Question

The spinner shown is divided into 8
equal sections.
​
​ 2 1 2 4 2 5 3 1
​
​The arrow on this spinner is spun once.
​
​What is the probability that the arrow will land on a section labeled with a number greater than
?
A
18\frac{1}{8}
8
1
​

B
14\frac{1}{4}
4
1
​

C
13\frac{1}{3}
3
1
​

D
12\frac{1}{2}
2
1
​

Answer 1

To determine the probability that the arrow on the spinner lands on a section labeled with a number greater than a given value, we first need to know the specific value in question. However, since the question is not clear about what number "greater than" refers to, I will explain the process for finding the probability and illustrate it using a hypothetical value.

Let's first look at the numbers labeled on the spinner: 2, 1, 2, 4, 2, 5, 3, 1

**Step 1: Count the total sections.**
The spinner is divided into 8 equal sections.

**Step 2: Count favorable outcomes.**
Next, we will examine the numbers greater than a hypothetical number. Let’s say we are tasked with finding the probability of landing on a number greater than 3.

The numbers greater than 3 on our spinner are: 4, 5 (2 sections).

**Step 3: Calculate probability.**
The probability \( P \) of landing on a section greater than 3 is calculated by the formula:

\[
P = \frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}
\]

In this case:

\[
P = \frac{2}{8} = \frac{1}{4}
\]

**In general:**
1. Determine the total number of sections (which is 8).
2. Identify how many sections are greater than the specified number.
3. Use the ratio of favorable outcomes to total outcomes to find the probability.

If you provide the specific number you want to check against, I can give you the exact probability based on that value.