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In the simplest case, a geometric probability is one that is given in terms of the ratio of two areas. For example, suppose a parachutist could land anywhere on a 10 square kilometre area of open country with equal probability, and you wanted to know how probable it would be that the parachutist would land on a designated area of 2 square kilometres with that part of open country.
Then the probability would be 2 / 10 = 0.2
The same principles apply in more and more difficult or complex cases, and in spaces of higher dimension. For instance, one can discuss geometric probabilities involving three-dimensional space.
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What is the probability that an object tossed into a region X and lands in region Y where region Y is contained in region X?
Geometric Probability
How do you do probability of independent events?
The answer depends on what you mean by "do". Does it mean calculate individually, calculate the probability of either one or the other (or both), calculate the probability of both, calculate some function of both (for example the sum of two dice being rolled)?
How to calculate empirical probability?
Bayesian probability ; see related link .
How do you predict probability?
"Probability" is not something that occurs in the future. It's the numerical likelihood of something happening in the future. You don't predict the probability. You calculate it.
What kind of distribution is exponential distribution?
Exponential distribution is a function of probability theory and statistics. This kind of distribution deals with continuous probability distributions and is part of the continuous analogue of the geometric distribution in math.
