Question

Write the theoretical probability of spinning each color on the spinner’s

Answer 1

The theoretical probability of an event is defined as the chance of an event occuring without carrying out the event yet. That is, its probability based on predictions and not actual experiments.

For a spinner with four sections colored blue, green, yellow and red, the sections are spun 100 times and the results per color are;

`\begin{gathered} \text{Blue}=14 \\ \text{Green}=10 \\ \text{Yellow}=8 \\ \text{Red}=68 \end{gathered}`

We shall calculate the probability of spinning each color using the following probability formula;

`P\lbrack E\rbrack=\frac{\text{Number of required outcomes}}{Number\text{ of possible outcomes}}`

For the blue section;

`\begin{gathered} P\lbrack\text{blue\rbrack}=(14)/(100) \\ P\lbrack\text{blue\rbrack}=(7)/(50) \end{gathered}`

For the green section;

`\begin{gathered} P\lbrack\text{green\rbrack}=(10)/(100) \\ P\lbrack\text{green\rbrack}=(1)/(10) \end{gathered}`

For the yellow section;

`\begin{gathered} P\lbrack\text{yellow\rbrack}=(8)/(100) \\ P\lbrack\text{yellow\rbrack}=(2)/(25) \end{gathered}`

For the red section;