# Uncertainty/Examples

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## Examples of Uncertainty Function

### Example 1

Let $R_1$ and $R_2$ be horseraces.

Let $R_1$ have $7$ runners:

- $3$ of which each have probability $\dfrac 1 6$ of winning
- $4$ of which each have probability $\dfrac 1 8$ of winning.

Let $R_2$ have $8$ runners:

- $2$ of which each have probability $\dfrac 1 4$ of winning
- $6$ of which each have probability $\dfrac 1 {12}$ of winning.

Then $R_1$ and $R_2$ have equal uncertainty.