Determine whether the specified paradox occurs.
-A country with two states has 75 seats in the legislature. The population of each state (in Thousands) is given by: $$\begin{array}{l}
\begin{array} { l l l l }
\hline \text { State } & \text { A } & \text { B } & \text { Total } \
\hline \text { Population } & 3184 & 8475 & 11659 \
\hline
\end{array}\
\text { A third state is added with } 2 \text { additional seats as shown below. }\
\begin{array} { l l l l l }
\hline \text { State } & \text { A } & \text { B } & \text { C } & \text { Total } \
\hline \text { Population } & 3184 & 8475 & 330 & 11989 \
\hline
\end{array}
\end{array}$$
Does the new-states paradox occur using Hamiltonʹs method of apportionment?
A) Yes
B) No

Question

Determine whether the specified paradox occurs.
-A country with two states has 75 seats in the legislature. The population of each state (in Thousands) is given by: $$\begin{array}{l}
\begin{array} { l l l l } 
\hline \text { State } & \text { A } & \text { B } & \text { Total } \
\hline \text { Population } & 3184 & 8475 & 11659 \
\hline
\end{array}\
\text { A third state is added with } 2 \text { additional seats as shown below. }\
\begin{array} { l l l l l } 
\hline \text { State } & \text { A } & \text { B } & \text { C } & \text { Total } \
\hline \text { Population } & 3184 & 8475 & 330 & 11989 \
\hline
\end{array}
\end{array}$$
Does the new-states paradox occur using Hamiltonʹs method of apportionment?
A) Yes
B) No

Quizplus · Accepted Answer

Hamilton's method of apportionment gives State A 15 seats, State B 41 seats, and State C 1 seat. State A's population is 3184 thousand, State B's population is 8475 thousand, and State C's population is 330 thousand. State A's population is less than State B's population, but State A has more seats than State B. Therefore, the new-states paradox occurs.

Determine Whether the Specified Paradox Occurs Does the New-States Paradox Occur Using Hamiltonʹs Method of Apportionment