# Technical Document Extraction: Probability Distribution over LLM's Text Tokens
## Title
- **Title**: "Probability Distribution over the LLM's Text Tokens"
## Axes Labels and Ranges
- **X-Axis (Horizontal)**:
- **Label**: "Tokens Index"
- **Range**: 0 to 120,000 (in increments of 20,000)
- **Key Markers**: 0, 20,000, 40,000, 60,000, 80,000, 100,000, 120,000
- **Y-Axis (Vertical)**:
- **Label**: "Probability"
- **Range**: 0.000 to 0.012 (in increments of 0.002)
- **Key Markers**: 0.000, 0.002, 0.004, 0.006, 0.008, 0.010, 0.012
## Data Series and Trends
- **Line Characteristics**:
- **Color**: Light blue (no legend present; single data series)
- **Behavior**:
1. **Initial Peak**: Starts at approximately `x=0` with a probability of **~0.0115**.
2. **Sharp Decline**: Drops rapidly to **~0.0002** by `x=10,000`.
3. **Fluctuations**: Maintains minor oscillations between **~0.0001** and **~0.0003** for `x > 10,000`, with occasional peaks reaching **~0.0003** (e.g., at `x=100,000` and `x=120,000`).
## Key Data Points
| Tokens Index | Probability |
|--------------|-------------|
| 0 | ~0.0115 |
| 10,000 | ~0.0002 |
| 20,000 | ~0.00025 |
| 40,000 | ~0.00022 |
| 60,000 | ~0.00028 |
| 80,000 | ~0.00024 |
| 100,000 | ~0.0003 |
| 120,000 | ~0.00025 |
## Observations
- **Dominant Trend**: The probability distribution is highly skewed, with a single dominant token (`x=0`) accounting for the majority of the probability mass.
- **Long-Tail Behavior**: After the initial drop, probabilities remain low but exhibit minor variability across the remaining tokens.
- **No Additional Data Series**: No legends, secondary lines, or annotations are present.
## Structural Notes
- **Header**: Title centered at the top.
- **Main Chart**: Occupies the majority of the image, with axes labeled and scaled as described.
- **Footer**: No textual or graphical elements present.
## Conclusion
The graph illustrates a probability distribution where the first token dominates, followed by a near-uniform distribution of negligible probabilities across subsequent tokens. No legends or additional contextual text are provided.
