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11 Samacheer Kalvi Solutions for 12.5.15 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.
The initial concept of Probability was created in 16th century by two mathematicians from France.They are both responsible for the creation of Probability's fundamental principles.The concept was further extended by the mathematician Laplace who in the 18th century had created the Bayesian concept.The events that happen in the real world aren't predicted.We try to make an intelligent guess by defining the chance of the event happening.
It is important for students to understand Probability as it will be applied in their career in the future when they work for a corporate or government agency.The probability will be used for making business decisions in those organizationsIt is always better to make decisions based on the mathematical formula than on chance.There are lots of surprises and unpredictable outcomes in the events that happen in the world.For an event there could be more than one outcome.
The likely outcome is determined by the probability.If the result of the process is known and can be defined it's called an experiment.If one can predict the outcome of an experiment in advance then it is called a Deterministic experiment.Random experiment is also called non- deterministic experiment.We know all of the possible outcomes of a random experiment but we can predict which of them will happen.
Sample space is the collection of the possible outcomes in a random event.A countable number of sample points and an uncountable number of sample points can be used.The number of sample points can't be further categorized into a subcategory.There are either finite number of sample points or infinite number of sample points.We need to know about the following in Probability but first we need to know the definition of probability.
It is referred to as sample space.The possible outcome is the number of elements in sample spaceWhen a coin is thrown it is called Head Tail.The space contains 2 elements.When two coins are thrown at the same time the sample space is called HH HT TH and TT.
When 3 coins are thrown at the same time then the sample space is HHH HHT HTH TTH TTT THH THT.The number of elements in the space is 8.Two coins are the same as one coin that is tossed two times.We shouldn't get confused with what they are saying.When 3 coins are thrown one coin is thrown three times.
The sample space is 1 2 3 4 5 6six is the number of sample space.The sample space for two dies 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.Six elements are used in the sample space.There is a formula for determining the number of sample spaces in coins.
The sample size is 4 if the n is 2.The sample space size is 8 if we put the n as 3 and 4The formula to find the number of dies is 6n.The sample space size is 6 if we put n2.The sample space size is 36 if we use the n as a 2.