Two friends, Andrew and Liz, are playing a game using this spinner. If thespinner lands on region 4, Andrew wins. If it lands on region 3, Liz wins. If itlands on any other region, neither wins. Is this a fair game?

Since we have the following probabilities:
[tex]\begin{gathered} P(1)=P(4)=\frac{1}{4} \\ P(2)=P(3)=P(5)=P(6)=\frac{1}{8} \end{gathered}[/tex]then, this is not a fair game, since Andrew has a 1/4 probability of winning and Liz has a 1/8 probability of winning