Multiplying Along Branches: Fluency & Practice
Mathematics
Grade 7
11 questions
~22 mins
1 views0 downloads
About This Worksheet
A worksheet focusing on multiplying along branches in tree diagrams to find probabilities of two independent events. Designed for Grade 7 students to develop procedural mastery and problem-solving skills.
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Multiplying Along Branches: Fluency & Practice
Subject: MathematicsGrade: Grade 7
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Untitled Worksheet
Grade Grade 7
A
Practice Questions
Answer all questions. Show your working in the grid spaces provided.
1.
In a tree diagram, the probability of event A is 0.6, and the probability of event B given event A is 0.5. Calculate the probability that both events A and B occur.
[2 marks]2.
A bag contains 3 red and 2 blue balls. A ball is drawn, then replaced. The second draw's probability of drawing a blue ball is 0.4. What is the probability of drawing a red ball on the first draw?
[2 marks]3.
Construct a tree diagram representing two independent events, where the probability of event X is 0.7 and event Y is 0.4. Calculate the probability that both events occur.
[3 marks]4.
A student rolls a fair six-sided die and then flips a fair coin. Use a tree diagram to find the probability that the student rolls a 4 and flips heads.
[2 marks]5.
A weather forecast predicts a 0.8 chance of rain and a 0.6 chance of wind on a given day. Assuming independence, what is the probability it will be rainy and windy?
[2 marks]6.
A company tests two independent machines. Machine 1 has a 0.9 success rate, and Machine 2 has a 0.8 success rate. What is the probability both machines succeed?
[3 marks]7.
A box contains 4 defective and 16 good items. A sample of 2 items is drawn with replacement. Use a tree diagram to find the probability both items are defective.
[2 marks]8.
In a game, the probability of winning on the first try is 0.3, and the probability of winning on the second try (if the first was a loss) is 0.5. Assume independence. What is the probability of winning either on the first or second try?
[3 marks]9.
Construct a tree diagram for two independent events, where the probability of event M is 0.4 and event N is 0.7. Calculate the probability that neither event occurs.
[3 marks]10.
A card is drawn from a standard deck, then another card is drawn without replacement. Use a tree diagram to find the probability that both cards are aces.
[2 marks]11.
Identify and correct the mistake: If the probability of event C is 0.5 and independent, then the probability of C occurring twice is 1.
[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)
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Details
- Created
- 1/1/2026
- Updated
- 1/1/2026
- Type
- worksheet