The following formula is involved in the calculation of joint probability values:
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Joint probability:

where P(A|B) is the conditional probability of event A occurring given that event B has occurred, and P(B) is the probability of event B.
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The following references can be used to cite this joint probability calculator:
 | Soper, D.S. (2013). Joint Probability Calculator [Software]. Available from http://www.danielsoper.com/statcalc |
 | Keller, G. (2011). Statistics for Management and Economics (9th edition). Mason, OH: South-Western Cengage. |