Question:
Which of the following cannot be the probability of occurrence of an event?
(i) 0
(ii) $\frac{-3}{4}$
(iii) $\frac{3}{4}$
(iv) $\frac{4}{3}$
Solution:
(ii) and (iv) can’t be the probability of occurrence of an event. So, (ii) and (iv) are the answers to our question.
Explanation: We know that,
$0 \leq$ probability $\leq 1$ i.e. probability can vary from 0 to 1 (both are inclusive)
So, (i) 0 can be possible as $0 \leq$ probability $\leq 1$
(ii) $-\frac{3}{4}$ is not possible as it is less than 0
(iii) $\frac{3}{4}$ is possible as $0 \leq$ probabilty $\leq 1$
(iv) ${ }^{\frac{4}{3}}$ is not possible as it is greater than 1
Conclusion: ${ }^{\frac{4}{3}}$ and $-\frac{3}{4}$ are the probabilities that cannot occur.