Summary – Mutually Exclusive Events
The articles explain the concept of mutually exclusive events in probability, which are events that cannot occur at the same time. For instance, the outcome of a coin toss being either heads or tails is mutually exclusive because both outcomes cannot happen simultaneously. These events have a combined probability of zero when trying to occur together.
Furthermore, the distinction between mutually exclusive and non-mutually exclusive events is highlighted through their representation in Venn diagrams. Mutually exclusive events are represented without overlapping circles, indicating no common outcomes. In contrast, non-mutually exclusive events show overlaps in their Venn diagrams, depicting possible simultaneous occurrences.
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