If P( E) =0.07 then the P ( not E ) is :

Options

A. `0.07`
B. `0.93`
C. `0.3`
D. 0

Answer

To solve the problem, we need to find the probability of the complement of event E, denoted as P(not E) or P(E'). Given that P(E) = 0.07, we can use the following steps:

### Step-by-Step Solution:

1. **Understand the relationship between P(E) and P(not E):**
The sum of the probabilities of an event and its complement is always equal to 1. This can be expressed mathematically as:
\[ P(E) + P(not E) = 1 \]

2. **Substitute the known value of P(E):**
We know that P(E) = 0.07. We can substitute this value into the equation:
\[ 0.07 + P(not E) = 1 \]

3. **Isolate 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:
\[ P(not E) = 1 - 0.07 \]

4. **Calculate P(not E):**
Now we perform the subtraction:
\[ P(not E) = 1 - 0.07 = 0.93 \]

5. **Conclusion:**
Therefore, the probability of the complement of event E is:
\[ P(not E) = 0.93 \]

### Final Answer:
P(not E) = 0.93

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