NCERT Class 10 Mathematics Formula CBSE Board Sample Problems Part 9 (For CBSE, ICSE, IAS, NET, NRA 2023)

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Probability

Probability
S. noTermsDescription
1Empirical probabilityIt is a probability of event which is calculated based on experiments

Empirical Probability

Example:

A coin is tossed 1000 times; we get 499 times head and

501 times tail,

So empirical or experimental probability of getting head is

calculated as

Empirical probability depends on experiment and different will get different values based on the

2Important point about eventsIf the event A, B, C covers the entire possible outcome in the experiment. Then,

3Impossible eventThe probability of an event (U) which is impossible to occur is 0. Such an event is called an impossible event

P (U) = 0

4Sure or certain eventThe probability of an event (X) which is sure (or certain) to occur is 1. Such an event is called a sure event or a certain event

P (X) = 1

5Probability of any eventProbability of any event can be as

Probability
S. noTermsDescription
1Theoretical

probability

The theoretical probability or the classical probability of the event is

defined as

Probability P (E) =

2Elementary eventsAn event having only one outcome of the experiment is called an elementary event.

“The sum of the probabilities of all the elementary events of an experiment is 1.”

i.e.. . If we three elementary event A, B, C in the experiment , then

P (A) + P (B) + P (C) = 1

3Complementar y eventsThe event , representing ‘not A’ , is called the complement of the event A. We also say that A and A are complementary events. Also

4Sure or certain eventThe probability of an event (X) which is sure (or certain) to occur is 1. Such an event is called a sure event or a

certain event

P (X) = 1

5Probability of any eventProbability of any event can be as