; calcular EV.
  • Si EV>0, calcular fracción Kelly (o fracción reducida de Kelly).
  • Registrar la apuesta en tu tracker y respetar límites de bankroll y sesión.

Common mistakes and how to avoid them

  • Confundir varianza con falta de edge — Solución: revisa series largas, no 10 apuestas.
  • Apostar sin calcular el overround — Solución: siempre convertir cuotas a probabilidades.
  • Usar Kelly completo sin ajuste — Solución: aplicar 25–50% de Kelly para reducir drawdown.
  • Ignorar costos reales (comisiones, conversión de moneda) — Solución: sumar cargos a la expectativa de ganancia.
  • Confiar en intuiciones repetidamente — Solución: documenta y prueba hipótesis con datos.

Mini-FAQ

¿El RTP es fijo en apuestas deportivas?

No. A diferencia de muchas slots que anuncian RTP, el “RTP” en deportes depende del mercado y de las cuotas; cambia con el overround y la competencia entre casas.

¿Puedo confiar en mis estimaciones de probabilidad?

Con cautela. Si tu modelo produce p consistentemente mejor que las cuotas del mercado y lo demuestras con registros, tienes ventaja. Validación y control estadístico son clave.

¿Qué es más rentable: buscar cuotas mejores o usar estrategias de staking?

Ambas son relevantes. Mejorar cuota reduce el overround y aumenta EV; una estrategia de staking adecuada controla volatilidad y preserva capital para aprovechar el edge.

Errores humanos y sesgos — un par de advertencias

Mi instinto dice “confía en el presentimiento”, pero a la larga el sesgo de confirmación te matará: buscarás solo apuestas que confirmen tu hipótesis. Por un lado la intuición ayuda a identificar patrones; por otro lado, debes validar con datos. Si ves una racha de pérdidas, pregúntate: ¿mi estimación p cambió o solo la varianza me pegó? Aprende a separar ambos.

Indicadores prácticos para medir tu RTP personal

Registra: número de apuestas, stakes medios, unidades ganadas/perdidas, ROI y desviación estándar. Calcula el ROI = (ganancias netas) / (importe total apostado). Con series largas, tu ROI aproximará el RTP ajustado por tu skill y por el overround del mercado.

18+. Juega de forma responsable: establece límites de depósito, no apuestes dinero destinado a necesidades básicas y utiliza herramientas de autoexclusión cuando sea necesario. En Ecuador, ten presente las verificaciones KYC y los tiempos de retiro al elegir operador; busca soporte y políticas claras antes de depositar.

Fuentes

  • https://www.gamblingcommission.gov.uk
  • https://www.investopedia.com/terms/k/kellycriterion.asp
  • https://www.gli.global

About the Author

{author_name}, iGaming expert. Experiencia práctica en análisis de cuotas, modelos de probabilidad y gestión de bankroll en mercados latinoamericanos.

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