Prove that if E and F are independent events, then so are the events E and F.

Explanation

To prove that if events E and F are independent, then events E and F' (the complement of F) are also independent, we can follow these steps:

### Step-by-Step Solution:

1. **Understanding Independence**:
By definition, two events E and F are independent if:
\[
P(E \cap F) = P(E) \cdot P(F)
...