Disjoint and Exhaustive Events

Events

are disjoint and exhaustive if the E_i's are mutually exclusive and one of these events must occur when the random experiment is performed.

Notes:

• Events that are disjoint and exhaustive partition the sample space.
• As an example, suppose we roll a dice once and observe the number of spots on the top face. Let E_i denote the event that i spots are observed. Then, the E_i's are disjoint and exhaustive.