Asked by Patrick O'Leary on Sep 25, 2024
Which of the following statements is correct if the events A and B have nonzero probabilities?
A) A and B cannot be both independent and disjoint
B) A and B can be both independent and disjoint
C) A and B are always independent
D) A and B are always disjoint
Disjoint Events
Disjoint events are two or more events that cannot occur simultaneously, indicating there is no overlap in their outcomes.
Nonzero Probabilities
This implies that events or outcomes have a likelihood greater than zero of occurring.
- Contrast independent events with dependent events.
- Understand the distinction between mutually exclusive (disjoint) events and non-exclusive events.
Learning Objectives
- Contrast independent events with dependent events.
- Understand the distinction between mutually exclusive (disjoint) events and non-exclusive events.