Equal and Weighted Wheel Probabilities

An equal wheel gives every listed row the same chance. Weighted mode lets one row occupy a larger share of the probability without duplicating its label. The useful part is the rule, not the visual size: each entry’s probability is its weight divided by the total of all weights.

A three-entry example

Suppose a wheel contains:

Entry	Weight
Red	1
Blue	2
Green	1

The total weight is 4. Red receives 1/4, Blue receives 2/4, and Green receives 1/4. In percentage terms:

• Red: 25%
• Blue: 50%
• Green: 25%

Changing Blue from weight 2 to weight 4 would make the total 6, not 5. The new probability would be 4/6, or about 66.7%.

Using the controls

Turn on Weighted mode in the settings panel. A numeric weight field appears next to each entry. WheelOSpin treats weights below 0.1 as 0.1 so every visible row remains selectable. Use positive values and check the list before spinning.

Weights do not need to add to 100. The values 1, 2, 1 produce the same proportions as 10, 20, 10. Simple whole numbers are easier for an audience to understand.

Weights versus duplicate rows

Adding Blue twice to an equal wheel also gives Blue two positions. That can produce the same mathematical chance as weight 2, but it has practical drawbacks:

• the list appears to contain a duplicate;
• the wheel displays Blue in multiple segments;
• removing one winning row may leave another Blue entry active;
• an audience may not know whether the duplication was intentional.

Weighted mode keeps one row per outcome and makes the rule explicit. Duplicate rows are still useful when the rows represent distinct tickets that happen to have the same label, but unique ticket identifiers are clearer for a real draw.

Why two dice need weights

The total of two fair six-sided dice is not uniform. There is one combination that produces 2 (1+1) and six combinations that produce 7:

Total:   2  3  4  5  6  7  8  9 10 11 12
Weight:  1  2  3  4  5  6  5  4  3  2  1

The weights sum to 36, matching the 36 ordered outcomes of two dice. Therefore:

• total 2 has probability 1/36;
• total 7 has probability 6/36, or 1/6;
• total 12 has probability 1/36.

A wheel containing each total once would make 2 and 7 equally likely, which would not model two physical dice. WheelOSpin’s double-dice preset now stores the 1–6–1 weight pattern above.

Decide the weighting rule before the spin

Weights can be useful for differentiated practice, rotating tasks, or choosing among options with agreed preferences. They can also make a process look unfair if changed silently.

For any group use:

1. show the active entries;
2. explain what the weights represent;
3. let participants check the values;
4. avoid changing the list after the draw begins;
5. state whether winners remain eligible.

Weighted randomness cannot decide whether the rule itself is fair. That remains a human policy choice.

Reading the statistics panel

The panel reports what happened in the local session. It does not guarantee that observed percentages will immediately match the configured probabilities. A 50% entry can win seven of ten spins without a defect. Over many independent draws, observed proportions often move closer to configured probabilities, but no short sequence is required to look balanced.

Use the displayed weights to explain intended probability and the history only to describe completed spins. Do not change future odds because an outcome seems “due.”