3.1 Basic Concepts of Probability Flashcards
Probability Experiment
An action or trial through which specific results are obtained.
Simple Probability
of successful outcomes / total number of outcomes
Impossible Event
0 probability of occurring
Certain Event
Probability of 1
Unlikely Event
Probability between 0 and 0.50
Likely Event
Probability between 0.50 and 1
Unusual Event
Probability less than 0.05
Usual Event
Probability more than 0.05
Sample Space
Set of all outcomes of a probability experiment
Theoretical (classical) Probability
Used when each outcome in a sample space is equally likely to occur.
- Probability of drawing a card from a standard deck.
Experimental (empirical) probability
Based on observations obtained from probability experiments.
- outcomes from actually rolling a number cube or flipping a coin (usually don’t match theoretical probability)
Subjective Probability
Results from intuition, educated guesses, and estimates.
- Probability of recovery made by a doctor’s wealth
Complement of event E
Set of all outcomes in a sample space that are not included in event E; denoted as E prime (E’)
- sum of probability and complement equals one
Law of Large Numbers
As an experiment is repeated over and over, the empirical probability of an event appears to be the theoretical probability of the event.
Odds in Favor (odds of winning)
Ration of success to unsuccessful
Odds against
Ratio of unsuccessful