Cómo leer las líneas de apuesta e integrar blockchain en casinos

¡Espera... esto es útil desde el primer párrafo! Aquí tienes, en dos pinceladas, lo que vas a poder usar ahora mismo: cómo leer una línea de apuesta (cuotas americanas/europeas/decimales), cómo convertirlas a probabilidad implícita y un ejemplo numérico que te permite calcular el EV (valor esperado) de una apuesta simple. Además, verás cómo la tecnología blockchain puede resolver problemas reales del jugador: transparencia de RTP, pagos más rápidos y pruebas verificables de fairness.

Mi instinto dice que lo mejor es empezar con un ejemplo práctico. Observa una cuota decimal 2.25: eso implica que por cada $100 apostados se esperan $225 de retorno bruto; la probabilidad implícita es 1/2.25 = 0.444 → 44.4%. De ahí puedes sacar el margen del bookie si comparas con otras cuotas. Luego veremos cómo la cadena de bloques pone una marca pública e inmutable sobre esos registros de apuesta.

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1. Leer líneas de apuesta: sistema rápido y chequeable

¡Wow! Las cuotas asustan al principio. Pero no hay misterio: tres formatos cubren casi todo.

  • Decimal (2.25): directo, multiplicas la apuesta por la cuota para obtener retorno bruto.
  • Fraccional (9/4): clásico británico; conviertes a decimal: 9/4 = 2.25 → sumá 1 si es neto/total.
  • Americana (+125 / -140): si es positivo, ganás +125 por $100 apostados; si es negativo, necesitás apostar $140 para ganar $100.

Expande: para convertir americana a decimal: si cuota = -140 → decimal = 1 + (100/140) = 1.714. Si cuota = +125 → decimal = 1 + (125/100) = 2.25. Reflexiona: así puedes comparar fácilmente entre casas.

Mini-caso: calibrar ventaja y margen

Observación corta: una casa ofrece 1.90 por un favorito, otra 2.00 por el mismo. Expande: la diferencia de 0.10 en decimal significa ~5.26% más retorno relativo. Reflexión larga: si apuestas $1,000 a la cuota más alta, a lo largo de 100 apuestas con margen similar, ese pequeño diferencial compone grandes variaciones en ROI.

2. Cálculos esenciales (fórmulas rápidas)

OBSERVA: apúntalas.

  • Probabilidad implícita (decimal): P = 1 / cuota_decimal
  • Edge o margen implícito del bookie: 1 - Σ(P_i) (para todos los resultados del mercado)
  • EV simple (apuesta única): EV = (Probabilidad_real * Ganancia) - (Probabilidad_perder * Apuesta)

Ejemplo numérico: apuesta $100 a cuota 2.50; si tu probabilidad real estimada es 45% (0.45): EV = 0.45*(150) - 0.55*(100) = 67.5 - 55 = $12.5 → apuesta con EV positivo.

3. Cómo detectar valor realista (y malas señales)

¡Aquí está la cosa: casi nadie tiene la “probabilidad real” perfecta! Por un lado, el análisis estadístico y modelos te ayudan; por otro, las cuotas reflejan información de mercado y sesgos.

Señales de cuidado:

  • Cuotas que se mueven sin noticias: posible apuesta profesional (sharp money) o error temporal.
  • Mercados con baja liquidez: líneas erráticas → evita stakes grandes.
  • Bonos con rollover que no especifican contribución por juego: contabiliza la cifra real antes de valorar la oferta.

4. Blockchain en casinos: qué resuelve y cómo

¡Mi instinto vibra con la transparencia!

OBSERVA: blockchain no es magia, es un libro público (ledger) e inmutable.

EXPANDE: aplicado a casinos, sirve para tres cosas prácticas: 1) pagos más rápidos y trazables, 2) pruebas de fair play (provably fair) con semillas verificables, 3) auditoría pública de balances o reservas de premios si el operador decide hacerlos on‑chain.

REFLEJA: esto no elimina la necesidad de regulación; en Argentina, por ejemplo, licencias provinciales y KYC siguen siendo obligatorios — blockchain complementa, no reemplaza, el control regulatorio.

Modelos de integración (comparativa)

Enfoque Cómo funciona Ventajas Desventajas Mejor para
Centralizado (tradicional) RNG interno; auditorías externas periódicas. Velocidad, UX controlada. Menos transparencia inmediata; requiere confianza en auditoría. Operadores con gran volumen y T&C complejos.
Provably fair (semilla + hashing) Operador publica hash de semilla, revela semilla tras resultado. Jugadores verifican que no hubo manipulación. Requiere entendimiento técnico; no cubre todos los juegos. Slots/ruleta/coin-flips con confianza exigida.
Blockchain on‑chain Contratos inteligentes procesan apuestas y pagan automáticamente. Pagos automáticos, registros inmutables, transparencia total. Costos de gas, escalabilidad y requisitos KYC off‑chain. Juegos con tokens, jackpots, pagos cross‑border.
Híbrido (mejor práctica) RNG off‑chain + publicación de commitments on‑chain; pagos fiat off‑chain. Compromiso entre UX y transparencia. Mayor complejidad técnica. Operadores tradicionales que adoptan blockchain progresivamente.

