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Probability and Statistics Practice Tests

These Grade 11 Math practice tests build fluency with data summaries, probability rules, counting methods, distributions, sampling, expected value, standardized scores, correlation, and regression.

Skills covered

  • Calculating and interpreting mean, median, mode, range, quartiles, IQR, and standard deviation
  • Using complements, unions, intersections, conditional probability, independence, and mutually exclusive events
  • Applying permutations, combinations, factorials, and counting models
  • Interpreting normal distributions, z-scores, samples, populations, parameters, and statistics
  • Finding expected values, residuals, regression predictions, and appropriate conclusions about correlation

How to use these practice tests

Define the event or variable first, select the appropriate formula, keep probability values between 0 and 1, and distinguish sample statistics from population parameters when interpreting results.

For more Grade 11 Math practice, return to the Grade 11 Math category.

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Grade 11 Probability and Statistics Practice Tests

Practice Grade 11 Math questions about descriptive statistics, probability rules, conditional probability, counting, distributions, sampling, expected value, z-scores, and regression.

Choose the best answer. Show the relevant probability, counting, statistical, or modeling relationship and interpret the result in context.

10 Questions
0/10 Questions0 %
Correct 0
Incorrect 0
Unanswered 10
1. QuestionMultiple choice

What is 5!5!?

Please select an answer first.

Correct answer: A

The correct answer is 120.

  1. Identify the probability or statistics structure: Determine the data summary, event relationship, distribution, sampling feature, or model quantity involved.
  2. Apply the statistical relationship: 5! = 5·4·3·2·1 = 120.
  3. Check the result: The correct answer is 120.

5! = 5·4·3·2·1 = 120.

2. QuestionMultiple choice

How many ways can 2 objects be selected from 5 without regard to order?

Please select an answer first.

Correct answer: B

The correct answer is 10.

  1. Identify the probability or statistics structure: Determine the data summary, event relationship, distribution, sampling feature, or model quantity involved.
  2. Apply the statistical relationship: Use combinations: C(5,2)=5!/(2!3!)=10.
  3. Check the result: The correct answer is 10.

Use combinations: C(5,2)=5!/(2!3!)=10.

3. QuestionMultiple choice

How many ways can 3 distinct books be arranged on a shelf?

Please select an answer first.

Correct answer: C

The correct answer is 6.

  1. Identify the probability or statistics structure: Determine the data summary, event relationship, distribution, sampling feature, or model quantity involved.
  2. Apply the statistical relationship: The number of permutations is 3! = 6.
  3. Check the result: The correct answer is 6.

The number of permutations is 3! = 6.

4. QuestionMultiple choice

How many four-digit PINs are possible when digits may repeat?

Please select an answer first.

Correct answer: D

The correct answer is 10,000.

  1. Identify the probability or statistics structure: Determine the data summary, event relationship, distribution, sampling feature, or model quantity involved.
  2. Apply the statistical relationship: Each of the four positions has 10 choices, so 10^4=10,000.
  3. Check the result: The correct answer is 10,000.

Each of the four positions has 10 choices, so 10^4=10,000.

5. QuestionMultiple choice

How many ways can a president and vice president be selected from 6 people?

Please select an answer first.

Correct answer: A

The correct answer is 30.

  1. Identify the probability or statistics structure: Determine the data summary, event relationship, distribution, sampling feature, or model quantity involved.
  2. Apply the statistical relationship: Order matters for the two offices: 6P2=6·5=30.
  3. Check the result: The correct answer is 30.

Order matters for the two offices: 6P2=6·5=30.

6. QuestionMultiple choice

What is (62)\binom{6}{2}?

Please select an answer first.

Correct answer: B

The correct answer is 15.

  1. Identify the probability or statistics structure: Determine the data summary, event relationship, distribution, sampling feature, or model quantity involved.
  2. Apply the statistical relationship: C(6,2)=6!/(2!4!)=15.
  3. Check the result: The correct answer is 15.

C(6,2)=6!/(2!4!)=15.

7. QuestionMultiple choice

How many three-letter arrangements can be made from 5 distinct letters without repetition?

Please select an answer first.

Correct answer: C

The correct answer is 60.

  1. Identify the probability or statistics structure: Determine the data summary, event relationship, distribution, sampling feature, or model quantity involved.
  2. Apply the statistical relationship: Use permutations: 5P3=5·4·3=60.
  3. Check the result: The correct answer is 60.

Use permutations: 5P3=5·4·3=60.

8. QuestionMultiple choice

What is the probability of selecting 2 red balls from 5 red and 3 blue balls without replacement?

Please select an answer first.

Correct answer: D

The correct answer is 514\frac{5}{14}.

  1. Identify the probability or statistics structure: Determine the data summary, event relationship, distribution, sampling feature, or model quantity involved.
  2. Apply the statistical relationship: Use combinations: C(5,2)/C(8,2)=10/28=5/14.
  3. Check the result: The correct answer is 514\frac{5}{14}.

Use combinations: C(5,2)/C(8,2)=10/28=5/14.

9. QuestionMultiple choice

How many distinct arrangements can be made from the letters A, A, and B?

Please select an answer first.

Correct answer: A

The correct answer is 3.

  1. Identify the probability or statistics structure: Determine the data summary, event relationship, distribution, sampling feature, or model quantity involved.
  2. Apply the statistical relationship: There are 3!/2!=3 distinct arrangements because the two A's are identical.
  3. Check the result: The correct answer is 3.

There are 3!/2!=3 distinct arrangements because the two A's are identical.

10. QuestionMultiple choice

What is (100)\binom{10}{0}?

Please select an answer first.

Correct answer: B

The correct answer is 1.

  1. Identify the probability or statistics structure: Determine the data summary, event relationship, distribution, sampling feature, or model quantity involved.
  2. Apply the statistical relationship: There is exactly one way to choose no objects: choose the empty set.
  3. Check the result: The correct answer is 1.

There is exactly one way to choose no objects: choose the empty set.

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