Answer:
[tex]p(E)=\frac{1}{12}[/tex]
Explanation:
Given:
Side of the cube = 12
event = 5
Solution:
Using probability formula.
[tex]p(E)=\frac{n(E)}{n(S)}[/tex]
Where:
p(E) = Probability of an event
n(E) = Favourable event
n(S) = Sample space
Sample space of a 12 sided cube that is numbered from 1 to 12.
Sample space = {1,2,3,4,5,6,7,8,9,10,11,12}
[tex]n(S)=12[/tex]
Favourable event = {5}
[tex]n(E) = 1[/tex]
So the probability of rolling a 5.
[tex]p(E)=\frac{1}{12}[/tex]
Therefore, the probability of rolling a cube for event 5 is [tex]p(E)=\frac{1}{12}[/tex]