Or press and hold the picture and choose “Save image”.
for Whoobee's shop
Sample Spaces: Lists, Tables & Tree Diagrams — Easy Worksheet 1
Grade 7 · MathSheets Name: ____________________ Date: __________
Find the sample space (all the possible outcomes), then answer the question. Write probabilities as fractions in simplest form.
How to solve
The sample space is the list of every possible outcome. When one step has 2 outcomes and the next has 6, there are 2 × 6 = 12 outcomes in all — a tree diagram shows each branch. If all outcomes are equally likely, probability = (number of outcomes in the event) ÷ (number of outcomes in the sample space).
Example
You spin a spinner with 5 equal sections and then pick a card from 4 cards numbered 1 to 4. How many outcomes are in the sample space?
Answer: 20
Not quite. The answer is
💡 The spinner has 5 outcomes and the coin has 2. Each spinner result can go with each of the 2, so multiply: 5 × 2 = 10. There are 10 outcomes.
✓ Correct!
Not quite. The answer is
💡 The spinner has 5 outcomes and the coin has 2. Each spinner result can go with each of the 2, so multiply: 5 × 2 = 10. There are 10 outcomes.
💡 How to solve: Sample Spaces: Lists, Tables & Tree Diagrams
The sample space is the list of every possible outcome. When one step has 2 outcomes and the next has 6, there are 2 × 6 = 12 outcomes in all — a tree diagram shows each branch. If all outcomes are equally likely, probability = (number of outcomes in the event) ÷ (number of outcomes in the sample space).
Try a similar one
You flip a coin and roll a number cube. What is the probability of getting heads and an even number?
✓ You've got it! Press Next to keep going. Not yet — the answer is . Read the steps above once more.
Not quite. The answer is
💡 The spinner has 6 outcomes and the number cube has 6. Each spinner result can go with each of the 6, so multiply: 6 × 6 = 36. There are 36 outcomes.
✓ Correct!
Not quite. The answer is
💡 The spinner has 6 outcomes and the number cube has 6. Each spinner result can go with each of the 6, so multiply: 6 × 6 = 36. There are 36 outcomes.
💡 How to solve: Sample Spaces: Lists, Tables & Tree Diagrams
The sample space is the list of every possible outcome. When one step has 2 outcomes and the next has 6, there are 2 × 6 = 12 outcomes in all — a tree diagram shows each branch. If all outcomes are equally likely, probability = (number of outcomes in the event) ÷ (number of outcomes in the sample space).
Try a similar one
You flip a coin and roll a number cube. What is the probability of getting heads and an odd number?
✓ You've got it! Press Next to keep going. Not yet — the answer is . Read the steps above once more.
Not quite. The answer is
💡 The spinner has 5 outcomes and the number cube has 6. Each spinner result can go with each of the 6, so multiply: 5 × 6 = 30. There are 30 outcomes.
✓ Correct!
Not quite. The answer is
💡 The spinner has 5 outcomes and the number cube has 6. Each spinner result can go with each of the 6, so multiply: 5 × 6 = 30. There are 30 outcomes.
💡 How to solve: Sample Spaces: Lists, Tables & Tree Diagrams
The sample space is the list of every possible outcome. When one step has 2 outcomes and the next has 6, there are 2 × 6 = 12 outcomes in all — a tree diagram shows each branch. If all outcomes are equally likely, probability = (number of outcomes in the event) ÷ (number of outcomes in the sample space).
Try a similar one
You flip a coin and roll a number cube. What is the probability of getting tails and a number greater than 4?
✓ You've got it! Press Next to keep going. Not yet — the answer is . Read the steps above once more.
Not quite. The answer is
💡 The coin has 2 outcomes and the cube has 6, so there are 2 × 6 = 12 equally likely outcomes (H1, H2, …, T6). The outcomes with heads and an odd number are H1, H3, H5: 3 of them. P = 312. Simplify: divide the top and the bottom by 3: 312 = 14. The probability is 14.
✓ Correct!
Not quite. The answer is
💡 The coin has 2 outcomes and the cube has 6, so there are 2 × 6 = 12 equally likely outcomes (H1, H2, …, T6). The outcomes with heads and an odd number are H1, H3, H5: 3 of them. P = 312. Simplify: divide the top and the bottom by 3: 312 = 14. The probability is 14.
💡 How to solve: Sample Spaces: Lists, Tables & Tree Diagrams
The sample space is the list of every possible outcome. When one step has 2 outcomes and the next has 6, there are 2 × 6 = 12 outcomes in all — a tree diagram shows each branch. If all outcomes are equally likely, probability = (number of outcomes in the event) ÷ (number of outcomes in the sample space).
Try a similar one
You flip a coin and roll a number cube. What is the probability of getting heads and an even number?
