Question

p(not a)= remember to simpllify.

Explanation:

Step1: Calculate the number of non - A sections

The spinner is divided into 8 equal sections. The number of sections labeled A is 3. So the number of non - A sections is \(8 - 3=5\).

Step2: Calculate the probability

The probability formula is \(P=\frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}\). Here, the number of favorable outcomes (non - A) is 5 and the total number of outcomes is 8. So \(P(\text{not }A)=\frac{5}{8}\). But wait, let's check the fractions given:

• \(\frac{3}{4}=\frac{6}{8}\)
• \(\frac{6}{8}\)
• \(\frac{2}{8}=\frac{1}{4}\)
• \(\frac{1}{4}\)

We made a mistake above. Let's re - count:
The spinner has 8 sections. The number of sections labeled A is 2. So the number of non - A sections is \(8 - 2 = 6\). Then \(P(\text{not }A)=\frac{6}{8}=\frac{3}{4}\)

Answer:

\(\frac{3}{4}\)