1) 1/8
2) 1/2
Step-by-step explanation:
1)
First of all, we notice that the spinner is divided into 8 sections of equal size.
So the number of sections is
n = 8
Secondly, we note that each section has the same size: this means that the probability of the spinner landing on each section is the same.
The probabilty of a certain event A to occur is given by
[tex]p(A)=\frac{a}{n}[/tex]
where
a is the number of successfull outcomes (in which A occurs)
n is the total number of possible outcomes
Here we want to find
[tex]p(7)[/tex] = probability that the spinner lands on section 7
Here we have:
[tex]a=1[/tex] (only 1 outcome is successfull: the one in which the spinner lands on section 7)
[tex]n=8[/tex]
Therefore, the probability is
[tex]p(7)=\frac{1}{8}[/tex]
2)
Here we want to find the probability that the spinner lands on an even numbered section.
As before, the total number of possible outcomes his:
[tex]n=8[/tex]
which corresponds to: 1, 2, 3, 4, 5, 6, 7, 8
The even-numbered sections are:
2, 4, 6, 8
So, the number of successfull outcomes is
[tex]a=4[/tex]
Because there are only 4 even-numbered sections.
Therefore, the probability that the spinner lands on an even numbered section is:
[tex]p(e)=\frac{a}{n}=\frac{4}{8}=\frac{1}{2}[/tex]
