A Game Is Said to Be "Fair" If the Expected

Essay

A game is said to be "fair" if the expected value for winnings is 0, that is, in the long run,
the player can expect to win 0. Consider the following game. The game costs $1 to play and
the winnings are $5 for red, $3 for blue, $2 for yellow, and nothing for white. The following
probabilities apply. What are your expected winnings? Does the game favor the player or the
owner? $$\begin{array} { r | c } \text { Outcome } & \text { Probability } \\\hline \text { Red } & .02 \\\text { Blue } & .04 \\\text { Yellow } & .16 \\\text { White } & .78\end{array}$$