Question 1185112
{{{matrix(4,12,sum, 2,3,4,5,6,7,8,9,10,11,12, 7*sum, 14,21,28,35,42,49,56,63,70,77,84,p(x[i]), 1/36,2/36, 3/36,4/36, 5/36, 6/36,5/36,4/36,3/36,2/36,1/36, net = x[i], -34,-27,-20,-13,-6,1,8,15,22,29,36)}}}

===> {{{E(X) = sum(x[i]*p(x[i]), i =1, 11) =-34/36 -54/36 -60/36-52/36 -30/36+ 6/36+40/36 +60/36 +66/36 + 58/36 + 36/36 = 36/36 = "$1" }}}.


Therefore the game is fair for you -- you expect to earn $1 on average if you played the game long enough.