Test Index

Probability

Question : 25 of 127

Marks: +1, -0

A

is the

limiting value of the ratio of the no. of times the event A occurs to the number of times the experiment is repeated
the ratio of the frequency of the occurrences of A to the total frequency occurrences of A to the non-occurrence of ${A}$
the ratio of the frequency of the
the ratio of the favourable elementary events to ${A}$ to the total number of elementary events.

Solution:

Concept:

The statistical definition of probability is based on the limiting value of relative frequency.

Explanation:

The statistical (or empirical) definition states that the probability of an event

A

is the limit of the relative frequency of its occurrence as the number of trials

n

approaches infinity.

That is,

P(A) = \lim_{n \to \infty} \frac{\text{number of times } A \text{ occurs}}{n}

Among the given options, only option A correctly expresses this idea.

Option D describes the classical definition (favorable outcomes / total outcomes).

Options B and C are ambiguous or incomplete.

Answer:

Option A.

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