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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 the probability of rolling an even number on a fair six-sided die?

Please select an answer first.

Correct answer: A

The correct answer is 12\frac{1}{2}.

  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 three even outcomes out of six, so P(even)=3/6=1/2.
  3. Check the result: The correct answer is 12\frac{1}{2}.

There are three even outcomes out of six, so P(even)=3/6=1/2.

2. QuestionMultiple choice

If A and B are disjoint with P(A)=0.4 and P(B)=0.3, what is P(A or B)?

Please select an answer first.

Correct answer: B

The correct answer is 0.7.

  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: For disjoint events, P(A or B)=P(A)+P(B)=0.4+0.3=0.7.
  3. Check the result: The correct answer is 0.7.

For disjoint events, P(A or B)=P(A)+P(B)=0.4+0.3=0.7.

3. QuestionMultiple choice

What is the complement rule for an event A?

Please select an answer first.

Correct answer: C

The correct answer is P(Ac)=1−P(A)P(A^c)=1-P(A).

  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: An event and its complement cover all outcomes, so their probabilities add to 1.
  3. Check the result: The correct answer is P(Ac)=1−P(A)P(A^c)=1-P(A).

An event and its complement cover all outcomes, so their probabilities add to 1.

4. QuestionMultiple choice

What is the probability of getting heads on both tosses of a fair coin?

Please select an answer first.

Correct answer: D

The correct answer is 14\frac{1}{4}.

  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 independent probability is 1/2 · 1/2 = 1/4.
  3. Check the result: The correct answer is 14\frac{1}{4}.

The independent probability is 1/2 · 1/2 = 1/4.

5. QuestionMultiple choice

What is the probability of drawing an ace from a standard 52-card deck?

Please select an answer first.

Correct answer: A

The correct answer is 113\frac{1}{13}.

  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 4 aces among 52 cards, so 4/52=1/13.
  3. Check the result: The correct answer is 113\frac{1}{13}.

There are 4 aces among 52 cards, so 4/52=1/13.

6. QuestionMultiple choice

If A and B are independent with P(A)=0.5 and P(B)=0.2, what is P(A and B)?

Please select an answer first.

Correct answer: B

The correct answer is 0.1.

  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: For independent events, multiply: P(A and B)=0.5(0.2)=0.1.
  3. Check the result: The correct answer is 0.1.

For independent events, multiply: P(A and B)=0.5(0.2)=0.1.

7. QuestionMultiple choice

Which formula defines conditional probability?

Please select an answer first.

Correct answer: C

The correct answer is P(A∣B)=P(A∩B)P(B)P(A\mid B)=\frac{P(A\cap B)}{P(B)}.

  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: Conditional probability restricts the sample space to B, giving the intersection divided by P(B).
  3. Check the result: The correct answer is P(A∣B)=P(A∩B)P(B)P(A\mid B)=\frac{P(A\cap B)}{P(B)}.

Conditional probability restricts the sample space to B, giving the intersection divided by P(B).

8. QuestionMultiple choice

What does it mean for two events to be mutually exclusive?

Please select an answer first.

Correct answer: D

The correct answer is They cannot occur together..

  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: Mutually exclusive events have no outcomes in common, so their intersection is empty.
  3. Check the result: The correct answer is They cannot occur together..

Mutually exclusive events have no outcomes in common, so their intersection is empty.

9. QuestionMultiple choice

A spinner has equal sections numbered 1 through 4. What is P(number greater than 2)?

Please select an answer first.

Correct answer: A

The correct answer is 12\frac{1}{2}.

  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 favorable outcomes are 3 and 4, so the probability is 2/4=1/2.
  3. Check the result: The correct answer is 12\frac{1}{2}.

The favorable outcomes are 3 and 4, so the probability is 2/4=1/2.

10. QuestionMultiple choice

What values can a probability take?

Please select an answer first.

Correct answer: B

The correct answer is Any value from 0 to 1 inclusive.

  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: Probability is between 0 and 1, inclusive.
  3. Check the result: The correct answer is Any value from 0 to 1 inclusive.

Probability is between 0 and 1, inclusive.

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