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. 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 � , a.
De Moivre � , and Pierre Simon Laplace are among those who made significant contributions to the field. In recent years, probability has been widely used in many fields such as biology, economics, genetics, physics, sociology, and more. 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. Consider a deck of cards. 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. Class: 10 Mathematics Chapter: 15 Probability Exercise: 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. 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. A Deck of 52 Cards Consider a deck of cards.
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