Consider a game in which a participant pays $2 to roll a die. The participant receives $3 if they roll a 1 (i. E. They go up by a $1) and they receive $4 if they roll a 6 (i. E. They go up by $2). If they roll any other number they lose their $2 (i. E. They lost $2). What is the average expected monetary value of a single roll?