Independent Events Worksheet/Game

Independent Events Worksheet/Game
Welcome to Independent Events Worksheet/Game. Independent probability refers to the likelihood of two or more events occurring where the outcome of one event does not affect or change the probability of the other(s).

This game is designed to test your ability to calculate the probability of independent events. Scroll down the page for a more detailed explanation.

 

 

Probability of Dependent Events
For independent events that happens in sequence or together, the joint probability is calculated by multiplying their individual probabilities:
P(A and B) = P(A) × p(B)

How to play the Independent Events Worksheet/Game
Game Controls & Interface
The Question: A scenario will appear in the center of the card (e.g., flipping a coin and rolling a die).
The Options: You are given four fractions. One is the correct simplified answer; the others are distractors.
Progress Bar: The blue bar at the top tracks your journey. You need to complete all 30 questions to finish the marathon.
Audio Cues: Listen for a “ding” for a correct answer and a “buzz” for a mistake.

How to Play:
The Multiplication Rule
To find the correct answer, follow these three steps for every question:
Identify Event A: Find the probability of the first thing happening.
Example: Flipping Heads = 1/2.
Identify Event B: Find the probability of the second thing happening.
Example: Rolling a ‘6’ on a die = 1/6.
Multiply Them: Multiply the two fractions together.
1/2 × 1/6 = 1/12.

Watch Out for “The Trap”
The most common mistake in probability is adding the fractions instead of multiplying them.
Adding is for “Or” problems (e.g., “What is the chance of rolling a 5 OR a 6?”).
Multiplying is for “And” problems (e.g., “What is the chance of rolling a 5 AND then rolling a 6?”).
Since this game is about events happening in a sequence or together, always multiply.

Tip:
Simplify Your Fractions
The game expects the simplest form of a fraction. If your math gives you 4/100, look for the option that says 1/25.
Example from the game: An archer hits a target 80% (4/5) of the time. To hit it twice:
\(\frac{4}{5} \times \frac{4}{5} = \frac{16}{25}\)

Independent Events

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Try out our new and fun Fraction Concoction Game.

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