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## Probability: An event not happening

Consider the situation of a bag with 3 gold(G) balls and 2 silver(S) balls.

What is:

- P(G)?
- P(not G)?

, 3 gold balls and 5 balls in total.

, 2 not gold (silver) balls and 5 balls altogether.

The important point to notice here is that the number of gold balls + number of not gold balls is equal to the total number of balls.

#### Notation

We can write P(not A) as , where the over bar means not.

Examples

If the , what is ?

If the , what is ?

If the , what is ?

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Categories: Probability

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