Question

using the spinner below, what is the probability of spinning purple or green? green purple purple red blue green

Explanation:

Step1: Count total sections

The spinner is divided into 6 equal - sized sections. So the total number of possible outcomes is $n = 6$.

Step2: Count favorable sections

There are 2 purple sections and 2 green sections. So the number of favorable outcomes is $m=2 + 2=4$.

Step3: Calculate probability

The probability $P$ of an event is given by the formula $P=\frac{m}{n}$. Substituting $m = 4$ and $n = 6$, we get $P=\frac{4}{6}=\frac{2}{3}$.

Answer:

$\frac{2}{3}$