mary and her friends are trying to decide what kind of movie they will watch so they spin the spinner shown…

Explanation:

Step1: Count total sections

The spinner has 8 equal - sized sections.

Step2: Count favorable sections for comedy or action

There are 3 comedy sections and 3 action sections. So, the number of favorable sections for comedy or action is $3 + 3=6$.

Step3: Calculate probability of comedy or action

The probability $P(A)$ of an event $A$ is given by $P(A)=\frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}$. So, $P(\text{comedy or action})=\frac{6}{8}=\frac{3}{4}$.

Step4: Calculate probability of the complement

The probability of the complement of an event $A$, denoted as $P(A')$, is $P(A') = 1 - P(A)$. So, $P(\text{complement})=1-\frac{3}{4}=\frac{1}{4}$.

Answer:

The probability of spinning a comedy or action movie is $\frac{3}{4}$. The probability of the complement of this event is $\frac{1}{4}$.