equiprobable
Học thuậtThân thiện
Definition
Adjective: Having equal probability; equally likely to occur or be true.
Usage
The adjective "equiprobable" is used in formal, technical, and academic contexts, particularly in mathematics, statistics, probability theory, and logic. It describes a scenario where two or more possible outcomes have exactly the same chance of happening. It is a precise term and is not commonly used in everyday conversation.
Examples
- When flipping a fair coin, the outcomes "heads" and "tails" are equiprobable.
- In the model, all initial states were considered equiprobable.
- The researcher assumed equiprobable distribution among the candidate responses.
Advanced Usage
- "Equiprobable events": A standard phrase in probability theory referring to events with the same likelihood.
- Calculating the probability is straightforward when dealing with a set of equiprobable events.
- "To assume equiprobability": To base a calculation or model on the principle that all possibilities are equally likely.
- In the absence of prior data, the simplest model is to assume equiprobability.
Variants and Related Words
- Equiprobability (noun): The state or condition of being equally probable.
- The theorem relies on the principle of equiprobability.
Synonyms
- Equally likely: (More common phrasing) Having the same probability.
- Even odds: (Idiomatic, often in gambling) A situation where the chance of winning or losing is equal.
Different Meanings
"Equiprobable" has a single, specific meaning related to equal probability. It does not have other distinct definitions.