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11 Samacheer Kalvi Solutions for 12.5.4 is given in a real board in a hand written format. This would be useful for students to understand the solution in easy and simple manner. The grasping power increases by reading the solution in a notes format. Hence we have given all the solution in volume 2 in this board format. Please share with your friends if you find this format useful.
In the 16th century two mathematicians from France created the concept of Probability.Both of them are responsible for the creation of the fundamental elements of Probability.In the 18th century a mathematician named Laplace created the Bayesian concept.It's not possible to predict many of the events that take place in the real world.We attempt to make an intelligent guess by defining the probability of the event occurring.
It's beneficial for students to understand the concepts of Probability as it will be applied in their career when they work for corporate or government agencies.Those organizations will use the probability to make business decisions.It is always a good idea to make decisions based on the mathematical formula instead of experience or chance.Surprises and unpredictable outcomes are part of the events that happen around the world.There could be a variety of outcomes that come from the event.
It is the probability that helps in determining the most likely outcome.It is called an experiment if the result of the process is known and can be defined.If one can predict the outcome of the experiment in advance then it is called a Deterministic Experiment.Random experiment is also referred to as Non-Deterministic experimentPredicting which of the outcomes of a random experiment will happen is possible.
Sample space is the collection of all the possible outcomes if there are multiple outcomes in a random event.The countable number of sample points and uncountable number of sample points are two types of sample points.The number of points can't be further divided into a subcategory.Either an infinite number of sample points or a finite number of sample points are the countable number of sample points.First we need to know the definition of probability then we have to know about the following things.
The sample space is marked with a letter.Number of elements in sample space is nothing but a possible outcome.When a coin is tossed the sample space is Head Tail.The sample space has at least 2 elements.When there are two coins tossed at the same time the sample space is called HH.
When 3 coins are thrown at the same time the sample space is HHH HHT HTH TT TTT THH THT.There is a sample space that has 8 elements.A coin that is tossed two times is the same coin that is tossed once.We don't need to be confused with the statements.One coin thrown three times is called one coin thrown three times.
When a die is thrown there is a sample space.The amount of sample space is not known.The sample space is 11 12 13 14 15 16 21 22 23 24 25 26 31 32 33 34 35 36 41 42 43 44 45 46 51 52 53.There are six elements in the space.The number of sample spaces in coins is determined using a formula.
The sample space size is four if we place the n as 2.If we put the n as 3 the sample space size is 8.There is a formula to find the number of sample spaces.The sample space size is 6 if we use n2.Sampling space size is 36 if we put the n as 2.