What you’ll learn
Represent compound events using tables.
Key idea
An outcome cell is an intersection, not an isolated row or column label; completeness requires every pair once.
Completeness requires every ordered pair; a table without a chance model does not establish uniformity.
Worked example
Enter the exact value or ordered values in the format requested below.
First-stage labels ['A1', 'A2', 'A3', 'A4', 'A5'] cross second-stage labels ['B1', 'B2']. Complete outcome table: row/B1,B2 | A1: (A1,B1),(A1,B2) | A2: (A2,B1),(A2,B2) | A3: (A3,B1),(A3,B2) | A4: (A4,B1),(A4,B2) | A5: (A5,B1),(A5,B2). Enter total outcome cells.
- The table uses 5 first-stage rows and 2 second-stage columns; every intersection is a distinct ordered pair.
- All rows give 10 cells; omitting row A5 drops 2 outcomes. Table completeness alone does not assert equal probabilities.
Answer: 10
Quick Check
Interpret the result of 'Represent compound events using tables' in the data-generating context, including units and population limits.
Interpret this compound-outcome table for first labels ['A1', 'A2', 'A3', 'A4', 'A5'] and second labels ['B1', 'B2']: row/B1,B2 | A1: (A1,B1),(A1,B2) | A2: (A2,B1),(A2,B2) | A3: (A3,B1),(A3,B2) | A4: (A4,B1),(A4,B2) | A5: (A5,B1),(A5,B2). Explain complete pairing without assuming a probability model.