# Axiom:Sure-Thing Axiom

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## Axiom

The sure-thing axiom states that:

If a rational decision-maker $P$ would prefer:

option $1$ over option $2$ when event $A$ occurs

and:

option $1$ over option $2$ when event $A$ does not occur

then $P$ would prefer option $1$ over option $2$ in absence of any information about the occurrence or not of event $A$.