Feature Request: Provide Volatility Range for Outcome Distributions

[JiahuanChen]

Description

Currently, the MWI tools provides an expected outcome or average result, but it does not offer any information about the potential variability or volatility around that expectation. This makes it difficult for users to assess the risk/reward tradeoff of a given process, especially when dealing with low-probability, high-impact events like rare finds or alchemical reactions.

Suggested Improvement

It would be highly beneficial if the tool could provide a volatility range, such as:

• A confidence interval (e.g., 95% range of outcomes ( μ ± 2σ ) )
• Standard deviation or variance of the outcome

This additional information would help users better understand the possible spread of results and make more informed decisions, particularly in high-variance or exploratory contexts like alchemy and treasure hunting.

[wang-x-xia]

Will convert the rare find to a graph:

1. x-axis is the possibility, by default 0.5% per unit.
2. y-axis is the income of the possibility
3. the internal data will be for example: 0.5% -> 1 and 99.5% -> 1000