angelos pizza is having a ticket raffle to raise money for new soccer uniforms. a $1 ticket gives an even…

angelos pizza is having a ticket raffle to raise money for new soccer uniforms. a $1 ticket gives an even chance to win one $25 gift certificate, one $15 gift certificate, or three $5 gift certificates. what is the expected profit or loss for purchasing 1 ticket if 100 total tickets are sold? a gain of $0.45 a loss of $0.45 a loss of $0.55 a gain of $0.55

angelos pizza is having a ticket raffle to raise money for new soccer uniforms. a $1 ticket gives an even chance to win one $25 gift certificate, one $15 gift certificate, or three $5 gift certificates. what is the expected profit or loss for purchasing 1 ticket if 100 total tickets are sold? a gain of $0.45 a loss of $0.45 a loss of $0.55 a gain of $0.55

Answer

Explanation:

Step1: Calcular el valor esperado de los premios

El valor de los premios es $25 + 15+3\times5=25 + 15 + 15=55$. Hay 100 boletos vendidos, así que la probabilidad de ganar un premio al comprar un boleto es $\frac{1}{100}$. El valor esperado de los premios $E(X)$ es $\frac{55}{100}=0.55$.

Step2: Calcular la ganancia o pérdida

El costo de un boleto es $1$. La ganancia o pérdida $G$ es el valor esperado de los premios menos el costo del boleto. Entonces $G = 0.55-1=- 0.45$.

Answer:

a loss of $0.45$