A spinner is shown below. what is the probability that a 5 is spun?
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Answer:
The probability that 5 is spun is;
[tex]\begin{gathered} P(5)=\frac{2}{9} \\ or \\ P(5)=22.22\text{\%} \end{gathered}[/tex]Explanation:
Given the figure in the attached image.
We will assume that each of the sectors are of the same size.
The probability of spinning a 5 is equal to the number of sectors with 5 divided by the total number of sectors.
[tex]\begin{gathered} n(5)=2 \\ n(\text{total)}=9 \end{gathered}[/tex]So, the probability that 5 is spun is;
[tex]\begin{gathered} P(5)=\frac{n(5)}{n(\text{total)}}=\frac{2}{9} \\ P(5)=\frac{2}{9} \\ \text{ in percentage;} \\ P(5)=\frac{2}{9}\times100\text{\%} \\ P(5)=22.22\text{\%} \end{gathered}[/tex]Therefore, the probability that 5 is spun is;
[tex]\begin{gathered} P(5)=\frac{2}{9} \\ or \\ P(5)=22.22\text{\%} \end{gathered}[/tex]