# GSEB Class 10 Maths Notes Chapter 15 Probability

This GSEB Class 10 Maths Notes Chapter 15 Probability covers all the important topics and concepts as mentioned in the chapter.

## Probability Class 10 GSEB Notes

Experiment:
Experiment means an operation which can produce some well-defined outcome(s).

Random Experiment:
In an experiment when repeated under identical condition do not produce the same outcome every time but the outcome in a trial is one of the several possible outcomes.

Sample Space:
The total number of possible outcomes of random experiment is known as sample space.

Elementary Event:
If a random experiment is performed then each outcomes is known as an elementary event.

Sure Event:
An event associated with random experiment is called a certain event if it always occurs whenever the experiment is performed.

Impossible event:
An event associated with random experiment is called an impossible event. If it never occurs when every experiment is performed.

Favourable Events:
The cases which ensure the occurrence of an event, are called favourable cases to that event.

Probability:
Probability P(E) of an event E as
P(E) = $$\frac{\text { Number of trials in which the event happened }}{\text { Total number of trials }}$$
or P (E) = $$\frac{\text { Number of outcomes favourable to } \mathrm{E}}{\text { Number of all Possible outcomes of the experiment }}$$

Complementry Events:
The event $$\vec{E}$$, representing not E is called complement of the event E and $$\vec{E}$$ are complementary events
P($$\vec{E}$$ ) = 1 – P (E)

Note:

• Sum of the probabilities of all the elementary events of an experiment is 1
0 ≤ P (E) ≤ 1
• The probability of an impossible event is 0.
• Probability of sure event is 1.