Step 1 :The set in question is the set of numbers on a traditional die, which are {1, 2, 3, 4, 5, 6}. This set has 6 elements.
Step 2 :The number of subsets of a set is given by the formula \(2^n\), where n is the number of elements in the set.
Step 3 :In this case, n = 6. So, we need to calculate \(2^6\).
Step 4 :\(2^6 = 64\)
Step 5 :Final Answer: The number of subsets of the set \(\{x \mid x\) is a number on a traditional die \(\}\) is \(\boxed{64}\).