✓ You've got it! Press Next to keep going. Not yet — the answer is . Read the steps above once more.
Not quite. The answer is
💡 The spinner has 4 outcomes and the number cube has 6. Each spinner result can go with each of the 6, so multiply: 4 × 6 = 24. There are 24 outcomes.
✓ Correct!
Not quite. The answer is
💡 The spinner has 4 outcomes and the number cube has 6. Each spinner result can go with each of the 6, so multiply: 4 × 6 = 24. There are 24 outcomes.
💡 How to solve: Sample Spaces: Lists, Tables & Tree Diagrams
The sample space is the list of every possible outcome. When one step has 2 outcomes and the next has 6, there are 2 × 6 = 12 outcomes in all — a tree diagram shows each branch. If all outcomes are equally likely, probability = (number of outcomes in the event) ÷ (number of outcomes in the sample space).
Try a similar one
You spin a spinner with 8 equal sections and then pick a card from 4 cards numbered 1 to 4. How many outcomes are in the sample space?
✓ You've got it! Press Next to keep going. Not yet — the answer is . Read the steps above once more.
Not quite. The answer is
💡 The coin has 2 outcomes and the cube has 6, so there are 2 × 6 = 12 equally likely outcomes (H1, H2, …, T6). The outcomes with tails and a number greater than 4 are T5, T6: 2 of them. P = 212. Simplify: divide the top and the bottom by 2: 212 = 16. The probability is 16.
✓ Correct!
Not quite. The answer is
💡 The coin has 2 outcomes and the cube has 6, so there are 2 × 6 = 12 equally likely outcomes (H1, H2, …, T6). The outcomes with tails and a number greater than 4 are T5, T6: 2 of them. P = 212. Simplify: divide the top and the bottom by 2: 212 = 16. The probability is 16.
💡 How to solve: Sample Spaces: Lists, Tables & Tree Diagrams
The sample space is the list of every possible outcome. When one step has 2 outcomes and the next has 6, there are 2 × 6 = 12 outcomes in all — a tree diagram shows each branch. If all outcomes are equally likely, probability = (number of outcomes in the event) ÷ (number of outcomes in the sample space).
Try a similar one
You spin a spinner with 7 equal sections and then flip a coin. How many outcomes are in the sample space?
✓ You've got it! Press Next to keep going. Not yet — the answer is . Read the steps above once more.
Not quite. The answer is
💡 The coin has 2 outcomes and the cube has 6, so there are 2 × 6 = 12 equally likely outcomes (H1, H2, …, T6). The outcomes with heads and an even number are H2, H4, H6: 3 of them. P = 312. Simplify: divide the top and the bottom by 3: 312 = 14. The probability is 14.
✓ Correct!
Not quite. The answer is
💡 The coin has 2 outcomes and the cube has 6, so there are 2 × 6 = 12 equally likely outcomes (H1, H2, …, T6). The outcomes with heads and an even number are H2, H4, H6: 3 of them. P = 312. Simplify: divide the top and the bottom by 3: 312 = 14. The probability is 14.
💡 How to solve: Sample Spaces: Lists, Tables & Tree Diagrams
The sample space is the list of every possible outcome. When one step has 2 outcomes and the next has 6, there are 2 × 6 = 12 outcomes in all — a tree diagram shows each branch. If all outcomes are equally likely, probability = (number of outcomes in the event) ÷ (number of outcomes in the sample space).
Try a similar one
You spin a spinner with 4 equal sections and then flip a coin. How many outcomes are in the sample space?
✓ You've got it! Press Next to keep going. Not yet — the answer is . Read the steps above once more.
Not quite. The answer is
💡 The spinner has 8 outcomes and the card has 4. Each spinner result can go with each of the 4, so multiply: 8 × 4 = 32. There are 32 outcomes.
✓ Correct!
Not quite. The answer is
💡 The spinner has 8 outcomes and the card has 4. Each spinner result can go with each of the 4, so multiply: 8 × 4 = 32. There are 32 outcomes.
💡 How to solve: Sample Spaces: Lists, Tables & Tree Diagrams
The sample space is the list of every possible outcome. When one step has 2 outcomes and the next has 6, there are 2 × 6 = 12 outcomes in all — a tree diagram shows each branch. If all outcomes are equally likely, probability = (number of outcomes in the event) ÷ (number of outcomes in the sample space).
Try a similar one
You flip a coin and roll a number cube. What is the probability of getting tails and a number greater than 4?
✓ You've got it! Press Next to keep going. Not yet — the answer is . Read the steps above once more.
Log in to save your progress.
Sample Spaces: Lists, Tables & Tree Diagrams — Easy Worksheet 1
Find the sample space (all the possible outcomes), then answer the question. Write probabilities as fractions in simplest form.