Question

using the spinner below, what is the probability of spinning purple or green?
green purple
purple red
blue green
○ $\frac{1}{6}$
○ $\frac{1}{3}$
○ $\frac{2}{3}$
○ $\frac{5}{6}$

Explanation:

Step1: Count total sections

The spinner is divided into 6 equal - sized sections.

Step2: Count favorable sections

There are 2 purple sections and 2 green sections. So, the number of favorable sections is \(2 + 2=4\).

Step3: Calculate probability

The probability \(P\) of an event is given by the formula \(P=\frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}\). Here, \(P = \frac{4}{6}=\frac{2}{3}\).

Answer:

\(\frac{2}{3}\)