Question

E is an event and $P(notE)=0.4$Find$P\left(E\right)$.

Short answer

The probability is$P\left(E\right)=0.6$.

Step-by-step solution

Step 1. Given information.

The given statement is:

E is an event and$P\left(notE\right)=0.4$.

Step 2. Find PE.

The event [not A], i.e. the event in which A does not happen, is the complement of any event A. Events A and [not A] are mutually exclusive as well as exhaustive.

Therefore,

$$\begin{gathered} P\left(E\right)=1-P\left(notE\right) \\ P\left(E\right)=1-0.4 \\ =0.6 \end{gathered}$$