Uncertainty/Examples

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.