If `P(A) = 2/3, P(B) = 4/9 " and " P(AcapB)=4/5,` then find the value of `P(AcupB) " and " P(A'capB')`.

Explanation

To solve the problem, we need to find \( P(A \cup B) \) and \( P(A' \cap B') \) given the probabilities \( P(A) = \frac{2}{3} \), \( P(B) = \frac{4}{9} \), and \( P(A \cap B) = \frac{4}{5} \).

### Step 1: Calculate \( P(A \cup B) \)

We use the formula for the probability of the union of two events:

\[
P(A \cup B) = P(A) + P(B) - P(A \cap B)
...