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Probability Quiz for Grade 8

10 math questions on probability with answers, written for Grade 8. Use it as it is, change any question, print it with an answer key, or give it online and let it grade itself.

1.
What is the probability of flipping a fair coin and getting heads? (Multiple choice)
  1. 1
  2. 1/4
  3. 1/3
  4. 1/2
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1/2

A fair coin has two equally likely outcomes, so the probability of heads is 1 out of 2.
2.
If you roll a standard six-sided die, what is the probability of rolling a number greater than 4? (Multiple choice)
  1. 1/2
  2. 2/3
  3. 1/3
  4. 1/6
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1/3

Numbers greater than 4 are 5 and 6, so 2 outcomes out of 6 total, which simplifies to 1/3.
3.
The probability of an impossible event is zero. (True or false)
  1. True
  2. False
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True

Impossible events cannot happen, so their probability is zero.
4.
The sum of the probabilities of all possible outcomes of an experiment is always 1. (True or false)
  1. True
  2. False
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True

All possible outcomes together cover the entire sample space, so their probabilities add to 1.
5.
Name the term for the set of all possible outcomes in a probability experiment. (Identification)
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sample space

The sample space is the collection of all possible outcomes.
6.
The probability of an event happening is always a number between _____ and 1. (Fill in the blank)
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0

Probability values range from 0 (impossible) to 1 (certain).
7.
If two events cannot happen at the same time, they are called: (Multiple choice)
  1. independent
  2. mutually exclusive
  3. complementary
  4. dependent
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mutually exclusive

Mutually exclusive events cannot occur simultaneously.
8.
What is the probability of drawing a red card from a standard deck of 52 cards? (Multiple choice)
  1. 1/2
  2. 1/3
  3. 1/4
  4. 1/13
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1/2

Half of the cards in a deck are red (hearts and diamonds), so probability is 26/52 = 1/2.
9.
Match each term with its correct definition. (Matching type)
1. Event
A. Events that cannot happen at the same time
2. Sample space
B. A specific outcome or set of outcomes
3. Probability
C. A measure of how likely an event is to occur
4. Mutually exclusive
D. All possible outcomes
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1 = A specific outcome or set of outcomes; 2 = All possible outcomes; 3 = A measure of how likely an event is to occur; 4 = Events that cannot happen at the same time

Each term is matched to its correct definition related to probability.
10.
List three examples of events that are mutually exclusive. (Enumeration)
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Rolling a 1 on a die, Rolling a 2 on a die, Rolling a 3 on a die

These events cannot occur at the same time when rolling one die.