Class 10 Maths Probability – Get here the Notes for Class 10 Maths Probability. Candidates who are ambitious to qualify the Class 10 with good score can check this article for Notes. This is possible only when you have the best CBSE Class 10 Maths study material and a smart preparation plan. To assist you with that, we are here with notes. Hope these notes will help you understand the important topics and remember the key points for exam point of view. Below we provided the Notes of Class 10 Maths for topic Probability.

**Class:**10th**Subject:**Maths**Topic:**Probability**Resource:**Notes

## CBSE Notes Class 10 Maths Probability

Candidates who are pursuing in Class 10 are advised to revise the notes from this post. With the help of Notes, candidates can plan their Strategy for particular weaker section of the subject and study hard. So, go ahead and check the Important Notes for CBSE Class 10 Maths Probability from this article.

**PROBABILITYASAMEASUREOFUNCERTAIINITY**

**EXPERIMENT:** An operation which can produce some well defined outcomes, is known as an experiment.

**TRIAL :** Performing of an experiment is called Trial.

For example : Tossing a coin, throwing a dice.

**EVENT :** The outcomes of an experiment are called events. For example Getting a head or tail tossing a coin is an Event.

**EQUALLY LIKELY EVENT :** Outcomes of trial are said to be equally likely if taking into consideration all the relevant evidences, there is no reason to expect one in preference to the others. For example,

(a) In throwing an unbiased die, all the six faces are equally likely to come.

**ELEMENTARY EVENT :** An event having only one outcome is called an elementary event.

**REMARK:** The sum of the probabilities of all the elementary events of an experiment is 1.

**SAMPLE SPACE :** The set of all possible outcomes in a trial is called sample space.

For instance :

(i) If a fair coin is tossed, there are two possible outcomes, namely head (H) & Tail (T). Sample space S = { H, T}

(ii) In unbaised die is thrown; S = { 1, 2,-3, 4, 5,6)

(iii) When two coins are tossed ; S = HH, HT, TH,TT}

**FAVOURABLE CASES :** If we toss a coin, the number of favourable cases for a head is 1 i.e., (H) and total number of equally likely cases =2 i.e., (T, H)

**PROBABILITY:** Mathematically, Probability of an event E, is defined as,

P(E) = n(E) / n(S) = ) No.of outcomes of favourable cases to E / Total No. of possible outcomes

The probability of an event E is a number between 0 and 1 inclusive i.e., 0 ≤P(E)≤1

(i) If P(E) = 0, then the event cannot possibly occur. An event that cannot occur has 0 probability; Such an event is called impossible event.

(ii) If P(E) = 1, then the event is certain to occur. An event that is certain to occur has probability equal to one and is called a sure event.

**PROCEDURE FOR FINDING SIMPLE ****PROBABILITY OF AN EVENT**

(i) Count the total number of outcomes in the sample space i.e., n(S);

(ii) Then count all possible outcomes of the event E + e — n(E).

(iii) Substitute these values in the below given formula for probability of event E.

P(E) = n(E) / n(S)

**COMPLEMENTARYEVENT**

Let E denote the event ‘E does not occur’. Then

P(E) = n(E) / n (S)

= n(S) – n(E) / n(S) = 1 – n(E) / n(S)

P(E) = 1— P(E) P(E) + P(E) = 1

i.e. P(E) + P(not E) = 1

Thus P (not E) = 1— P (E), this event is said to be a complementary event.

### Class 10 Key Points, Important Questions & Practice Papers

Hope these notes helped you in your schools exam preparation. Candidates can also check out the Key Points, Important Questions & Practice Papers for various Subjects for Class 10 in both Hindi and English language form the link below.

Class 10 Maths | कक्षा 10 गणित |

Class 10 Science | कक्षा 10 विज्ञान |

Class 10 Social Science | कक्षा 10 सामाजिक विज्ञान |

Class 10 English |

### Class 10 NCERT Solutions

Candidates who are studying in Class 10 can also check Class 10 NCERT Solutions from here. This will help the candidates to know the solutions for all subjects covered in Class 10th. Candidates can click on the subject wise link to get the same. Class 10 Chapter-wise, detailed solutions to the questions of the NCERT textbooks are provided with the objective of helping students compare their answers with the sample answers.

### Class 10 Mock Test / Practice

Mock test are the practice test or you can say the blue print of the main exam. Before appearing in the main examination, candidates must try mock test as it helps the students learn from their mistakes. With the help of Class 10 Mock Test / Practice, candidates can also get an idea about the pattern and marking scheme of that examination. For the sake of the candidates we are providing Class 10 Mock Test / Practice links below.

### Class 10 Exemplar Questions

Exemplar Questions Class 10 is a very important resource for students preparing for the Examination. Here we have provided Exemplar Problems Solutions along with NCERT Exemplar Problems Class 10. Question from very important topics is covered by Exemplar Questions for Class 10.

CBSE Class 10 Maths Notes Science Notes Social Science Notes English Notes

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