Probability Quiz

Questions and Answers

What is the formula for theoretical probability?

P(E) = Number of favorable outcomes / Total number of possible outcomes (correct)

P(E) = Number of unfavorable outcomes / Total number of possible outcomes

P(E) = Total number of possible outcomes / Number of favorable outcomes

P(E) = Number of trials / Number of favorable outcomes

What is the range of values for a probability?

0 to 100

0 to 1 (correct)

-10 to 10

-1 to 1

What is the rule of probability that states the probability of an event and its complement add up to 1?

P(E) / P(E') = 1

P(E) × P(E') = 0

P(E) - P(E') = 1

P(E) + P(E') = 1 (correct)

What is the type of event where the occurrence of one event affects the probability of the other event?

Dependent Events Signup and view all the answers

What is the formula for conditional probability?

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

What is a probability distribution?

A graph that shows the probability of each possible value of a random variable Signup and view all the answers

What is the probability of two or more independent events?

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

What is the probability of an impossible event?

0 Signup and view all the answers

Study Notes

Probability

Definition

Probability is a measure of the likelihood of an event occurring.
It is a number between 0 and 1, where 0 represents an impossible event and 1 represents a certain event.

Experimental Probability

Experimental probability is the probability of an event occurring based on the results of an experiment.
It is calculated as the number of times the event occurs divided by the total number of trials.

Theoretical Probability

Theoretical probability is the probability of an event occurring based on the number of favorable outcomes divided by the total number of possible outcomes.
It is calculated using the formula: P(E) = Number of favorable outcomes / Total number of possible outcomes

Rules of Probability

The probability of an event is always between 0 and 1.
The probability of an impossible event is 0.
The probability of a certain event is 1.
The probability of an event and its complement (the event not occurring) add up to 1. P(E) + P(E') = 1
The probability of two or more independent events is the product of their individual probabilities. P(A and B) = P(A) × P(B)

Types of Events

Independent Events: Events where the occurrence of one event does not affect the probability of the other event.
Dependent Events: Events where the occurrence of one event affects the probability of the other event.
Mutually Exclusive Events: Events that cannot occur at the same time.
Exhaustive Events: Events that include all possible outcomes of an experiment.

Conditional Probability

Conditional probability is the probability of an event occurring given that another event has occurred.
It is calculated using the formula: P(A|B) = P(A and B) / P(B)

Probability Distribution

A probability distribution is a table or graph that shows the probability of each possible value of a random variable.
It is used to visualize and analyze the probability of different outcomes.

Definition of Probability

Probability quantifies the likelihood of an event, expressed as a value between 0 and 1.
A probability of 0 denotes an impossible event, while a probability of 1 signifies a certain event.