Define mutually exclusive Meaning and Definition
Define Mutually Exclusive
Pronunciation
/maɪˈtʊəli eksˈkluːsɪv/
Part of Speech
Adjective
Definition
Describing two or more events, statements, or circumstances that cannot occur or be true at the same time.
Examples
1. “It is impossible for the door to be both open and closed at the same time, as these states are mutually exclusive.”
2. “The survey asked respondents to choose between two mutually exclusive options: either ‘yes’ or ‘no’.”
Synonyms
1. Incompatible
2. Contradictory
Antonyms
1. Compatible
2. Interdependent
Additional Information
The concept of mutually exclusive events is fundamental in probability theory, where it is used to calculate the likelihood of multiple events occurring. In logic, mutually exclusive statements are used to create sound arguments and deductions. In everyday language, mutually exclusive options are often presented as ‘either-or’ choices, where only one option can be selected.
Mutually exclusive events are often confused with independent events. While independent events do not affect each other’s probability, mutually exclusive events cannot occur simultaneously. This distinction is crucial in statistical analysis and decision-making.
In addition to its use in logic and probability, the term ‘mutually exclusive’ has applications in various fields, including computer science, economics, and social sciences. For instance, in computer science, mutually exclusive access to resources is a common problem in concurrent programming.
Etymology
The term ‘mutually exclusive’ comes from the Latin words ‘mutuus,’ meaning ‘reciprocal,’ and ‘exclusivus,’ meaning ‘exclusive.’ The phrase has been used in English since the 17th century to describe events or statements that are incompatible or contradictory.
Usage Notes
When using the term ‘mutually exclusive,’ it is essential to ensure that the events or statements being described are indeed incompatible or contradictory. Using the term incorrectly can lead to confusion and misinterpretation.
In formal writing, such as academic or technical texts, the term ‘mutually exclusive’ is often used to describe complex relationships between events or variables. In informal writing, such as blogs or social media, the term is often used more loosely to describe everyday situations.
Cultural References
The term ‘mutually exclusive’ has appeared in various forms of popular culture, including films, literature, and music. For example, in the movie ‘The Matrix’ (1999), the protagonist Neo is faced with a mutually exclusive choice between taking a red pill or a blue pill, which determines his fate.
Idiomatic Expressions or Phrases
1. ‘Mutually exclusive’ is often used in the phrase ‘mutually exclusive options,’ which refers to choices that are incompatible or contradictory.
2. ‘Either-or’ is another common phrase that implies mutually exclusive options.
Collocations
1. ‘Mutually exclusive events’
2. ‘Mutually exclusive options’
3. ‘Mutually exclusive choices’
Frequency of Use
The term ‘mutually exclusive’ is commonly used in formal writing, particularly in academic and technical contexts. However, its use in informal writing and everyday conversation is less frequent.
Common Misspellings
1. ‘Mutualy exclusive’
2. ‘Mutually exlusive’
3. ‘Mutually exclusiv’