If A and B are two events such that `P (A) =1/4`, `P(B) =1/2`and `P(AnnB)=1/8`, find P (not A and not B).

Explanation

To solve the problem, we need to find the probability of the event "not A and not B", denoted as \( P(\overline{A} \cap \overline{B}) \). We can use the relationship between the complements and unions of events.

### Step-by-Step Solution:

1. **Understanding the Complement**:
We know that:
\[
P(\overline{A} \cap \overline{B}) = P((A \cup B)') = 1 - P(A \cup B)
...