5.1 basics of probability Flashcards
probability experiment
one in which we don’t know what any individual outcome will be, but we do know how a long series of repetitions will come out
probability of an event
is the proportion of time that the event occurs in the long run
law of large numbers
a probability experiment is repeated over and over until that proportion of times that a given event occurs will approach its probability
sample space
collection of all the possible outcomes of a probability experiment (ex: toss of a coin:heads and tails; roll of a die: 1,2,3,4,5,6)
an event
the collection of outcomes of a sample space (EX: rolling an odd number: 1,3,5, from the sample space 1,2,3,4,5,6)
probability model
donated by P, helps specify a probability of each event
probability rules
the probability of an event is always between 0 and 1. 1 meaning certain to occur and 0 meaning cannot occur. anything below .5 is unusual
probability with equally likely outcomes
P(A)=k/n, A meaning event, =number of outcomes in A/number of outcomes in the sample space
dont reduce fractions
in ALEKS they like you to keep the ratio in nonreduced terms