Question

What is the probability of getting an even number on the spinner?A.5/6B.4/6C.3/6D.1/3

Answer 1

The total number of sections on the spinner indicates the sample space

`\begin{gathered} n\left(S\right)=\left\lbrace1,2,3,4,5,7\right\rbrace \\ n\left(S\right)=6 \end{gathered}`

Let the event of the spinner showing an even number be

`E_1`
`\begin{gathered} E_1=\left\lbrace2,4\right\rbrace \\ n\left(E_1\right)=2 \end{gathered}`

To figure out the probability of getting an even number on the spinner, we will use the formula below

`Pr\left(E_1\right)=(n\left(E_1\right))/(n\left(S\right))`

By substituting the values, we will have

`\begin{gathered} Pr(E_(1))=(n(E_(1)))/(n(S)) \\ Pr(E_1)=(2)/(6) \\ Pr(E_1)=(1)/(3) \end{gathered}`

Hence,

The final answer is 1/3

OPTION D is the right answer