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) = \(\frac{\text { Number of outcomes favourable to } \mathrm{E}}{\text { Number of all Possible outcomes of the experiment }}\)

GSEB Class 10 Maths Notes Chapter 15 Probability

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.

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