Probability - Properties Flashcards
what is uncertainty
an intrinsic property of experiments that cannot sample the population
probability
measure of the likelihood that an event will occur
experiment (or trial)
action that results in one of several possible outcomes
sample space
set of all possible outcomes of an experiment
event
subset of the sample space (collection of outcomes) denoted by capital letters
empty event
contains no outcomes
A
cardinality of A is the number of elements in A
P(A)
probability of an event A
what does property 1 say about P(A)
P(A) falls somewhere between 0 and 1 (inclusive)
what does property 2 say about the probability of the empty event and the sample space
they are 0 and 1
what does property 3 say about mutually exclusive events A and B
The probability of A union B is the sum of the probabilities of A and B
what is the meaning of A union B
in A or B
what is the complement law, property 4
the probability of the complement of A is 1 minus the probability of A
what is the addition law, property 5
for any events A and B the probability of the union of A and B is the sum of the probabilities of A and B minus the probability of the intersection of A and B
what is the meaning of A intersection B
in A and B
