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Difference between revisions of "2014 CEMC Gauss (Grade 7) Problems/Problem 4"

(Created page with "== Problem== The spinner shown is divided into 6 sections of equal size. {{Template:Image needed}} What is the probability of landing on a section that contains the letter P u...")
 
 
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The spinner shown is divided into 6 sections of equal size.
 
The spinner shown is divided into 6 sections of equal size.
 
{{Template:Image needed}}
 
{{Template:Image needed}}
What is the probability of landing on a section that contains the letter P using this spinner.
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What is the probability of landing on a section that contains the letter P using this spinner?
 
<math> \textbf{(A)}\ \frac{3}{6} \qquad\textbf{(B)}\ \frac{4}{6} \qquad\textbf{(C)}\ \frac{5}{6} \qquad\textbf{(D)}\ \frac{2}{6} \qquad\textbf{(E)}\ \frac{1}{6} </math>
 
<math> \textbf{(A)}\ \frac{3}{6} \qquad\textbf{(B)}\ \frac{4}{6} \qquad\textbf{(C)}\ \frac{5}{6} \qquad\textbf{(D)}\ \frac{2}{6} \qquad\textbf{(E)}\ \frac{1}{6} </math>
 
==Solution==
 
==Solution==
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Thus, the probability is <math>\boxed {{(D) } \frac{2}{6}}</math>.
 
Thus, the probability is <math>\boxed {{(D) } \frac{2}{6}}</math>.
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{{CEMC box|year=2014|competition=Gauss (Grade 7)|num-b=3|num-a=5}}

Latest revision as of 11:55, 18 October 2025

Problem

The spinner shown is divided into 6 sections of equal size.


An image is supposed to go here. You can help us out by creating one and editing it in. Thanks.


What is the probability of landing on a section that contains the letter P using this spinner? $\textbf{(A)}\ \frac{3}{6} \qquad\textbf{(B)}\ \frac{4}{6} \qquad\textbf{(C)}\ \frac{5}{6} \qquad\textbf{(D)}\ \frac{2}{6} \qquad\textbf{(E)}\ \frac{1}{6}$

Solution

To find the probability of landing on a section with the letter P, we can divide the number of sections that contain P by the total number of sections.

As stated in the problem, there are $6$ sections of equal size. Looking at the spinner, we can notice that P appears $2$ times in the spinner.

Thus, the probability is $\boxed {{(D) } \frac{2}{6}}$.

2014 CEMC Gauss (Grade 7) (ProblemsAnswer KeyResources)
Preceded by
Problem 3
Followed by
Problem 5
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CEMC Gauss (Grade 7)