Solution
- Experimental probability is the probability gotten from conducting experiments and it is different from theoretical probability which is derived from hypothetical situations.
- In this question, the hypothetical situation that leads to the theoretical probabilities of getting a red, an orange, and so on, is the fact that the question already said the smallest section of the circle is 1/16 and every other portion is a multiple of this.
- The experimental probabilities are gotten from the table and the formula for calculating this probability is given below:
[tex]\begin{gathered} Given\text{ Event \lparen E\rparen,} \\ P(E)=\frac{Number\text{ of times an event occurs}}{Total\text{ number of trials}} \end{gathered}[/tex]
- Thus, we can proceed to find the experimental probabilities of finding any of these colors as follows:
Orange:
[tex]\begin{gathered} E=\text{ Event of spinning an Orange} \\ P(orange)=\frac{3}{30}=\frac{1}{10} \end{gathered}[/tex]
Green:
[tex]P(green)=\frac{6}{30}=\frac{1}{5}[/tex]
Blue:
[tex]P(blue)=\frac{5}{30}=\frac{1}{6}[/tex]
