Ultimate Lottery Picker (Mobile-Friendly)

This application downloads the “Lottery Powerball Winning Numbers: Beginning 2010” CSV file from New York’s data site, parses the data, and then applies multiple advanced mathematical analyses with extensive reasoning. It shows the most recent draw (so you know the data is real‑time) and renders several interactive graphs to understand the results.

Disclaimer: Lottery draws are random and independent. Our analyses (weighted frequency, overdue analysis, and their consensus) are for fun only—they cannot overcome pure chance.

More Verbose Math Explanations

1. General Overview of the Lottery:
   Each draw is random and independent. Despite that, it's fun to look for patterns 
   in past data, hoping to catch "hot" or "overdue" numbers. Our methods try to highlight 
   these potential patterns, even though none can truly "beat" randomness.

2. Weighted Frequency Analysis:
   We give each past draw a "weight" that increases exponentially from oldest to newest. 
   Specifically, for draw i (where i=0 is the oldest), 
     weight(i) = exp((i / totalDraws) * ln(2)). 
   - This means the oldest draw has weight ~1, and the newest draw has weight ~2.
   - We then sum these weights for each number (white and red). 
   - A white ball that appears in a highly weighted draw receives more "points" toward 
     its frequency count. This tries to capture short-term "hot streaks."
   - We do a math check to ensure that our total weight sum is between "totalDraws" 
     (if every draw had weight=1) and "2 * totalDraws" (if every draw had weight=2).

3. Overdue Analysis:
   We measure how many draws have passed since each number last appeared. 
   - For every number, we find its last appearance index. If it never appeared, 
     we consider that "overdue" for all draws. 
   - We consider those with the largest gap (most draws since last appearance) 
     as the most "overdue."
   - Although mathematically each draw is independent, many players enjoy the 
     idea that something that hasn't come up for a while might be "due."

4. Combined Analysis (Consensus):
   We combine the two methods by:
   - Checking which white ball picks appear in both sets (common "hot" or "overdue" picks).
   - Filling the rest of the 5 white balls from the Weighted Frequency method 
     (prioritizing recency).
   - For the red ball, we pick from Weighted Frequency to remain consistent.

5. Why We Do These Checks:
   - The Weighted Frequency and Overdue methods are two common ways lottery enthusiasts 
     interpret past results:
     • Weighted Frequency tries to highlight numbers that have been "hot" recently.
     • Overdue tries to highlight numbers that haven't appeared in a while.
   - By comparing them, we aim for a "best of both worlds" approach, even though 
     there's no statistical proof that this gives an edge in a random game.
        

Most Recent Draw

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Prediction Results

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Analysis Log

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White Ball Weighted Frequency Distribution

White Ball Overdue Distribution

Combined White Ball Analysis: Frequency vs. Overdue

Red Ball Frequency Distribution