If `3/11` is the probabililty of an event A, then the probability of the event not A is……………….

Answer

To solve the problem, we need to find the probability of the event not A, given that the probability of event A is \( \frac{3}{11} \).

### Step-by-Step Solution:

1. **Understand the total probability**: The total probability of all possible outcomes in a probability space is always 1. This means that the probability of an event occurring plus the probability of it not occurring equals 1.
\[ P(A) + P(\text{not } A) = 1 \]

2. **Identify the given probability**: We know from the problem that:
\[ P(A) = \frac{3}{11} \]

3. **Set up the equation**: We can express the probability of not A as:
\[ P(\text{not } A) = 1 - P(A) \]

4. **Substitute the known value**: Now, substitute \( P(A) \) into the equation:
\[ P(\text{not } A) = 1 - \frac{3}{11} \]

5. **Convert 1 into a fraction**: To perform the subtraction, convert 1 into a fraction with a common denominator:
\[ 1 = \frac{11}{11} \]

6. **Perform the subtraction**: Now, subtract \( \frac{3}{11} \) from \( \frac{11}{11} \):
\[ P(\text{not } A) = \frac{11}{11} - \frac{3}{11} = \frac{11 - 3}{11} = \frac{8}{11} \]

7. **Conclusion**: Therefore, the probability of the event not A is:
\[ P(\text{not } A) = \frac{8}{11} \]

### Final Answer:
The probability of the event not A is \( \frac{8}{11} \).

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