when the messages have equal probabilities vs when the events have equal probabilities

Both phrases are correct, but they are used in different contexts. 'When the messages have equal probabilities' is used when referring to communication or information theory, while 'when the events have equal probabilities' is used in a more general context of probability theory.

Last updated: March 08, 2024 • 485 views

when the messages have equal probabilities

This phrase is correct and commonly used in the context of communication or information theory.

This phrase is used in the context of communication or information theory when referring to situations where different messages have the same probability of occurrence.

Examples:

In a binary communication system, when the messages have equal probabilities, the channel capacity is maximized.

Alternatives:

when the messages are equiprobable
when the messages are equally likely

when the events have equal probabilities

This phrase is correct and commonly used in the context of probability theory.

This phrase is used in the context of probability theory when referring to situations where different events have the same probability of occurring.

Examples:

In a fair six-sided die, when the events have equal probabilities, each face has a 1/6 chance of being rolled.

Show examples from the web [+]

n events is log n bits and is attained when the events have equal probabilities. 5. (Source mixing) Prof. Babble is writing a mathematical paper that is a ...

Alternatives:

when the outcomes have equal probabilities
when the possibilities have equal probabilities

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when the messages have equal probabilities vs when the events have equal probabilities