#### notes

Suppose there are two events E and F where P(E)=1/3 and P(F)=2/3 , is F not the same as ‘not E’? Yes, it is. We denote the event

‘not E’ by `barE` .

So, P(E)+P(not E)=1

`P(E)+P(barE)=1`, Which gives us `P(barE)=1-P(E)` In general, it is true that for an event E,

`P(barE)=1-P(E)`

The event E , representing ‘not E’, is called the **complement** of the event E. We also say that E and E are **complementary events.**

#### Shaalaa.com | Probability of the Complement of an Event

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