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.