probability Flashcards
result of an observation or experiment, or the descriptor of some potential outcome
event
a subset of the set of all possible outcomes of a probabilistic experiment
event
the measure of the likelihood of an event happening
probability
measures the certainty of an event
probability
This means that both events must be met for it to count as one value
Intersection (A∩B)
This means that the fulfillment of only A, only B, or both A and B is accounted for
Union (A∪B)
This means that the non-fulfillment or the converse/opposite event of A is the trigger for this operation.
Complement (Ā)
A and B are treated as separate events, cannot happen at the same time
mutually exclusive
represents all the outcomes that could possibly occur
sample space
P(S) = 1
an event that can never occur and has a probability of 0, whereas most events have probabilities between the value 0 and 1,
null event
A ∩ A^c = ɸ
when two events are mutually exclusive, the additive rule of probability states that the probability that either of the two events will occur is equal to the sum of the probabilities of the individual events
additive rule of probability
P(A∪B) = P(A) + P(B)
express answers in
*express answers in probability as either decimal (2 dec places) or percentage (%)
type of probability wherein the probability of one event is directly influenced by the probability of another event
conditional probability
This is expressed as P(A|B) wherein the probability of an event A is influenced by the existence of event B. How do you read it
“probability of A withing the existence of B”
*taken into account the multiplicative rule of probability
this states that the probability that two events A and B will both occur is equal to the probability of B multiplied by the conditional probability of A given that B has already occurred
multiplicative probability