Systematic Listing: Outcomes, Tables and Tree Diagrams (Year 9)
Free printable NZ Year 9 maths worksheet: systematically list every outcome for combined events, use the counting principle, and read a tree diagram of three coin flips.
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Grade 8 · Math worksheet
Name
Date
Math
Systematic Listing: Outcomes, Tables and Tree Diagrams
List every possible outcome systematically (so none are missed), or use the counting principle to find the total number of outcomes.
- 1.List all the possible outcomes when you flip a coin and roll a fair six-sided die.
- 2.List all the possible outcomes when you flip two fair coins.
- 3.List all the possible outcomes when you roll a four-sided die (numbered 1 to 4) and flip a coin.
- 4.List all the possible outcomes when you spin a 3-colour spinner (red, blue, green) and flip a coin.
- 5.A shop offers 6 shirts, 2 pairs of trousers and 6 pairs of shoes. If you choose exactly one of each, how many different combinations are possible?
- 6.A shop offers 3 starters, 2 main courses and 6 desserts. If you choose exactly one of each, how many different combinations are possible?
- 7.A shop offers 5 shirts, 6 pairs of trousers and 6 pairs of shoes. If you choose exactly one of each, how many different combinations are possible?
- 8.A shop offers 3 starters, 2 main courses and 5 desserts. If you choose exactly one of each, how many different combinations are possible?
- 9.Three fair coins are flipped. Using a tree diagram (or a systematic list) of all 8 outcomes, find the probability of getting exactly 2 heads.
- 10.Three fair coins are flipped. Using a tree diagram (or a systematic list) of all 8 outcomes, find the probability of getting exactly 3 heads.
- 11.Three fair coins are flipped. Using a tree diagram (or a systematic list) of all 8 outcomes, find the probability of getting exactly 1 head.
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