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19 Cards in this Set

  • Front
  • Back

Fundamental Counting Principle

for n terms, if there are m1 ways to choose a first item, m2 ways to choose a second item after the first item has been chosen, and so on, then there are m1 * m2 * m3*......... ways to choose n items

permutation

an arrangement of a group of objects in which order is important. The number of permutations of r objects from a group of n objects is denoted: nPr

factorial

if n is a positive integer, then n factorial, written n!

combination

a selection of a group of objects in which order is not important. The number of combinations of r objects chosen from a group of n objects is denoted: nCr

probability

a number from 0 to 1 (or 0% to 100%) that is the measure of how likely an event is to occur

outcome

a possible result of a probability experiment

sample space

the set of all possible outcomes of a probability experiment

event

an outcome or set of outcomes in a probability experiment

equally likely outcomes

outcomes are equally likely if they have the same probability of occurring. If an experiment has n equally likely outcomes, then the probability of each outcome in 1/n.

favorable outcomes

the occurrence of one of several possible outcomes of a specified event or probability

theoretical probability

the ratio of the number of equally likely outcomes in an event to the total number of possible outcomes

complement

the set of all outcomes in the sample space that are not in the event (E)

geometric probability

a form of theoretical probability determined by a ratio of geometric measures such as lengths, areas, or volumes

experimental probability

the ratio of the number of times an event occurs to the number of trials, or times, that an activity is performed

experiment

an operation, process, or activity in which outcomes can be used to estimate probability

trial

in probability, a single repetetion or observation of an experiment

independent events

events for which the occurrence or nonoccurrence of one event does not affect the probability of the other event

dependent events

events for which the occurrence or nonoccurrence of one event affects the probability of the other event

conditional probability

the probability of event B, given that event A has already occurred or is certain to occur, denoted: P(B|A); used to find probability of dependent events