Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

if theo spins the spinner 60 times, how many times should he expect it …

Question

if theo spins the spinner 60 times, how many times should he expect it to land on “action”?
10
12
15
20

Explanation:

Step1: Determine the probability of landing on Action

Assume the spinner is divided evenly among the 5 - categories. The probability $P$ of landing on Action is $\frac{1}{5}$ since there is 1 Action section out of 5 total sections.

Step2: Calculate the expected number of times

The expected value $E$ is calculated by multiplying the number of trials $n$ by the probability $P$. Here, $n = 60$ and $P=\frac{1}{5}$. So, $E=n\times P=60\times\frac{1}{5}=12$.

Answer:

12