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Geometric Probability

TopWe can understand geometric Probability with the help of geometrical figures but before that we need to understand probability first. Probability was discovered by two French mathematicians Blaise Pascal (1623–1662) and Pierre de Fermat (1601–1665), after discovering probability they applied it to playing dice and playing cards. Probability generally deals with number of samples and number of events; we can find the probability of any event with the help formula given below.
Probability= number of events /number of samples,
If we talk about modern probability we need to use many algebraic formulas and it is very hard to remember all these formulas so for avoiding the use of these formulas we will use Geometrical Probability. Geometric Probability definition can be stated as the probability which deals with geometrical figures like triangle, squares and line segments. With help of these figures we can picture the problems of probability before solving it. This helps you to understand the problem easily. With geometric solutions we need not remember all the formulas and terms, instead we will be able to use well-known geometric relationships to understand the problem situations and then to solve them. Suppose if we are given a problem and we need to find the probability of a Square with its side having dimensions of 10 inch and we have another square which is the inner square, having dimensions 3 inch, find the probability of Sue throwing a dart into the shaded square? We can find the probability with the algebraic formula given as-
Probability =Feasible Region /Area of shaded square,
But if we have knowledge of geometrical probability then with the help of two simple geometrical figures then you can easily visualize the probability with help of figures. Geometric Probability helps to reduce lengthy calculations.