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Probability

Probability measures how likely an event is, from 0 to 1, in a defined set of equally likely outcomes — or it says the outcomes are not equally likely, which is the interesting case. Children struggle when ‘random’ means ‘fair’, or when they add probabilities that should be multiplied.

Why this concept matters

Intuition about chance is famously wrong in adults too. The classroom version is fixable with a sample space drawn out.

Misconceptions, in the order we see them

01

If it has not happened, it is due

The gambler’s fallacy, in a uniform.

02

Two events: add the chances

‘And’ vs ‘or’ was never attached to multiply vs add.

03

A probability of 0 means impossible in the real world

The model and the world are the same thing in their head.

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