Given information-

We have given the table gives the breakdown of a town's population according to party affiliation (A, B, C, or None) and opinion on a property tax issue.

We have to find the probability that the person is affiliated with parties A or B. \(\begin{array}{|c|c|c|}\hline \text{Affiliation}&\text{Favors}&\text{Opposes}&\text{Undecided}&\text{Total}\\\hline \text{A} &0.12&0.09&0.07&0.28\\ \hline \text{B}&0.16&0.12&0.14&0.42 \\ \hline \text{C}&0.04&0.03&0.06&0.13\\ \hline \text{None}&0.08&0.06&0.03&0.17\\ \hline \text{Total}&0.4&0.3&0.3&1 \\ \hline \end{array}\\\)

Step 2

So,

\(P(A)=0.28, P(B)=0.42\)

Since both are independent events.

\(P(\text{the person is affiliated with parties A or B})=P(A)+P(B)\)

\(P(\text{the person is affiliated with parties A or B})=0.28+0.42=0.70\)

Hence , the probability that the person is affiliated with parties A or B is 0.70