NCERT Class X Chapter 14: Probability Exercise 14.1 Question (4)

NCERT Class X Chapter 14: Probability Exercise 14.1 Question 4

Question:

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

(A) 23    (B) –1.5   (C) 15%   (D) 0.7

Given:

The options are 

(A) 23,     (B) –1.5,   (C) 15%,   (D) 0.7

To Find:

Which of the given options cannot be the probability of an event.

Formula:

The probability of an event P(E) always lies between 0 and 1, i.e., 0 ≤ P(E) ≤ 1

Solution:

The probability of an event is always a non-negative value less than or equal to 1.

Let's analyze each option:

(A) 23 ≈ 0.67. This is between 0 and 1.

(B) –1.5. This is negative, so it cannot be a probability.

(C) 15% = 15100 = 0.15. This is between 0 and 1.

(D) 0.7. This is between 0 and 1.

Result:

Therefore, –1.5 cannot be the probability of an event.

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