equal probability

USAGE SUMMARY

The phrase "equal probability" is correct and usable in written English.
It can be used in contexts such as statistics, probability theory, or any situation where outcomes are equally likely. Example: "In a fair coin toss, there is an equal probability of landing on heads or tails."

✓ Grammatically correct

Science

News & Media

Human-verified examples from authoritative sources

Exact Expressions

60 human-written examples

Assume for simplicity that each percentage split has equal probability.

The Economist

They are generated with equal probability.

EURASIP Journal on Wireless Communications and Networking

Assuming equal probability for each transmitted symbol per transmitter, (19).

EURASIP Journal on Wireless Communications and Networking

Generally, the probability events follow an equal probability distribution, giving.

EURASIP Journal on Wireless Communications and Networking

The halogen reaction executes chlorination or bromination with equal probability.

Journal of Cheminformatics

random variables taking values from ± 1 with equal probability.

EURASIP Journal on Wireless Communications and Networking

Interestingly, ascriptions of equal probability seem to be rare before the sixteenth century.

SEP

For a finite number of hypotheses, indifference means that every hypothesis gets equal probability.

SEP

Well the answer is anywhere in the Universe with equal probability.

BBC

Hence, doubt should not straightforwardly be equated with equal probability, in particular in medieval scholasticism.

SEP

An even better lottery would yield either (0,0) or (1,1) with equal probability.

SEP

Expert writing Tips

Best practice

When describing experimental designs or simulations, use "equal probability" to clearly indicate that each outcome or choice has the same chance of occurring, ensuring transparency and reproducibility.

Common error

Avoid assuming that "equal probability" guarantees a perfectly uniform distribution in small sample sizes. Random fluctuations can still occur, so always consider the sample size when interpreting results.

Linguistic Context

The phrase "equal probability" functions as a descriptor, specifying a condition where multiple outcomes or events have the same chance of occurring. Ludwig examples show it is often used in scientific and statistical contexts to describe assumptions or results.

Expression frequency: Very common

Frequent in

Science

75%

News & Media

15%

Formal & Business

10%

Less common in

Encyclopedias

0%

Wiki

0%

Reference

0%

Ludwig's WRAP-UP

In summary, "equal probability" is a grammatically correct and frequently used phrase that denotes a state where multiple outcomes have the same likelihood of occurring. As Ludwig AI indicates, it's commonly employed in scientific and statistical domains to establish baseline assumptions or describe unbiased systems. While alternatives like "uniform probability" and "equal likelihood" exist, "equal probability" provides a clear and widely understood means of conveying fairness and impartiality in various contexts. Remember to consider sample size when interpreting results and avoid conflating it with guaranteed uniform distribution in small samples.

More alternative expressions

Phrases that express similar concepts, ordered by semantic similarity:

uniform probability

Emphasizes the consistent nature of the probability distribution.

equal likelihood

Replaces "probability" with "likelihood", a synonym in this context.

equiprobability

A more formal, single-word alternative.

same probability

Highlights the identical nature of the probabilities.

identical probability

Stresses the precise match in probability values.

equivalent probability

Indicates that the probabilities are functionally the same.

balanced probability

Suggests a state of equilibrium or even distribution.

fifty-fifty chance

Specifically refers to two outcomes with equal probability.

even chance

A common idiom for equal likelihood, often in informal contexts.

indistinguishable probability

Focuses on the inability to differentiate between the probabilities.

FAQs

How can I use "equal probability" in a sentence?

You can use "equal probability" to describe scenarios where different outcomes have the same chance of occurring, for example, "In a fair lottery, each ticket has an "equal probability" of winning".

What is a good alternative to "equal probability"?

Alternatives include "equal likelihood", "uniform probability", or "even chance", depending on the context.

Is "equal probability" the same as "random selection"?

"Random selection" often aims for "equal probability", but it's the process, not the outcome. "Equal probability" describes the outcome where each item has an equal chance of being chosen.

What does "assuming equal probability" mean?

Assuming "equal probability" means that, for the purpose of a model or calculation, you are treating all possible outcomes as equally likely, even if this is a simplification.