Probability Games and Worksheets

Learning Probability requires a balance of clear definitions, visual counting strategies, and real-world data interpretation.

Probability Vocabulary
Before calculating, students must understand the language of chance or probability.
Probability Vocabulary: Learn the terms used in Probability
The Probability Scale: Placing events on a line from 0 (Impossible) to 1 (Certain), with 0.5 being “Even Chance.”
Key Terms: Defining Experiment, Outcome, and Event.
Qualitative Descriptions: Sorting scenarios into “Likely,” “Unlikely,” and “Equally Likely.”

Simple Probability
Simple probability calculates the likelihood of a single event occurring using standard formula:
\(P(\text{Event}) = \frac{\text{Number of favorable outcomes}}{\text{Total number of possible outcomes}}\).
Simple Probability Problems:
Single-Step Events: Using 6-sided dice, coins, spinners, and standard decks of cards.
Set-Based Probability: Using “virtual” bags of marbles or jars of colored candies to practice counting a total sample space.
The “Not” Rule: P(not A) = 1 - P(A).

More Probability Word Problems
Each quiz has 10 multiple-choice questions to test your understanding of probability concepts. It covers scenarios like coin flips, dice rolls, drawing marbles, and spinners.
Probability Problems
Probability Problems 2
Probability Problems 3

Experimental vs. Theoretical Probability
Conducting Trials: Students flip a virtual coin 10 times vs. 1,000 times.
The Law of Large Numbers: Observe how experimental results get closer to the theoretical as the number of trials increases.
Weighted Probability Simulator

Compound (AND) Events (Independent and Dependent)
Two or more actions in a row.
Independent Events: Learning to multiply the probabilities (P(A) × P(B)).
Dependent Events: Learning the “Without Replacement” Rule.
Independent & Dependent Events: A mix of independent & dependent event problems.

Compound (OR) Events (Mutually Exclusive & Mutually Inclusive)
Mutually Exclusive Events: Events that cannot happen at the same time. (P(A or B) = P(A) + P(B)
Mutually Inclusive Events: Events that can happen at the same time. (P(A or B) = P(A) + P(B) - P(A ∪ B)
Mutually Exclusive & Inclusive Events

Probability Tree Diagrams
A visual way to map out all possible outcomes for multiple events.
Probability Tree Diagram Explorer
Probability Tree Diagram Quiz

Number of Possible Outcomes
Fundamental Counting Principle: Using multiplication to find the total number of possible outcomes.
Counting with & without Repetitions: Independent and Dependent Events.
Simplify Factorial Expressions
Permutations: Solve Permutation Word Problems.
Combinations: Solve Combination Word Problems.
Permutations/Combinations: Solve Permutation or Combination Word Problems.

Printable & Online Probability Worksheets

Probability Math Games

Probability Fair

This game allows students to earn tokens to the fair by demonstrating their understanding of probability. Once inside the fair, students can play a range of different probability games.

Probability

Suitable for Grade 3. Select from Certain, Probable, Unlikely and Impossible.

Monty Hall Game

Are you familiar with Monty Hall's Three Door Dilemma? It's an interesting probability question, and it's amazing how many people don't believe the truth when they hear it! Play the probability simulation to convince yourself of the truth.

Online Spinner

This wonderful online spinner enables you to easily gather independent random events of various kinds. It also automatically sums them up in a table below.

Ball Picking Machine

The first part of this game consists of some trials in which colored balls are shuffled inside the machine. The first part of this game consists of some trials in which colored balls are shuffled inside the machine. In every trial, two colored balls are given, and you have to estimate the chance of them being picked by the machine. The second part consists of a simulation: Balls are shuffled inside the machine, and every time you pull the handle, a ball is picked. There is a counter for every color, and you get to see the relative frequency of the colors that were picked. In every trial, two colored balls are given, and you have to estimate the chance of them being picked by the machine.

The Slushy Sludger

The concepts of "Impossible", "Probable" and "Certain" are represented in the activity in the terms of "no", "maybe" and "yes".

The Vile Vendor

Practice the concepts of "Impossible", "Unlikely", "Equal", "Likely" and "Certain" with this futuristic vending machine.

Probability as a Fraction

Using a deck of cards to illustrate the concept, this is a step by step tutorial with online practice and a test.

Find Probability

Using school raffle tickets to illustrate the concept, this is a step by step tutorial with online practice and a test.

Snail Race

Two dice are rolled and the sum calculated. The snail with that number takes one step forwards. The first snail to the end of the race track wins. Before playing the students could be asked to predict which snail will win.

Higher or Lower

Use your knowledge of probability to bet on whether the next card is higher or lower than the last one.

Probability Test

Calculate the probability of a single event occurring. Type in your answers as fractions in their lowest terms. You can earn a trophy if you get at least 7 answers correct.

Probability Worksheets

Probability Problems

Complementary Probability

Probability Problems

Probability & Geometry

Mutually Exclusive Probability

Independent Events Probability

Dependent Events Probability

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