Given that a person has attended college,
we want to find the probability that the person has a Moderate political ideology:
We have that the probability is given by:
[tex]P\mleft(moderate|college\mright)=\frac{\text{moderate and college}}{\text{college}}\text{ }[/tex]We have that the number of voters that have a Moderate ideology that have gone to college is 20.
moderate and college = 20
The number of voters that have gone to college is 17 + 20 + 17 = 54
college = 54
Then,
[tex]\begin{gathered} P\mleft(moderate|college\mright)=\frac{\text{moderate and college}}{\text{college}}\text{ } \\ \downarrow \\ P(moderate|college)=\frac{20}{54} \end{gathered}[/tex]simplifying the answer:
[tex]\frac{20}{54}=\frac{10}{27}[/tex]
