2. A spinner with 8 equal-sized sections is used for a game. Based on the descriptions below, is the spinner fair? Explain. The probability the pointer will land on yellow is 1 out of 4 .The probability the pointer will land on blue is 2 out of 8 . The probabilities that the pointer will land on qreen or red are both \( 25 \% \).

A fair spinner means each section has an equal probability of being landed on. In this case, with 8 equal sections, each section should have a probability of \( \frac{1}{8} \) or \( 12.5\% \). The probability for yellow is given as \( \frac{1}{4} \) (or \( 25\% \)), which is not equal to \( 12.5\% \). The probability for blue is \( \frac{2}{8} \) (or \( 25\% \)), which again is higher than \( 12.5\% \). The probabilities for green and red are both \( 25\% \), thus affirming that several sections favor certain colors over others. Therefore, the spinner is not fair. An important thing to remember is that in a game setting, if the spinner is biased, it could lead to frustration or unfair play. Players may feel it's rigged if certain outcomes are more likely than others. To ensure fairness, game creators should constantly reassess and standardize probabilities, maybe even modifying the design of the spinner or the game rules to promote an even chance of winning.