Term | Definition |
Counting Principle | If one event can occur in m ways and another event can occur in n ways, then the two events can occur in mn ways. |
Pascal's Triangle | A triangular pattern of numbers in which each row begins and ends with the number "1", and each number in the middle of a row is equal to the sum of the two numbers immediately above it. |
tree diagram (for probability) | A diagram that shows all of the possible outcomes for an event. Also called a Counting Tree. Counting trees are most useful when all events are equally likely. |
probability | how likely it is for an event to happen |
how to find the probability | P(outcome we are interested in) =
# of equally likely favorable outcomes/
total # of equally likely outcomes" |
outcomes | different possible results |
favorable outcomes | results for a particular event to occur |
experimental probability | actual results for a total number of outcomes |
theoretical probability | If all results were equally likely to happen, the calculated (predicted) results |
compound event | the result of combining two or more events. The probability of a compound event is related to the probabilities of the compound events that make it up. |
independent events | Two events are independent if the occurrence of one of the events gives us no information about whether or not the other event will occur; that is, the events have no influence on each other. |
probability of independent events occurring | the probability that they both occur is equal to the product of the probabilities of the two individual events |
dependent event | An event whose outcome is influenced by the outcome of a prior event. |
simulation | "an experiment that models a real-life situation. Creating a Simulation is a strategy for finding the probability of an event by
experimentation. |