Chapter 4.2 Flashcards
What is probability?
A way to measure the likelihood that something will happen
It is alway a number between 1-0 (Lowest possible fraction or decimal)
pg. 138
What is an experiment?
An occurrence for which the result is uncertain until it happens
pg. 138
What is an outcome?
A possible result for an experiment
pg. 138
What is a sample space?
An experiment is the set of all posible outcomes for the experiment
pg. 138
How many sample spaces for 2 dice?
36 possible options
pg. 139
What is an event?
A collection of outcomes
e.g. event E is an even number when a single die is rolled {2,4,6}
pg. 140
What is P(E)
The probability that an event (E) will occur;
P(E)=# of outcomes in the event-E/total number of possible outcomes-P
May ONLY be applied to outcomes that are equally likely
pg. 140/142
Outcomes vs Events
outcomes are equally likely or events can have different likelihoods of occurring
Outcome=Denominator & Event=Numerator
pg. 143
Numbers for decks of cards
Total: 52
4 suits of 13 cards each
2 colors 26 cards each
3 face cards per suit 12 total
pg. 147
What is empirical probablility
Used when we don’t have a clearly defined sample space with qually likely outcomes but we do have some observed results so we can estimate probabilities;
P(E)=number of times the event happened/total number of observed trials;
Empirical means based on observed results
e.g. a player completed 21 passes in 32 attemps—P(E)=21/23
pg. 153
What is the relationship between percent and probaility?
100%=1;
if the percent of a pop with a trait is known and a random selection is made, the probability that the selected person or item has the trait is the percent in decimal form;
it’s not ncessary to know the size of the population
pg. 159