math

• Combinatorics


  The study of counting the different outcomes of some tasks
• Experiment


  Activity with an observable outcome
• Sample Space


  Set of all possible outcomes
• Event


  • One or more possible outcomes of an experiment
  • A subset of the sample space
• Permutation


  • Arrangements of objects in definite order
  • Order matters
• Combination


  Order doesn't matter
• Probability


  The chance of an event occurring
• Probability Experiment


  A chance process that leads to well-defined results called outcomes
• Outcome


  The result of a single trial of a probability experiment
• Tree Diagram


  A device consisting of line segments emanating from a starting point and also from the outcome point
• Simple Event


  Event with one outcome
• Compound Event


  Two or more outcomes in an event
• Classical Probability


  • Uses sample spaces to determine the numerical probability that an event will happen
  • Assumes that all outcomes in the sample space are equally likely to occur
• Complementary Event


  The set of outcomes in the sample space that are not included in the outcomes of event E
• Empirical Probability


  Relies on actual experience to determine the likelihood of outcomes
• Mutually Exclusive Events


  Two events cannot occur at the same time
• Multiplication Rules


  Can be used to find the probability of two or more events that occur in sequence
• Independent Events


  If A occurrence does not affect B occurring
• Dependent Events


  When the outcome or occurrence of the first event affects the outcome or occurrence of the second event in such a way that the probability is changed