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Can the experimental probability of an event be a negative number? If not, why?

Solution:

We know that

Probability can be defined as the ratio of the number of favorable outcomes to the total number of outcomes of an event. For an experiment having 'n' number of outcomes, the number of favorable outcomes can be denoted by x. The formula to calculate the probability of an event is as follows.

Probability(Event) = Favorable Outcomes/Total Outcomes = x/n

Number of outcomes favorable to an event (E) ≤ Number of all possible outcomes

It can be written as

0 ≤ P (E) ≤ 1

Number of trials cannot be negative and the total number of trials is always positive.

Therefore, the experimental probability cannot be a negative number.

✦ Try This: The class marks of a continuous distribution are : 2.02, 2.12, 2.22, 2.32, 2.42, 2.52 and 2.62. Is it correct to say that the last interval will be 1.56 - 1.74? Justify your answer.

☛ Also Check: NCERT Solutions for Class 9 Maths Chapter 14

NCERT Exemplar Class 9 Maths Exercise 14.2 Problem 8

Can the experimental probability of an event be a negative number? If not, why?

Summary:

The experimental probability of an event cannot be a negative number as the total number trials is always positive

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