Problem #107 MEDIUM
The Simpson's Paradox Election
Paradox Statistics Logic
Problem Statement
In a city election, Party A wins 60% of votes in the North district (600 of 1000) and 90% of votes in the South district (90 of 100). Party B wins 40% in the North (400 of 1000) and 10% in the South (10 of 100). Party A wins in BOTH districts. Yet when all votes are combined: Party A has 690 of 1100 votes = 62.7%. Party B has 410 of 1100 = 37.3%. Party A wins overall too. Now swap the district sizes: North has 100 votes, South has 1000. Recalculate. Who wins each district? Who wins overall? The result will shock you.
Answer & Quick Explanation
Logged-in Users Only
You must be logged in to view the answer and check your solution. Signing up is free and takes less than a minute.
Detailed Editorial Solution
Detailed Editorial Solution is Premium
Unlock detailed step-by-step mathematical proofs, logic explanations, and company-specific interview preparation pathways.