If P(E) = 0.005, then find the probability of ''not E'.

Answer

To find the probability of "not E" given that P(E) = 0.005, we can follow these steps:

### Step-by-Step Solution:

1. **Understand the relationship between P(E) and P(not E)**:
The probability of an event and the probability of its complement (not the event) always add up to 1. This can be expressed as:
\[ P(E) + P(\text{not } E) = 1 \]

2. **Substitute the known value**:
We know that P(E) = 0.005. We can substitute this value into the equation:
\[ 0.005 + P(\text{not } E) = 1 \]

3. **Solve for P(not E)**:
To find P(not E), we need to isolate it on one side of the equation. We can do this by subtracting P(E) from both sides:
\[ P(\text{not } E) = 1 - 0.005 \]

4. **Calculate the result**:
Now, perform the subtraction:
\[ P(\text{not } E) = 1 - 0.005 = 0.995 \]

5. **Final Answer**:
Therefore, the probability of "not E" is:
\[ P(\text{not } E) = 0.995 \]