Uniformly Chaotic

Sum of Numbers from Digits Sum of Numbers Formed from Digits Enter Digits (comma separated): Number of Digits in Each Number (r): Select Case: 1. Distinct digits, no repetition 2. Distinct digits, repetition allowed 3. Few similar digits Calculate

Ball & Box Problem Calculator Ball & Box Problem Calculator Number of Balls (m): Number of Boxes (n): Select Case: 1. Balls Different, Boxes Different 2. Balls Different, Boxes Same 3. Balls Same, Boxes Different 4. Balls Same, Boxes Same Box Condition: Boxes may be empty Boxes cannot be empty Calculate

Mathematical Analog Watch Mathematical Analog Watch Smooth second hand Light theme Mode Math expressions Classic numerals Nerd mode: 0!, √4, 3!, 2³, 3², 3×4… You know the drill.

Timed Formula Recall Challenge Timed Formula Recall Challenge Mode Name → Formula Formula → Name Time limit (s) Start Stop Press Start to begin Formula Bank Add

Inequality & Region Plotter Inequality & Region Plotter Add constraint Reset Grid Axes Scale (px/unit) Test point x y Pick on canvas Objective c₁ c₂ Maximize Minimize Enter constraints as ax + by ≤ c or ≥ c. Feasible region is shaded gold; vertices are listed below. Click “Pick on canvas” to set the test point by tapping the plot. Boundaries Feasible region Vertices Objective line Drag to pan • Scroll/pinch to zoom (mobile friendly). Ready. # x y

Conditional Probability Tree Builder Conditional Probability Tree Builder Preset None (blank) Medical test (sensitivity/specificity) Rain → Wet grass Quality control (machine defects) Apply preset Normalize all rows Reset Stage 1 branches Stage 2 branches per parent Enable Stage 3 (beta) Stage 3 uses the same child labels across all Stage 2 parents for simplicity. Query (Compute P(Target | Evidence)) Evidence Target Compute Tip: Enter probabilities as decimals; use “Normalize all rows” to make each set of siblings sum to 1. Hover/click any path to see its joint probability. Leaves Highlighted path Tree is com...

Binomial & Normal Distribution Explorer Binomial & Normal Distribution Explorer Distribution Binomial (n, p) Normal (μ, σ) n n = 20 p p = 0.50 Normal approx Continuity correction μ σ Query P(X = k) P(X ≤ k) P(X ≥ k) P(a ≤ X ≤ b) k a b Y-scale In Binomial mode, bars show PMF. Gold curve overlays the Normal approximation. Continuity correction shades half‑steps at the interval boundaries. PMF / PDF Normal approx Normal PDF Shaded probability Drag sliders, watch the shaded probability update instantly. ...

Probability Experiment Simulator Probability Experiment Simulator Experiment Coin (H/T) Single die (1–6) Two dice sum (2–12) Card suits (♠ ♥ ♦ ♣) Urn (red/blue) P(Heads) Value: 0.50 With replacement Red Blue With replacement Trials per tick Value: 100 Run Pause Step×1 Step×10 Step×100 Reset Theoretical overlay is shown in gold. Without‑replacement modes auto‑refill when resources are exhausted to keep the experiment going. Experimental Theoretical Compare bars to gold lines; watch frequencies stabilize. Ready.