Drawing a sample-space diagram
Drawing a sample-space diagram.
- Identify the outcomes that are still possible after applying the condition.
- Use the number or probability meeting both requirements in the numerator.
- The denominator comes from the restricted sample space, not automatically the original total.
Example 1
Spin A (1 to 2) and
| A \ B | 1 | 2 |
|---|---|---|
| 1 | ||
| 2 |
| A \ B | 1 | 2 |
|---|---|---|
| 1 | 2 | 3 |
| 2 | 3 | 4 |
Black: given data. Blue: working we add.
Put one experiment along the top and the other down the side. Fill every cell once.
Example 2
Spin A (1 to 3) and
| A \ B | 1 | 2 |
|---|---|---|
| 1 | ||
| 2 | ||
| 3 |
| A \ B | 1 | 2 |
|---|---|---|
| 1 | 2 | 3 |
| 2 | 3 | 4 |
| 3 | 4 | 5 |
Black: given data. Blue: working we add.
Put one experiment along the top and the other down the side. Fill every cell once.
Your turn
Spin A (1 to 4) and
| A \ B | 1 | 2 |
|---|---|---|
| 1 | ||
| 2 | ||
| 3 | ||
| 4 |
Check answer
| A \ B | 1 | 2 |
|---|---|---|
| 1 | 2 | 3 |
| 2 | 3 | 4 |
| 3 | 4 | 5 |
| 4 | 5 | 6 |
Black: given data. Blue: working we add.
Put one experiment along the top and the other down the side. Fill every cell once.
Spin A (1 to 5) and
| A \ B | 1 | 2 |
|---|---|---|
| 1 | ||
| 2 | ||
| 3 | ||
| 4 | ||
| 5 |
Check answer
| A \ B | 1 | 2 |
|---|---|---|
| 1 | 2 | 3 |
| 2 | 3 | 4 |
| 3 | 4 | 5 |
| 4 | 5 | 6 |
| 5 | 6 | 7 |
Black: given data. Blue: working we add.
Put one experiment along the top and the other down the side. Fill every cell once.
Spin A (1 to 2) and
| A \ B | 1 | 2 | 3 |
|---|---|---|---|
| 1 | |||
| 2 |
Check answer
| A \ B | 1 | 2 | 3 |
|---|---|---|---|
| 1 | 2 | 3 | 4 |
| 2 | 3 | 4 | 5 |
Black: given data. Blue: working we add.
Put one experiment along the top and the other down the side. Fill every cell once.
Spin A (1 to 3) and
| A \ B | 1 | 2 | 3 |
|---|---|---|---|
| 1 | |||
| 2 | |||
| 3 |
Check answer
| A \ B | 1 | 2 | 3 |
|---|---|---|---|
| 1 | 2 | 3 | 4 |
| 2 | 3 | 4 | 5 |
| 3 | 4 | 5 | 6 |
Black: given data. Blue: working we add.
Put one experiment along the top and the other down the side. Fill every cell once.
Spin A (1 to 4) and
| A \ B | 1 | 2 | 3 |
|---|---|---|---|
| 1 | |||
| 2 | |||
| 3 | |||
| 4 |
Check answer
| A \ B | 1 | 2 | 3 |
|---|---|---|---|
| 1 | 2 | 3 | 4 |
| 2 | 3 | 4 | 5 |
| 3 | 4 | 5 | 6 |
| 4 | 5 | 6 | 7 |
Black: given data. Blue: working we add.
Put one experiment along the top and the other down the side. Fill every cell once.
Spin A (1 to 4) and
| A \ B | 1 | 2 |
|---|---|---|
| 1 | ||
| 2 | ||
| 3 | ||
| 4 |
| A \ B | 1 | 2 |
|---|---|---|
| 1 | 2 | 3 |
| 2 | 3 | 4 |
| 3 | 4 | 5 |
| 4 | 5 | 6 |
Black: given data. Blue: working we add.
Put one experiment along the top and the other down the side. Fill every cell once.
Spin A (1 to 5) and
| A \ B | 1 | 2 |
|---|---|---|
| 1 | ||
| 2 | ||
| 3 | ||
| 4 | ||
| 5 |
| A \ B | 1 | 2 |
|---|---|---|
| 1 | 2 | 3 |
| 2 | 3 | 4 |
| 3 | 4 | 5 |
| 4 | 5 | 6 |
| 5 | 6 | 7 |
Black: given data. Blue: working we add.
Put one experiment along the top and the other down the side. Fill every cell once.
Spin A (1 to 2) and
| A \ B | 1 | 2 | 3 |
|---|---|---|---|
| 1 | |||
| 2 |
| A \ B | 1 | 2 | 3 |
|---|---|---|---|
| 1 | 2 | 3 | 4 |
| 2 | 3 | 4 | 5 |
Black: given data. Blue: working we add.
Put one experiment along the top and the other down the side. Fill every cell once.
Spin A (1 to 3) and
| A \ B | 1 | 2 | 3 |
|---|---|---|---|
| 1 | |||
| 2 | |||
| 3 |
| A \ B | 1 | 2 | 3 |
|---|---|---|---|
| 1 | 2 | 3 | 4 |
| 2 | 3 | 4 | 5 |
| 3 | 4 | 5 | 6 |
Black: given data. Blue: working we add.
Put one experiment along the top and the other down the side. Fill every cell once.
Spin A (1 to 4) and
| A \ B | 1 | 2 | 3 |
|---|---|---|---|
| 1 | |||
| 2 | |||
| 3 | |||
| 4 |
| A \ B | 1 | 2 | 3 |
|---|---|---|---|
| 1 | 2 | 3 | 4 |
| 2 | 3 | 4 | 5 |
| 3 | 4 | 5 | 6 |
| 4 | 5 | 6 | 7 |
Black: given data. Blue: working we add.
Put one experiment along the top and the other down the side. Fill every cell once.