Multiplying Along Branches: Real-world Applications in Gaming & Technology
Mathematics
Grade 7
15 questions
~30 mins
1 views0 downloads
About This Worksheet
A worksheet on multiplying probabilities along branches in tree diagrams, with real-world contexts related to gaming and technology. Focuses on understanding independent events and their combined probabilities.
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Full preview • 15 questions
Multiplying Along Branches: Real-world Applications in Gaming & Technology
Subject: MathematicsGrade: Grade 7
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Untitled Worksheet
Grade Grade 7
A
Introduction
Read the key concept below before attempting the questions.
1.
To find the probability of two independent events both occurring, multiply the probability of the first event by the probability of the second event, following the branches in the tree diagram.
[2 marks]B
Fluency & Practice
Answer these basic questions to practice multiplying probabilities along branches.
1.
A gaming app randomly assigns one of 4 themes to users, each with equal chance. Then it randomly assigns one of 3 background music options. What is the probability that a user gets the 'Space' theme and 'Ambient' music?
[2 marks]2.
In a tech store, the chance of a customer choosing a gaming laptop is 1/5, and the chance of them also choosing a high-end headset is 1/4. What is the probability a customer chooses both?
[2 marks]3.
A software randomly selects a game genre (Action, Puzzle, Adventure) with equal probability. Then it randomly assigns a difficulty level (Easy, Hard). What is the probability that a player gets a Puzzle game with Hard difficulty?
[2 marks]4.
Calculate the combined probability of two independent events: Event A has a probability of 1/3, and Event B has a probability of 1/2.
[2 marks]C
Targeted Practice
Apply the concept to more complex or real-world situations.
1.
A streaming platform recommends a genre (Comedy, Drama, Sci-Fi) with equal chances. After the genre is selected, it recommends a specific show within that genre with equal probability. What is the probability that a user is recommended a Sci-Fi show?
[2 marks]2.
In a gaming tournament, the chance of winning a match is 3/4. The tournament has 2 rounds, independent of each other. What is the probability that a player wins both rounds?
[2 marks]3.
A tech company randomly assigns a device type (Laptop, Tablet, Smartphone) with probabilities 1/2, 1/4, 1/4 respectively. Then it randomly assigns a warranty option (Standard, Extended) with equal probability. Find the probability a customer gets a Laptop with Extended warranty.
[2 marks]4.
A game randomly generates a weapon type (Sword, Bow, Staff) with equal probabilities. Then it assigns a rarity level (Common, Rare, Epic) with equal probabilities. What is the probability of getting an Epic Bow?
[2 marks]D
Challenging & Extension
Tackle these more difficult problems to challenge your understanding.
1.
A gaming app assigns a character class (Warrior, Mage, Rogue) with probabilities 1/3 each. Then, it assigns a special skill (Yes, No) with probabilities 1/2 each. What is the probability that a user gets a Mage with a special skill?
[3 marks]2.
In a tech store, 1/6 of customers buy a gaming console, and 1/4 of those buy an extra controller. If two customers make purchases independently, what is the probability that both buy a console and an extra controller?
[3 marks]E
Mixed Review
Answer a variety of questions to review your understanding of multiplying along branches.
1.
A streaming service recommends a genre (Horror, Romance, Action) with equal chances. After choosing a genre, it recommends a show from within that genre with equal probability. What is the probability that a user gets recommended a Romance show?
[2 marks]2.
A gaming platform randomly assigns a seat to a player from 1 to 10. What's the probability that the seat number is even and less than 6?
[2 marks]F
Error Analysis
Identify and correct common mistakes made when multiplying probabilities along branches.
1.
A student calculates the probability of two independent events as 1/3 + 1/4 = 7/12. Identify the mistake and provide the correct method.
[3 marks]2.
A student mistakenly multiplies probabilities but forgets to convert fractions to decimals or vice versa. How should they properly multiply 1/2 and 1/3?
[3 marks]Quick Actions
What is Remix?
Create a new worksheet based on this one. Change the grade level, topic, number of questions, or difficulty - then generate a fresh version.
- • Change grade level (Grade 6 → Grade 7)
- • Swap topics (Harry Potter → Macbeth)
- • Add more questions (10 → 15)
- • Adjust difficulty
Details
- Created
- 1/1/2026
- Updated
- 1/1/2026
- Type
- worksheet