Given the spinner that goes from 1 to 8, you can identify that the total number in the spinner is:
[tex]TotalNumbers=8\text{ }[/tex]a. By definition, Odds Numbers are those numbers that are not divisible by 2.
In this case, you can identify that the Odd Numbers the spinner has are:
[tex]1,3,5,7[/tex]Knowing that there are four Odd Numbers, you can determine that:
[tex]P(odds)=\frac{4}{8}[/tex][tex]P(odds)=\frac{1}{2}[/tex]b. By definition, Even Numbers are divisible by 2.
In this case, you can identify that the Even Numbers in the spinner are:
[tex]2,4,6,8[/tex]Knowing that there are four Even Numbers, you get:
[tex]P(evens)=\frac{4}{8}[/tex][tex]P(evens)=\frac{1}{2}[/tex]c. Since there is only one number 3:
[tex]P(3)=\frac{1}{8}[/tex]d. By definition:
[tex]P(A\text{ or}B)=P(A)+P(B)[/tex]Then:
[tex]P(4\text{ or }6)=P(4)+P(6)[/tex]Since there is only one number 4 and only one number 6:
[tex]P(4)=P(6)=\frac{1}{8}[/tex]Therefore:
[tex]P(4\text{ or }6)=\frac{1}{8}+\frac{1}{8}[/tex][tex]P(4\text{ or }6)=\frac{2}{8}[/tex][tex]P(4\text{ or }6)=\frac{1}{4}[/tex]e. Since there is only one number 7:
[tex]P(7)=\frac{1}{8}[/tex]f. Knowing that there is only one number 1:
[tex]P(1)=\frac{1}{8}[/tex]Hence, the answers are:
a.
[tex]P(odds)=\frac{1}{2}[/tex]b.
[tex]P(evens)=\frac{1}{2}[/tex]c.
[tex]P(3)=\frac{1}{8}[/tex]d.
[tex]P(4\text{ or }6)=\frac{1}{4}[/tex]e.
[tex]P(7)=\frac{1}{8}[/tex]f.
[tex]P(1)=\frac{1}{8}[/tex]