Question

A spinner is divided into 12 sections of equal size. The sections of the spinner are numbered 1 through 12.

The arrow on the spinner is spun 36 times. Which is the best prediction of the number of times the arrow on the spinner is expected to stop in the section numbered 7?

A.
3 times

B.
5 times

C.
7 times

D.
9 times

Answer 1

Firstly, the probability of getting 7 would be 1 over 12.
In other words, for every 12 rolls, it is expected to stop at any number 1 time.
Let's now make a proportion here.

\[\Large \color{MidnightBlue}{\Rightarrow 1:12=x:36 }\]
\[\Large \color{MidnightBlue}{\Rightarrow 12 x = 36 }\]
\[\Large \color{MidnightBlue}{\Rightarrow x = 3 }\]