WGU C955 Module 7 Probability Flashcards (100% solved).

Conditional Probability (and Probability) P(B|A) = P(A and B)/P(A) or P(A|B) = P(A and B)/P(B) Determining Independence P(B|A) = P(B) or P(A and B) = P(A) x P(B) can be used. Multiplication Rule for Independent Events If two events are independent, then P(A and B) = P(A) x P(B). Disjoint Two events which cannot both occur at the same time. Theoretical Probability Formula Probability of Event = # of outcomes in the event / Total # of outcomes in the sample space Empirical (Observational) Probability Formula Relative Frequency of Event = # of times event occurs / total number of trials Two Disjoint events are { } two events that are Disjoint are always {dependent}. General Addition Rule for Independent and NOT disjoint. P(A or B) = P(A) + P(B) - P(A and B) Note: {The P(A and B) can be retrieved by multiplying P(A) and P(B).} The General Multiplication Rule is used when two events a { } and { }. {Not disjoint} and {Not Independent} General Multiplication Rule P(A and B) = P(A) * P(B|A)