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AP Statistics Probability Formulas

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Questions and Answers

What is the formula for mutually exclusive events?

P(A or B) = P(A) + P(B) (correct)

P(A or B) = P(A) + P(B) - P(A and B)

P(B|A) = P(A and B) / P(A)

P(A and B) = P(A) + P(B)

What is the general addition rule formula?

P(A and B) = P(A) P(B|A)

P(A or B) = P(A) + P(B) - P(A and B) (correct)

P(B|A) = P(A and B) / P(A)

P(A or B) = P(A) + P(B)

What is the formula for the general multiplication rule?

P(A or B) = P(A) + P(B)

P(A and B) = P(A) P(B|A) (correct)

P(B|A) = P(A and B) / P(A)

P(A|B) = P(A and B) / P(B)

What is the multiplication rule for independent events?

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

What is the formula for conditional probability?

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

Study Notes

Mutually Exclusive Events

Mutually exclusive events cannot occur at the same time.
Probability formula: P(A or B) = P(A) + P(B).

General Addition Rule

Applies to any two events, whether they are mutually exclusive or not.
Probability formula: P(A or B) = P(A) + P(B) - P(A and B).

General Multiplication Rule

Used to find the probability of the occurrence of two events A and B together.
Probability formula: P(A and B) = P(A) * P(B|A), where P(B|A) is the conditional probability of B given A.

Multiplication Rule for Independent Events

For independent events, the occurrence of one does not affect the other.
Probability formula: P(A and B) = P(A) * P(B).

Conditional Probability Formula

Conditional probability measures the likelihood of an event occurring given that another event has already occurred.
Probability formula: P(B|A) = P(A and B) / P(A).

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Description

Test your knowledge of essential probability formulas used in AP Statistics. This quiz focuses on concepts such as mutually exclusive events, addition rules, and multiplication rules. Perfect for students looking to reinforce their understanding and prepare for exams.