find the theoretical probability of not landing on yellow if you spin the spinner.

Explanation:

Step1: Determine total sections

The spinner has 8 equal - sized sections.

Step2: Determine yellow sections

There is 1 yellow section.

Step3: Calculate probability of landing on yellow

The probability of landing on yellow, $P(Y)=\frac{1}{8}$.

Step4: Calculate probability of not landing on yellow

The probability of not landing on yellow is $P(\text{not }Y)=1 - P(Y)=1-\frac{1}{8}=\frac{7}{8}$.

Answer:

$\frac{7}{8}$