Handling Data 5
2 marks · EasyMia flips two different coins. She draws a tree diagram to show the possible outcomes. Explain why a tree diagram is helpful for finding the probabilities of different results.
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A tree diagram shows all the possible outcomes and their probabilities, making it easier to calculate the total probability for each event.
Also accept: It helps see every possible result and makes adding up probabilities easy.; Shows all outcomes and how to work out combined probabilities.
Common mistakes: It is neat.; It makes the question easier (without explanation).
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Marking points
B1 · 1 mark · For explaining that tree diagrams list/show all possible outcomes
B2 · 1 mark · For stating that it helps to calculate the probabilities for each outcome/event
Worked solution
A tree diagram lists all possible outcomes for the two coins. It makes it clear how to calculate every probability by showing each branch.