The Probability of me Aceing this test is 100%.
A phenomenon is random if we know what outcomes could happen, but not which particular values will happen.
What is a random phenomenon?
A single attempt or realization of a random phenomenon.
What is a trial?
The _________ of a trial is the value measured, observed, or reported for an individual instance of that trial.
What is an outcome?
A collection of outcomes. Usually, we identify ________ so that we can attach probabilities to them. We denote events with bold capital letters such as A, B, or C.
What is an Event?
The collection of all possible outcome values. The ______ _______ has a probability of 1.
What is the Sample Space?
The incorrect belief that many people have that an outcome of a random event that has not occurred in many trials is "due" to occur.
What is the Nonexistent Law Of Averages?
The probability found when a trial run is carried out. The opposite of theoretical probability is _________ __________.
What is Experimental Probability?
If A and B are disjoint events, then the probability of A or B is
P(A U B) = P(A)+P(B).
What is the Addition Rule?
If A and B are independent events, then the probability of A and B is
P(A n B) = P(A) x P(B).
What is the Multiplication Rule?
A probability has to be between 0 and 1, it can also be stated as a ____________ between 0 and a 100.
What is a Percentage?
The __________ of an event is a number between 0 and 1 that reports the long-run frequency of that event’s occurrence. We write P (A) for the _________ of the event A.
What is Probability?
Two events are independent if learning that one event occurs does not change the probability that the other event occurs.
What is Independence?
When a probability is based on a model (such as equally likely outcomes), it is called a __________ __________.
What is Theoretical Probability?
When a probability is subjective and represents your personal degree of belief, it is called a ___________ ______________.
What is Personal Probablity?
The probability of an event occurring is 1 minus the probability that it doesn’t occur.
P(A) = 1 - P(AC)
What is the Complement Rule?
The _____________________ states that the long-run relative frequency of repeated independent events gets closer and closer to the true relative frequency as the number of trials increases.
What is the Law of Large Numbers?
The probability of the entire sample space must be 1. P(S) =1.
What is the Probability Assignment Rule?
An assignment of probabilities to outcomes is legitimate if
■ each probability is between 0 and 1 (inclusive).
■ the sum of the probabilities is 1
What is the Legitimate Probability Assignment?
We often require events to be independent. (So you should think about whether this assumption is reasonable).
What is the Independence Assumption?
Two events are ________ if they share no outcomes in common. If A and B are ________, then knowing that A occurs tells us that B cannot occur. _______ events are also called “mutually exclusive”.
What is Disjoint?