Sets Probability makes extensive use of set operations. A set is a collection of objects,which are the elements of the set. ■x∈S:S is a set and x is an element of S xS:x is not an element of S. ■ 0:A set that has no elements;called empty set.Sets Probability makes extensive use of set operations. A set is a collection of objects, which are the elements of the set. 𝑥 ∈ 𝑆: 𝑆 is a set and 𝑥 is an element of 𝑆 𝑥 ∉ 𝑆: 𝑥 is not an element of 𝑆. ∅: A set that has no elements; called empty set