What you’ll learn
Calculate theoretical probability.
Key idea
Favorable count divided by total count applies to equally likely outcomes; unequal sector areas require their stated weights.
Raw outcome counts require equal likelihood; weighted favorable area and total area are needed after the stated nonuniform change.
Worked example
Enter the exact value or ordered values in the format requested below.
A spinner has 7 equal-area sectors labeled 1 through 7. Labels 1 through 1 are favorable. Enter exact theoretical probability of a favorable spin.
- All 7 equal-area sectors are equally likely; 1 favorable sectors give 1/7=1/7.
- This is a per-spin model chance, not a guarantee of exact favorable counts in a finite number of spins.
Answer: 1/7
Quick Check
Interpret the result of 'Calculate theoretical probability' in the data-generating context, including units and population limits.
Equal-area spinner sectors1through10, favorable1through5, model probability 1/2. Interpret the chance and its finite-trial limitation.