For any event that has multiple outcomes with different probabilities, it can be helpful and illustrative to construct a chart or diagram of the possible outcomes. Tree diagrams are a useful example ...

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To calculate the probability of an event, the total number of possible outcomes is often required. For simple situations, making a list or completing a sample space diagram is enough but in more ...

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A third order upper bound is presented on the probability of the union of a finite number of events, by means of graphs called cherry trees. These are graphs that we construct recursively in such a ...

Applicable Analysis and Discrete Mathematics, Vol. 10, No. 2 (October 2016), pp. 408-446 (39 pages) An associative Boolean tree is a plane rooted tree whose internal nodes are labelled by AND or OR ...

Two events are independent if the probability of the first event happening has no impact on the probability of the second event happening. If the probability of one event happening affects the ...

A new study shows how students can better understand and interpret conditional probabilities. A new LMU study shows how students can better understand and interpret conditional probabilities. How ...