Question

calculate the theoretical probability of the spinner landing on yellow or green.

Explanation:

Step1: Assume total sections

Let's assume the spinner has $n$ equal - sized sections in total.

Step2: Count favorable sections

Let the number of yellow sections be $y$ and the number of green sections be $g$. The number of favorable sections (yellow or green) is $y + g$.

Step3: Calculate probability

The theoretical probability $P$ of an event is given by the formula $P=\frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}$. So the probability of the spinner landing on yellow or green is $P=\frac{y + g}{n}$.

Since we don't know the values of $y$, $g$ and $n$ from the given text, if we assume for example that the spinner has 8 equal - sized sections, 3 are yellow and 2 are green. Then $n = 8$, $y=3$, $g = 2$.

Step4: Substitute values

$P=\frac{3 + 2}{8}=\frac{5}{8}$

Answer:

$\frac{y + g}{n}$ (If specific values of $y$, $g$ and $n$ are given, substitute them to get a numerical answer)