Complete the following statement :
`P ( barE) `= …………… -P ( E)

Options

A. 1
B. 2
C. 0
D. -1

Answer

To complete the statement \( P(\bar{E}) = \ldots - P(E) \), we need to understand the relationship between the probability of an event and the probability of its complement.

### Step-by-Step Solution:

1. **Understanding Complementary Events**:
The complement of an event \( E \), denoted as \( \bar{E} \), includes all outcomes that are not in \( E \).

2. **Probability of Complements**:
The sum of the probabilities of an event and its complement is always equal to 1. This can be expressed mathematically as:
\[ P(E) + P(\bar{E}) = 1 \]

3. **Rearranging the Equation**:
To find \( P(\bar{E}) \), we can rearrange the equation:
\[ P(\bar{E}) = 1 - P(E) \]

4. **Final Statement**:
Thus, we can complete the statement as follows:
\[ P(\bar{E}) = 1 - P(E) \]

### Completed Statement:
\[ P(\bar{E}) = 1 - P(E) \]