Probability Concepts and Relationships

Questions and Answers

What is the definition of probability?

the ratio of the number of favorable outcomes to the total number of outcomes possible

the set of all possible outcomes

the measure of how likely an event is to occur (correct)

the probability of the event not happening

What is the sample space?

the set of all possible outcomes

What is the theoretical probability of an event?

the ratio of the number of favorable outcomes to the total number of outcomes possible

What is the complement of an event?

the probability of the event not happening Signup and view all the answers

What are independent events?

when the outcome of one event does not affect the outcome of the other event Signup and view all the answers

What are dependent events?

when the outcome of one event does affect the outcome of the other event Signup and view all the answers

What is conditional probability?

the probability of event B occurring, knowing that event A has already occurred Signup and view all the answers

What is the notation for conditional probability?

P(B/A) Signup and view all the answers

How is P(B/A) read?

probability of B given A Signup and view all the answers

What is the conditional probability formula?

P(B/A)= P(B and A)/P(A) Signup and view all the answers

What is AND probability?

if 2 events are independent, then the probability of A and B is P(A) x P(B) Signup and view all the answers

What is OR probability?

P(A or B)= P(A) + P(B) - P(A and B) Signup and view all the answers

Study Notes

Probability Concepts

Probability: Measures the likelihood of an event occurring.
Sample Space: Represents the complete set of all possible outcomes for an experiment.
Theoretical Probability: Calculated as the ratio of favorable outcomes to total outcomes.

Event Relationships

Complement of an Event: Refers to the probability that the event does not occur.
Independent Events: Outcomes of one event do not influence the outcomes of another.
Dependent Events: The outcome of one event affects another. Probability is given by P(A and B) = P(A) x P(B after A).

Conditional Probability

Conditional Probability: Probability of one event occurring given that another event has already occurred.
Notation: Denoted as P(B/A), representing the probability of B given A.
Reading Conditional Probability: Understand it as the probability of B occurring given the occurrence of A.
Conditional Probability Formula: Expressed as P(B/A) = P(B and A)/P(A).

Probability Calculations

AND Probability: For independent events, the joint probability is P(A and B) = P(A) x P(B).
OR Probability: For calculating the probability of either event occurring, use P(A or B) = P(A) + P(B) - P(A and B).

Description

Explore the fundamentals of probability, including sample space, independent and dependent events, and conditional probability. This quiz will test your understanding of key probability concepts and how they interrelate. Perfect for students looking to solidify their knowledge in this essential mathematical area.