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The players critical strike chance with the currently equipped range weapon as a floating point figure.
If you are displaying this figure in a UI element and want it to update, hook to the UNIT_INVENTORY_CHANGED and SPELLS_CHANGED events as well as any other that effect equipment and buffs.
To retrieve the ranged crit chance as a two-decimal float (like 10.25), use the following function:
myRangedCrit = format("%.2f%%", GetRangedCritChance());