Determine whether the specified paradox occurs.
-A small country consists of 7 provinces with the following populations: $$\begin{array} { l l l l l l l l }
\hline \text { Province } & \text { A } & \text { B } & \text { C } & \text { D } & \text { E } & \text { F } & \text { G } \
\hline \text { Population } & 25,312 & 19,734 & 33,407 & 29,591 & 13,288 & 22,751 & 31,992 \
\hline
\end{array}$$ There are 300 federal judges to be apportioned according to the population of each province. Does The Alabama paradox occur using Hamiltonʹs method if the number of judges is increased from 300 to 301?
A) Yes
B) No

Question

Determine whether the specified paradox occurs.
-A small country consists of 7 provinces with the following populations: $$\begin{array} { l l l l l l l l } 
\hline \text { Province } & \text { A } & \text { B } & \text { C } & \text { D } & \text { E } & \text { F } & \text { G } \
\hline \text { Population } & 25,312 & 19,734 & 33,407 & 29,591 & 13,288 & 22,751 & 31,992 \
\hline
\end{array}$$ There are 300 federal judges to be apportioned according to the population of each province. Does The Alabama paradox occur using Hamiltonʹs method if the number of judges is increased from 300 to 301?
A) Yes
B) No

Quizplus · Accepted Answer

The Alabama paradox occurs when increasing the total number of items to be apportioned results in a state or province receiving fewer items than before the increase. In Hamilton's method, the initial allocation of judges is based on each province's standard divisor (total population divided by total judges) and then distributing the remaining judges based on the largest fractions of unallocated judges. Increasing the total number of judges from 300 to 301 would not result in any province receiving fewer judges than it initially did, as the additional judge would simply be allocated to the province with the next largest fractional remainder. Therefore, the Alabama paradox does not occur in this scenario.

Determine Whether the Specified Paradox Occurs There Are 300 Federal Judges to Be Apportioned According to Following