In a state's Pick 3 lottery game, you pay $1.35 to select a sequence of three digits (from 0 to 9), such as 966. If you select the same sequence of three digits that are drawn, you win and collect $394.46

Respuesta :

Answer:

-96 cents

Step-by-step explanation:

(Conjectured Problem) In a state's Pick 3 lottery game, you pay $1.35 to select a sequence of three digits (from 0 to 9), such as 966. If you select the same sequence of three digits that are drawn, you win and collect $394.46.  That is your expected win?  

Expected Win =

(Probability you match the drawn sequence)(Amount won if there is a match) - (Amount you pay) =

(1/10)(1/10)(1/10)(394.46) - 1.35 =  

0.39446 - 1.35 =

-0.95554 =

-96 cents, rounded to the nearest cent