A: the spinner lands on red
If you spin the spinner twice, the results are independent, then the probability of getting two reds is P(A)*P(A)
We need this probability equal to 1/2 in order to get a fair game. Since there are 2 possible outcomes (red or blue), then P(A) = x/2. Now we can write the next equation:
[tex]\begin{gathered} \frac{x}{2}\cdot\frac{x}{2}=\frac{1}{2} \\ \frac{x^2}{4}=\frac{1}{2} \\ x^2=\frac{4}{2} \\ x=\sqrt[]{2} \end{gathered}[/tex]This means that √2/2 of the spinner must be red
