2014 CEMC Gauss (Grade 7) Problems/Problem 4

Problem

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


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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 $\boxed {{(D) } \frac{2}{6}}$.