Probability lec Flashcards
Result of an observation or experiment, or the descriptor or some potential outcome.
EVENT
A subset of the set of all possible outcomes of a probabilistic experiment.
EVENT
In probability studies, events are represented by
uppercase letters (A, B, etc.).
The measure of the likelihood of an event happening.
* Measures the certainty of an event.
PROBABILITY
The intersection of two events is read as
“both A and B”.
INTERSECTION (A∩B)
. If either A and B are not fulfilled, this event, this intersection is not counted/valued for.
INTERSECTION (A∩B)
The union of two events is read as
“Either A or B, or
both A and B”.
UNION (A∪B)
The complement of an event is read as “Not A”. this means that the non-fulfillment or the converse/opposite event of A is the trigger for this operation.
COMPLEMENT (Ac or Ā)
In the Venn diagram below, the area within the rectangle box represents all the outcomes
sample space
Represents all the outcomes that could possibly occur,
sample space
sample space symbol
P(S)=1
An event that can never occur and has a probability of zero, whereas most events have probabilities between the value 0 and 1.
NULL EVENT
NULL EVENT symbol
A∩Ac=∅
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
ADDITIVE RULE OF PROBABILITY formula
P(A∪B) = P(A) + P(B)