Probability Class 10 Maths Formulas

The List of Important Formulas for Class 10 Probability is provided on this page. We have everything covered right from basic to advanced concepts in Probability. Make the most out of the Maths Formulas for Class 10 prepared by subject experts and take your preparation to the next level. Access the Formula Sheet of Probability Class 10 covering numerous concepts and use them to solve your Problems effortlessly.

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.

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

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.