Valor Esperado (EV) is a fundamental concept in probability and statistics that represents the average or valor medio of a random variable over numerous trials or occurrences. It is a calculated measure that helps in predicting the likely outcomes of uncertain events.
The expected value is computed by taking the sum of all possible outcomes, each multiplied by its probabilidad respectiva de ocurrencia. Matemáticamente, puede expresarse como:
EV = Σ (x * P(x))
donde:
- x representa los resultados posibles.
- P(x) es la probabilidad de cada resultado.
Por ejemplo, si tienes un juego simple en el que lanzas un dado justo de seis caras, el valor esperado del lanzamiento se puede calcular de la siguiente manera:
EV = (1/6 * 1) + (1/6 * 2) + (1/6 * 3) + (1/6 * 4) + (1/6 * 5) + (1/6 * 6) = 3.5
Esto significa que, en un gran número de lanzamientos, el resultado promedio se acercará a 3.5.
En varios campos como finance, economics, and gambling, the expected value helps in making informed decisions by weighing the risks and benefits of different options. A positive expected value indicates a potentially profitable decision, while a negative expected value suggests a loss over time. Therefore, understanding expected value is crucial for effective decision-making en entornos de incertidumbre.