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Equally likely outcomes

Equally likely outcomes are outcomes that have the same chance of happening in an experiment.

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Main explanation

Teacher explanation

This idea is very important because the basic probability formula works properly only when outcomes are equally likely. A fair coin has H and T with the same chance, and a fair die has 1 to 6 with the same chance. If the object is biased, the simple formula may not be valid in the same direct way.

Example

In a fair die throw, each face from 1 to 6 has the same chance, so the outcomes are equally likely.

Simple analogy

Same chance means equally likely.

Common confusion

Students sometimes call outcomes equally likely just because there are many outcomes, even when the object is biased.

Exam tip

Always ask first: is the coin, die, or spinner fair before applying the counting formula?

Answer writing and exam use

1-mark use

Write the exact meaning of equally likely outcomes in one clean line.

2-mark use

Define equally likely outcomes and add one example or condition.

3-mark use

Explain equally likely outcomes, show the method or example, and mention the common mistake.

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