5. Mini-caso: cómo un casino usa Chainlink VRF para un jackpot

OBSERVA: imagina un jackpot tokenizado con $1,000,000 en reservas.

EXPANDE: el contrato inteligente usa Chainlink VRF (verifiable random function) para generar la semilla aleatoria; cuando hay un ganador, el smart contract libera los fondos automáticamente al address verificado tras pasar KYC off‑chain.

REFLEJA: ventaja real — el jugador y los reguladores pueden auditar la secuencia: commitment → VRF proof → payout. Riesgo: la parte off‑chain (KYC/payments fiat) sigue siendo crítica y requiere procesos seguros y licencias locales.

6. Dónde encaja palpitios (recomendación práctica)

Espera: si estás en Tucumán y quieres ver cómo se combinan apuestas deportivas, oferta local y opciones de pago adaptadas a la provincia, revisá plataformas que operan dentro de la regulación local. Una referencia útil para entender la oferta regional y canales de depósito físicos es palpitos, que describe la interacción entre puntos de venta locales, atención al cliente y el cumplimiento de KYC en ese mercado; esto te ayuda a entender cómo un operador puede ofrecer transparencia operativa sin perder el control regulatorio.

7. Quick checklist: qué mirar antes de apostar o usar una plataforma blockchain

  • 18+ y cumplimiento local: ¿la casa publica licencia y jurisdicción?
  • KYC/AML: requisitos de verificación y tiempos de retiro.
  • RTP y auditorías: ¿proveedor auditado o pruebas provably fair?
  • Historial de pagos: reseñas y experiencia de usuarios locales.
  • Costos y latencia de pagos on‑chain: monedas soportadas y comisiones.

8. Errores comunes y cómo evitarlos

OBSERVE: la trampa más habitual es el sesgo del jugador (gambler’s fallacy) y el anclaje en una cuota inicial.

  1. Creer que una racha cambia la probabilidad objetiva → evita aumentar stakes por “racha”.
  2. Ignorar rollover de bonos → calcula la cantidad real de apuestas necesarias (ej.: bono 100% con WR 30× sobre D+B implica mucho volumen).
  3. Asumir que blockchain es anónimo por defecto → muchas implementaciones exigen KYC antes del retiro fiat.
  4. No comparar cuotas entre casas → pequeñas ventajas repetidas suman mucho.

9. Mini‑FAQ

¿Blockchain garantiza que nunca te estafen?

No. Blockchain aporta transparencia técnica (inmutabilidad de registros, pruebas de generación aleatoria si están bien implementadas), pero la custodia de fondos fiat, el KYC y la gobernanza legal siguen siendo responsabilidad del operador y del regulador local.

¿Puedo convertir probabilidades americanas a decimales rápido?

Sí: si es +X → decimal = 1 + X/100. Si es −X → decimal = 1 + 100/X. Útil para comparar cuotas entre casas.

¿Qué es mejor para un jugador novato: casas tradicionales o plataformas on‑chain?

Para novatos enfocados en experiencia y soporte fiat, casas reguladas tradicionales/híbridas suelen ser más sencillas. Para usuarios con experiencia cripto que valoran la verificación pública y pagos en tokens, plataformas on‑chain pueden ofrecer ventajas.

10. Consejos prácticos finales y responsabilidades

OBSERVA: aposto y pierdo; esa es mi experiencia. EXPANDE: controla el bankroll, usa porcentajes fijos por apuesta (ej.: 1–2% del bankroll), y evita martingalas que escalan riesgo exponencialmente. REFLEJA: por un lado la tecnología blockchain puede mitigar desconfianzas; por otro, la regulación y procesos KYC en Argentina (licencias provinciales, verificación DNI) no desaparecen: siguen siendo clave para la protección del jugador.

18+. Juega con responsabilidad. Si sentís que perdés control, solicitá ayuda: línea provincial de asistencia 0800‑555‑7678. Revisá siempre Términos y Condiciones y la política de retiros antes de depositar.

Sources

  • Ethereum Foundation — Whitepaper: https://ethereum.org/en/whitepaper/
  • Chainlink — VRF Documentation: https://docs.chain.link/docs/chainlink-vrf/
  • Deloitte — "Blockchain in Gaming" (análisis sectorial, 2020)

About the Author

Marcos Ledesma, iGaming expert. Profesional con más de 8 años en la industria de juegos y apuestas online, especializado en integración tecnológica y prácticas de juego responsable. Es autor de análisis sobre RTP, bonificaciones y adopción de blockchain en operaciones regulatorias.

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