# NCERT Solutions for Class 10 Maths Exercise 15.2

NCERT Solutions for Class 10 Maths Exercise 15.2 Probability. Question Answers are available in Hindi and English Medium free to use on website or in apps. Extra questions for practice are also given here which are taken from CBSE board examinations.

All the solutions are updated for academic session 2020-2021 for CBSE board, UP Board, MP board and all other boards who are following the latest NCERT Books issued for current academic session.

## Class 10 Maths Exercise 15.2 Solution in Hindi and English

Class: 10 | Mathematics |

Chapter: 15 | Probability |

Exercise: 15.2 | NCERT Solutions |

#### Class 10 Maths Chapter 15 Exercise 15.2 Solutions in Videos

### Assumption on Probability

- The empirical interpretation of probability can be applied to all events associated with an experiment that can be repeated in large numbers.
- There are some limitations to the need to repeat an experiment, as it can be very expensive or impractical in many situations. Of course, it worked well in coin or dice throwing experiments.
- Now for repeating the events of experiments of projecting a satellite to calculate the empirical probability of its failure during launch, or to calculate the empirical probability of repeating an earthquake event that a multi-story building in an earthquake Will it is destroyed?

#### History of Probability

The theory of probability originated around the 16th century when a famous Italian physician and mathematician, J. Cardan wrote his first book on the subject, The Book on Games of Chance. From the very beginning, the study of probability has attracted the attention of great mathematicians. James Bernoli (1654–1705), a. De Moivre (1667–1754), and Pierre Simon Laplace are among those who made significant contributions to the field. Laplace’s Theory Analytique de Probabilitées, 1812, is considered the greatest contribution to the theory of probability for an individual. In recent years, probability has been widely used in many fields such as biology, economics, genetics, physics, sociology, and more.

##### Experimental Probability

The experimental or empirical probability of an event is based on what has actually happened, while the theoretical probability of the event tries to predict what will happen based on some assumptions. As the number of trials increases in an experiment, we can expect experimental and theoretical possibilities.

###### A Deck of 52 Cards

Consider a deck of cards. It consists of 52 cards divided into 4 suits of 13 cards, spades (♠), hearts (♥), diamonds (♦) and clubs (♣). Clubs and spades are all 26 black cards, while hearts and diamonds are red. The cards in the suit are Ace, King, Queen, Jack, 10, 9, 8, 7, 6, 5, 4, 3, and 2. There is a total of 12 cards, 4 Kings, 4 queens, and 4 jacks, which are called face cards. There are many uses in which results are given There is a number between the numbers or resulting in each point inside a circle or rectangle, etc. Here, now you guess the count the number of all possible outcomes? As you know, this is not possible because two given numbers There are infinite numbers between, or infinite points within a circle. Therefore, the definition of (theoretical) probability that you have learned so far cannot be applied in the present form.