Question

If \( \frac{2}{11} \) is the probability of an event, what is the probability of the event 'not A'?

Hint:

The probability of the complement event is found by subtracting the given probability from 1.

Answer 1

Step 1: Understand the probability of the complement event.
The probability of the complement of an event \( A \), denoted \( P(\text{not A}) \), is given by: \[ P(\text{not A}) = 1 - P(A) \]
Step 2: Substitute the given probability.
We are given that \( P(A) = \frac{2}{11} \). Therefore: \[ P(\text{not A}) = 1 - \frac{2}{11} \]
Step 3: Simplify the expression.}
\[ P(\text{not A}) = \frac{11}{11} - \frac{2}{11} = \frac{9}{11} \]