Probability Class 10 Notes Maths Chapter 15

CBSE Class 10 Maths Notes Chapter 15 Probability Pdf free download is part of Class 10 Maths Notes for Quick Revision. Here we have given NCERT Class 10 Maths Notes Chapter 15 Probability. According to new CBSE Exam Pattern, MCQ Questions for Class 10 Maths Carries 20 Marks. https://www.cbselabs.com/probability-class-10-notes/

CBSE Class 10 Maths Notes Chapter 15 Probability

Probability Class 10 Notes Chapter 15

Probability: It is the numerical measurement of the degree of certainty.

• Theoretical probability associated with an event E is defined as “If there are ‘n’ elementary events associated with a random experiment and m of these are favourable to the event E then the probability of occurrence of an event is defined by P(E) as the ratio \(\frac { m }{ n }\) “.
  
• If P(E) = 1, then it is called a ‘Certain Event’.
• If P(E) = 0, then it is called an ‘Impossible Event’.
• The probability of an event E is a number P(E) such that: 0 ≤ P(E) ≤ 1
• An event having only one outcome is called an elementary event. The sum of the probabilities of all the elementary events of an experiment is 1.
• For any event E, P(E) + P(\(\bar { E }\)) = 1, where \(\bar { E }\) stands for ‘not E’. E and \(\bar { E }\) are called complementary events.
• Favourable outcomes are those outcomes in the sample space that are favourable to the occurrence of an event.

Probability Notes Class 10 Chapter 15

Sample Space
A collection of all possible outcomes of an experiment is known as sample space. It is denoted by ‘S’ and represented in curly brackets.
Examples of Sample Spaces:
A coin is tossed = Event
E₁ = Getting a head (H) on upper face
E₂ = Getting a tail (T) on upper face
S = {H, T}
Total number of outcomes = 2

Two coins are tossed = Event = E
E₁ = Getting a head on coin 1 and a tail on coin 2 = (H, T)
E₂ = Getting a head on both coin 1 and coin 2 = (H, H)
E₃ = Getting a tail on coin 1 and a head on coin 2 = (T, H)
E₄ = Getting a tail on both, coin 1 and coin 2 = (T, T)
S = {(H, T), (H, H), (T, H), (T, T)}.
Total number of outcomes = 4

Class 10 Probability Notes Chapter 15

NOTE: In probability the order in which events occur is important
E₁ & E₃ are treated as different outcomes.

Important Tips

• Coin: A coin has two faces termed as Head and Tail.
• Dice: A dice is a small cube which has between one to six spots or numbers on its sides, which is used in games.
• Cards: A pack of playing cards consists of four suits called Hearts, Spades, Diamonds and Clubs. Each suite consists of 13 cards.

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