Question

The theoretical probability of spinning an even number on a spinner is 2/3 . The spinner has 8 even-numbered sections. How many sections are on the spinner?

Answer 1

There are 12 sections

here is how to do it:

2 8
_ = _
3 x
so you cross multiply

8 x 3 = 2x
24=2x
12=x

Answer 2

Answer:  There are 12 sections on the spinner.

Step-by-step explanation:  Given that the  theoretical probability of spinning an even number on a spinner is $\dfrac{2}{3}.$ And the spinner has 8 even-numbered sections.

We are to find the number of sections on the spinner.

Let, x be the total number of sections on the spinner.

Then, the probability of spinning an even number on the spinner is given by

$\dfrac{8}{x}.$

According to the given information, we must have

$\dfrac{8}{x}=\dfrac{2}{3}\\\\\\\Rightarrow x=\dfrac{8\times 3}{2}\\\\\Rightarrow x=4\times 3\\\\\Rightarrow x=12.$

Thus, there are 12 sections on the spinner.