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**A probabilistic system is one where events and occurrences cannot be predicted with precise accuracy.** It is contrasted by a deterministic system in which all events can be predicted with certainty.

In a probabilistic system, unlike in a deterministic system, what has just occurred is not always an accurate predictor of what will transpire next. The weather, for example, is a probabilistic system, in that future events can only be imperfectly predicted.

The theory of probabilistic systems by extension leads to probabilistic analysis and forecasting. A probabilistic system must be analyzed according to the various possible outcomes and their relative probability of occurrence.

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## What is disjoint probability?

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Full Answer >**In probability, disjoint events are mutually exclusive, meaning that if one of the possible disjoint events occurs, the other cannot occur.**For example, when a driver reaches an intersection, she may turn left or right, or go straight, but may not turn and go straight. Turning and driving straight are therefore disjoint events.Filed Under: - Q:
## What is variance analysis ?

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Full Answer >**Variance analysis accounts for discrepancies between planned events and what actually takes place.**It is generally performed at the end of each fiscal month and reported to management. Variance analysis is particularly useful in markets with consistent monthly trends.Filed Under: - Q:
## What is an example of disjoint events?

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Full Answer >**An example of disjoint events is heading north and heading south.**Since going north and south, which are in two opposite directions at the same time is not possible, this event is mutually exclusive or disjoint.Filed Under: - Q:
## What is an explanation of the sum rule and product rule of probability?

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Full Answer >**The product rule postulates on the probable simultaneous occurrence of two independent events while the sum rule indicates the probable occurrence of either one of two mutually exclusive events.**Both rules use a mathematical formula to calculate the respective probabilities.Filed Under: