A Probability Plan of Action

When one is asked to find the P (A and B), the Joint Probability, or P (AJB), the Conditional Probability, then one proceeds to Roman Numeral II in the table to do a test of independence initially, where the opposite rule of what you're trying to determine is tested. [...]either one side of the equation will be exactly equal to the other side, and therefore, one concludes that the events will be independent, or secondly, one side of the equation will not be exactly equal to the other side, and therefore, one concludes that the events will be dependent Once this decision has been made as to whether the events are independent or dependent, then the appropriate probability you are trying to find, Marginal, Joint, or Conditional Probability can be selected in order to determine the correct formula to be used. What appeared originally as a difficult problem can now be easily solved using this "Plan of Action" for the Addition Laws of Probability as well as the concepts of Independence versus Dependence.