AP Statistics Conditional Probability and Independence Quiz: 10 Questions with Explanations

AP Statistics math quiz: Conditional Probability and Independence – Maths PDF

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This conditional probability quiz for AP Statistics covers conditional probability and independence (Common Core AP STAT 4.5, AP STAT 4.6, HSS-CP.A.2, HSS-CP.A.3, HSS-CP.A.4, HSS-CP.B.6, HSS-CP.B.8), with a free PDF to print.

Ten multiple-choice questions test the language of conditioning and independence. Read each explanation to see how the denominator changes with the given event.

AP Statistics · Common Core State Standards: AP STAT 4.5, AP STAT 4.6, HSS-CP.A.2, HSS-CP.A.3, HSS-CP.A.4, HSS-CP.B.6, HSS-CP.B.8

Conditional probability quiz: 10 questions

Question 1

Two-way table.

What is P(A | Y)?

Question 2

A tree.

What is P(S)?

Question 3

Independence.

If P(A | B) = P(A), the events are:

Question 4

If A and B are independent with P(A) = 0.5 and P(B) = 0.4, then P(A and B) =

Question 5

A and B are mutually exclusive and P(A) > 0, P(B) > 0. They are:

Question 6

P(A and B) = 0.12 and P(B) = 0.4. P(A | B) =

Question 7

Two cards are drawn without replacement. P(both aces) =

Question 8

P(A) = 0.6, P(B) = 0.5, and A, B are independent. P(A or B) =

Question 9

The probability of passing a quiz is 0.7. Of passing both of two independent quizzes is:

Question 10

P(+ | disease) = 0.99 does NOT mean:

Remember

P(A | B) = P(A and B) / P(B): restrict to the outcomes where B occurred.
General multiplication rule: P(A and B) = P(B) P(A | B).
Independent: P(A | B) = P(A), so P(A and B) = P(A) P(B).
Mutually exclusive events with positive probabilities are never independent.
Tree diagrams multiply along branches and add the paths that fit the event.

How to use this conditional probability quiz

Answer each question, read the explanation that appears, and keep track of your score. A score of 8 out of 10 or more means you are ready for the test.

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