Tree diagrams

Open Ended

How do tree diagrams help in visualizing and solving probability problems?

Multiple Choice

Why is it important to understand how to calculate probabilities using tree diagrams and two way tables in real-life situations?

• Because it helps in making informed decisions based on likelihoods

• Because it is only useful for exams

• Because it is not applicable outside mathematics

• Because it is a requirement for all jobs

Multiple Select

Which of the following are possible outcomes when picking two cards from the pack?

• Red, Red

• Red, Black

• Black, Red

• Black, Black

Open Ended

Explain how the probability tree diagram helps in calculating the chances of different outcomes when picking two cards from the pack.

Multiple Choice

What is the probability of picking two red cards in succession from the pack, with replacement?

• 0.16

• 0.24

• 0.36

• 0.4

Multiple Choice

What is the probability that only Amy will pass the driving test?

• 0.14

• 0.56

• 0.06

• 0.24

Open Ended

Explain how the 'Golden rules' help in completing a two-way table. Give an example using any table from the lesson.

Multiple Choice

What is the total number of students surveyed who are not vegetarians in Year 9?

• 54

• 25

• 79

• 63

Multiple Select

Which of the following statements are true about the two-way table in the 'Worked example' and the 'Golden rules'?

• The total number of people surveyed is 120.

• The sum of each row and column must match the totals.

• There are more males than females surveyed.

• The number of Labour votes by males is 32.

Open Ended

Complete the two-way table.

Open Ended

How do you think tree diagrams and two way tables can help you solve real-world problems involving probability?

Multiple Choice

Reflecting on today's lesson, which mathematical skill do you feel most confident about: solving equations, working with percentages, or problem-solving with sets?

• Solving equations

• Working with percentages

• Problem-solving with sets

• None of the above

Multiple Choice

Which of the following is NOT one of the objectives listed for today's lesson?

• Draw tree diagrams

• Work out probabilities from tree diagrams

• Complete Two Way Tables

• Calculate mean from frequency tables