Mutually Exclusive Events Probability Rules
We use the following rules for simplifying the mutually exclusive events such as if A and b are two mutually exclusive events then,
- Addition Rule: P (A + B) = 1
- Subtraction Rule: P (A U B)’ = 0
- Multiplication Rule: P (A ∩ B) = 0
Simple events which only have one [possible outcome are always mutually exclusive to other simple events.
Mutually Exclusive Events
We define mutually exclusive events as events that can never happen simultaneously, i.e. happening an event rules out the possibility of happening the other event. Suppose a cricket match between India and Pakistan can result in the winning of any one team and the loss of the other team both teams can never win the match simultaneously, i.e. if Pakistan wins the match then India definitely loses the match and if India wins the match Pakistan definitely loses the matches thus, we can say Winning of India and Winning of Pakistan both are mutually exclusive events. And occurring one event definitely rules the probability of the other event.
Let’s learn more about mutually exclusive events, their formula, the Venn diagram, and others in detail in this article.
Table of Content
- Mutually Exclusive Events Definition
- How to Calculate Mutually Exclusive Events?
- Probability of Mutually Exclusive Events OR Disjoint Events
- Mutually Exclusive Events Venn Diagram
- Mutually Exclusive Events Probability Rules
- Conditional Probability for Mutually Exclusive Events