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.