Algebra 2 Conditional Probability and Independence Quiz: 10 Questions with Explanations

Algebra 2 math quiz: Conditional Probability and Independence – Maths PDF

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This probability quiz for Algebra 2 covers conditional probability and independence (Common Core S-CP.A.1, S-CP.A.2, S-CP.A.3, S-CP.A.4, S-CP.A.5, S-CP.B.6, S-CP.B.7, S-CP.B.8, S-CP.B.9), with a free PDF to print.

Answer ten multiple-choice questions on conditional probability and independence. Choose one option for each question, then read the explanation to see why the correct choice works and which mistake, such as treating dependent events as independent, each wrong choice shows.

Algebra 2 · Common Core State Standards: S-CP.A.1, S-CP.A.2, S-CP.A.3, S-CP.A.4, S-CP.A.5, S-CP.B.6, S-CP.B.7, S-CP.B.8, S-CP.B.9

Probability quiz: 10 questions

Question 1

What is \(P(\text{not } A)\) if \(P(A) = 0.35\)?

Question 2

What is \(P(A \text{ and } B)\) for independent events with \(P(A) = 0.5\) and \(P(B) = 0.2\)?

Question 3

All 36 outcomes for two dice; the sums of 7 are highlighted.

The highlighted cells show sums of 7. How many of the 36 outcomes have sum 7?

Question 4

Find \(P(A \text{ or } B)\) if \(P(A) = 0.4\), \(P(B) = 0.3\), and \(P(A \text{ and } B) = 0.1\).

Question 5

A two-way table of counts.

What is P(plays a sport | Grade 10) in the table?

Question 6

In how many ways can 4 runners finish 1st, 2nd and 3rd?

Question 7

How many 2-person teams can be chosen from 6 people?

Question 8

Two draws from a bag of 5 red (R) and 3 blue (B) marbles, without replacement.

From the tree, what is P(both blue) without replacement?

Question 9

Two events are independent when

Question 10

Venn diagram with counts.

The Venn diagram shows 30 students in chess and art clubs. What is P(chess or art)?

Remember

P(not A) = 1 – P(A); P(A or B) = P(A) + P(B) – P(A and B).
P(A given B) = P(A and B) / P(B).
Independent: P(A and B) = P(A)·P(B).
Multiplication rule: P(A and B) = P(A)·P(B given A).
Permutations P(n, r) = n!/(n – r)!; combinations C(n, r) = n!/(r!(n – r)!).

How to use this 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.

Download the probability quiz as a PDF with the button below and keep it with your notes.

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