Interactive numeric dial for dice rolls, lottery numbers (1-100), D20 tabletop gaming, and raffles
Quickly select a standard numeric interval or enter a custom integer range to instantly populate the 120 FPS wheel.
| Slice Segment Name | Assigned Weight | Calculated Odds (%) | Fractional Odds | Angular Span |
|---|---|---|---|---|
| Number 1 | 1 | 16.67% | 1 in 6.0 | 60.0° |
| Number 2 | 1 | 16.67% | 1 in 6.0 | 60.0° |
| Number 3 | 1 | 16.67% | 1 in 6.0 | 60.0° |
| Number 4 | 1 | 16.67% | 1 in 6.0 | 60.0° |
| Number 5 | 1 | 16.67% | 1 in 6.0 | 60.0° |
| Number 6 | 1 | 16.67% | 1 in 6.0 | 60.0° |
The Random Number Generator Wheel partitions discrete integer intervals [1, N] into equiprobable sectors with 1/N exact mathematical probability per spin.
The Random Number Generator Wheel is an interactive graphical implementation of a discrete uniform random variable generator. By transforming mathematical interval parameters into visual angular slices, it bridges statistical rigor with engaging kinetic interaction.
The randomization architecture behind Random Number Generator Wheel follows a deterministic multi-stage evaluation pipeline to ensure complete unpredictability and uniform probability distribution:
The user defines an integer interval $[A, B]$ containing $N = B - A + 1$ discrete values.
A hardware entropy value $R \in [0, 2^{32}-1]$ is drawn and mapped via $X = A + (R \pmod N)$ to ensure an equiprobable sample space.
Each discrete number occupies an exact sector angle $\theta = \frac{2\pi}{N}$ radians with high-contrast color alternating swatches.
Physics deceleration lands the pointer on the target slice, outputting the result with a verifiable SHA-256 seed hash.
For a discrete uniform distribution over the set {1, 2, ..., n}, the probability mass function is P(X = x) = 1/n. The theoretical mean is E[X] = (n+1)/2 and the variance is Var(X) = (n^2 - 1)/12. As sample size k approaches infinity, the relative frequency of each outcome approaches 1/n within epsilon-tolerance.
Where P(E_i) denotes the probability of landing on segment i, w_i represents the assigned discrete integer weight, and θ_i represents the continuous angular arc length in radians.
In a discrete uniform distribution, every integer in the set $\{1, 2, \dots, N\}$ has an identical probability $P(X = k) = \frac{1}{N}$.
Each spin draws a completely independent cryptographic seed from the OS entropy pool. Past spins exert zero influence on future outcomes.
Rolling virtual D4, D6, D8, D10, D12, D20, and D100 dice with animated visual suspense.
Demonstrating empirical probability distributions, histograms, and the Law of Large Numbers.
Drawing winning ticket numbers transparently on live stream with provable fairness hashes.
Direct answers to questions regarding ranges, dice simulations, and cryptographic randomness
Click on the '⚡ Presets' tab and select '1 to 100 Lottery Number Wheel', or enter numbers 1 through 100 into the text box. The wheel will instantly render 100 proportional slices ready to spin.
Yes. The default preset loads a standard 1 to 6 numeric dial with equal 16.67% odds for each face, ideal for tabletop board games like Monopoly, Catan, or Yahtzee.
Yes. Our engine draws 32-bit unsigned integers via the W3C Web Cryptography API (crypto.getRandomValues). It provides uniform statistical distribution without algorithmic clustering, making it suitable for official giveaways and raffles.
Yes. Enable Elimination Mode via the top toggle ribbon. Once a number is selected, it will be automatically removed from the wheel for subsequent rounds.
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