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Urn model: main information

We prepared this article for you. Many problems of classical probability theory can be illustrated (simulated) with the help of the urn model - geometry homework help . For this purpose, it is assumed that there are a certain number of (distinguishable) balls in a container (the urn) and that a corresponding number of balls are drawn from this container one after the other or onto a handle.

This applies above all to the so-called basic tasks of combinatorics. For this purpose, it is assumed that there are n numbered (distinguishable) balls in a container (the so-called urn). A selection of k elements from an n-element basic set can be realised by drawing k balls. One must distinguish between a selection without and a selection with repetition - math homework solver . In the first case, the ball is drawn without being put back; in the second case, the ball drawn in each case is put back into the urn.

Random experiments in which every possible result has the same probability (Laplace experiments) can also be simulated - do my assignment . A specific event (as a set of favourable outcomes for it) and the probability of this event occurring can be defined by labelling the balls accordingly (numbering, colour, etc.). Figure 1 shows this for the simulation of throwing a "checked" die.

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