# Which of the following cannot be the probability of occurrence of an event?

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) $-\frac{3}{4}$ 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.