Net
Possibilities  Value   Probability  Expectation
   Win $1       -$4         1/3        -4/3
   Win $5        $0         1/3          0
   Win $20     +$15         1/3         +5
---------------------------------------------
                                      +11/3 = +$3.66 2/3
The Fair will lose money on this game, on the average of $3.66 2/3
per player.
Edwin