TOPICS
Search

Dependent Events

DOWNLOAD Mathematica NotebookDownload Wolfram Notebook
DependentEvents

Two events A and B are dependent if they are not independent events, so that

P(A intersection B)!=P(A)P(B).

In the area model shown above, P(A)=1/2, P(B)=2/5, and P(A intersection B)=1/4, whereas P(A)P(B)=1/5. When P(B)>0, this is equivalent to P(A|B)!=P(A). Dependence need not imply a causal relation between the events.

See also

Conditional Probability, Event, Independent Events, Mutually Exclusive Events

Explore with Wolfram|Alpha

References

Ross, S. M. A First Course in Probability, 8th ed. Upper Saddle River, NJ: Pearson, 2010.

Cite this as:

Weisstein, Eric W. "Dependent Events." From MathWorld--A Wolfram Resource. https://mathworld.wolfram.com/DependentEvents.html

Subject classifications