there is a 1/6 chance that you will win $1

there is a 5/6 chance that you will lose .25

you can expect to win (1/6)*1=.1666667

you can expect to lose (5/6*.25)=.2083333

.16667 - .20833 = -.04167

you can expect to lose an average of a bit more than 4 cents per roll of the dice