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Can the experimental probability of an event be greater than 1? Justify your answer.

Solution:

We know that

The experimental probability of an event is based on the number of times the event has occurred during the experiment and the total number of times the experiment was conducted. Each possible outcome is uncertain and the set of all the possible outcomes is called the sample space.

The formula to calculate the experimental probability is:

P(E) = Number of times an event occurs/Total number of times the experiment is conducted

The chance or occurrence of a particular event is termed its probability. The value of a probability lies between 0 and 1 which means if it is an impossible event, the probability is 0 and if it is a certain event, the probability is 1.

From the question,

Experimental probability cannot be greater than 1 as the number of trials cannot be greater than the total number of trials.

Therefore, the experimental probability of an event cannot be greater than 1.

✦ Try This: The class marks of a continuous distribution are :3.01, 3.11, 3.21, 3.31, 3.41, 3.51 and 3.61. Is it correct to say that the last interval will be 1.58 - 1.76? Justify your answer.

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

NCERT Exemplar Class 9 Maths Exercise 14.2 Problem 9

Can the experimental probability of an event be greater than 1? Justify your answer.

Summary:

The experimental probability of an event cannot be greater than 1 as the number of trials cannot be greater than the total number of trials

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