# More Definitions & Other related Probability Topics

** Law of Large Numbers** states that the more times an experiment is performed the closer the Empirical Probability gets to the Theoretical Probability. This does not mean that ‘your number will eventually come up’.

** Sample Space** is the set of all possible outcomes in an experiment

** Sample Point** is any one of the outcomes in the Sample Space

** Tree Diagram** is one way of listing the Sample Space

The following video goes over Tree Diagrams and is about 5 minutes.

** Compound Probability** is when the probability of more than one outcome is to be determined

** Mutually Exclusive Events** are events that can’t both happen

** Independent Events** happen when one event does not affect the other event in any way

** Dependent Events** happen when one event does affect the other event in some way

** With Replacement** is if an item is selected and then put back, it may be chosen again

** Without Replacement** is if an item is selected, but it is not put back

The following video goes over the above definitions and is about 2.75 minutes.

** Or Probability** is the probability that either event will occur.P(A or B) = P(A) + P(B) – P(A and B)P(A and B) in this case is the probability that they both occur at the same time, this will be 0 if they are mutually exclusive.

** And Probability** is the probability that both events will occur.P(A and B) = P(A)*P(B)This time, they are two events, and the concept is similar to the counting principle.

The Or & And Probabilities are similar to the Union and Intersection of Sets. (link to old site)