Chapter 5.1 Flashcards
A value between 0 and 1, inclusive, describing the relative possibility an event will occur
Probability
How to calculate probability as odds
x/(x+y)
an example would be the odds are 5 to 2 or 5/(5+2)
A process that leads to the occurrence of one and only one of several possible results
Experiment
Outcome
A result of an experiment
A collection of one or more outcomes of an experiment
event
Probability that is based on the assumption that the outcomes of and experiment are equally likely. What is the formula
Classical probability
Probability of event = number of favorable outcomes/number of possible outcomes
What is the multiplication formula
Total arrangements = (m)(n) where m & n are total number of possibilities if events. If you toss three dice, there are 6 outcomes for each dice so the formula would be (6)(6)(6)
When there is a single group of events and we want to determine the number of all possible arrangements of an outcome from the group.
An arrangement of r objects selected from a single group of n possible objects
Permutations
What is the permutation formula
nPr = n!/(n-r)!
An event of outcomes when the order of the outcomes does not matter
Combination
What is the combination formula
nCr = n!/r!(n-r)!
The probability of an event based on a collection of observations or data. State the term and formula
Empirical probability
number of times an event occured/number of observations.
Law that states over a large number of trials, the empirical probability of an event will approach it’s true probability
Law of large numbers
The likelihood of a particular event happening that is assigned by an individual based on whatever information is available
Subjective concept of probability
The occurrence of one event means that none of the other events can occur at the same time.
Mutually exclusive