If `4/11` is the probabililty of an event A what is the probability of the event not A.

Answer

To find the probability of the event NOT A, we can follow these steps:

### Step-by-Step Solution:

1. **Identify the Probability of Event A**:
We are given that the probability of event A, denoted as P(A), is \( \frac{4}{11} \).

2. **Use the Complement Rule**:
The probability of the event NOT A, denoted as P(NOT A), can be found using the complement rule. The rule states that the sum of the probabilities of an event and its complement is equal to 1. Mathematically, this is expressed as:
\[ P(A) + P(NOT A) = 1 \]

3. **Rearrange the Equation**:
To find P(NOT A), we can rearrange the equation:
\[ P(NOT A) = 1 - P(A) \]

4. **Substitute the Value of P(A)**:
Now, substitute the value of P(A) into the equation:
\[ P(NOT A) = 1 - \frac{4}{11} \]

5. **Calculate the Probability**:
To perform the subtraction, convert 1 into a fraction with a denominator of 11:
\[ 1 = \frac{11}{11} \]
Now, subtract:
\[ P(NOT A) = \frac{11}{11} - \frac{4}{11} = \frac{11 - 4}{11} = \frac{7}{11} \]

6. **Final Answer**:
Therefore, the probability of the event NOT A is:
\[ P(NOT A) = \frac{7}{11} \]