Which of the following cannot be the probability of occurrence of an e

1.	Which of the following cannot be the probability of occurrence of an event?(i) 0(ii) \(-\frac{3}{4}\) (iii) \(\frac{3}{4}\) (iv) \(\frac{4}{3}\)
Answer» (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 ≤ probability ≤ 1 i.e. probability can vary from 0 to 1(both are inclusive) So, (i) 0 can be possible as 0 ≤ probability ≤ 1 (ii) \(-\frac{3}{4}\) is not possible as it is less than 0 (iii) \(\frac{3}{4}\) is possible as 0 ≤ probability ≤ 1 (iv) \(\frac{4}{3}\) is not possible as it is greater than 1 Conclusion: \(\frac{3}{4}\) and \(-\frac{3}{4}\) are the probabilities that cannot occur.

Which of the following cannot be the probability of occurrence of an event?(i) 0(ii) \(-\frac{3}{4}\) (iii) \(\frac{3}{4}\) (iv) \(\frac{4}{3}\)

Answer»

(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 ≤ probability ≤ 1 i.e. probability can vary from 0 to 1(both are inclusive) So, (i) 0 can be possible as 0 ≤ probability ≤ 1

(ii) \(-\frac{3}{4}\) is not possible as it is less than 0

(iii) \(\frac{3}{4}\) is possible as 0 ≤ probability ≤ 1

(iv) \(\frac{4}{3}\) is not possible as it is greater than 1

Conclusion: \(\frac{3}{4}\) and \(-\frac{3}{4}\) are the probabilities that cannot occur.

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