Independent events have probabilities of occurring that
don’t rely on each other. For example, if I roll two dice, the number I get on
the first die doesn’t affect what number I get on the second die. They are *independent*
events. Another example is flipping several coins at once. Say I get ‘heads’
on one coin. Does this affect at all what I get for the other coins? No! So
these events – the face I get on each coin – are all independent of each other.

We can use proper mathematical notation to define what must happen for two events to be independent:

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If we have two events, A and B, then this has to be true:

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In English this means that if the two events are independent, I can calculate the probability of them both happening by simply multiplying the probabilities of each one happening by itself.