NCERT Class 10 Mathematics Formula CBSE Board Sample Problems Part 9

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Probability

Probability

S.no

Terms

Description

1

Empirical probability

It 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

2

Important point about events

If the event A, B, C covers the entire possible outcome in the experiment. Then,

3

Impossible event

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

P (U)=0

4

Sure or certain event

The 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

5

Probability of any event

Probability of any event can be as

Probability

S.no

Terms

Description

1

Theoretical

probability

The theoretical probability or the classical probability of the event is

defined as

Probability P(E) =

2

Elementary events

An 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

3

Complementar y events

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

4

Sure or certain event

The 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

5

Probability of any event

Probability of any event can be as