Statistics and Probability, NAPX-I3-NC16, NAPX-I2-31
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Variant 0
DifficultyLevel
579
Question
An ice hockey competition has six teams playing on the same day.
The table below shows the game order.
| Game |
Teams |
| 1 |
Kings vs Oilers |
| 2 |
Flames vs Penguins |
| 3 |
Canucks vs Rangers |
If no match ends in a draw, which of the following is possible?
Worked Solution
Since the Penguins and Canucks do not play each other, both can lose.
∴ Possible result: Penguins and Canucks both lose.
Question Type
Multiple Choice (One Answer)
Variables
| Variable name | Variable value |
| question | An ice hockey competition has six teams playing on the same day.
The table below shows the game order.
>>| Game | Teams |
|:-:|:-:|
| 1 | Kings vs Oilers|
| 2 | Flames vs Penguins|
| 3 | Canucks vs Rangers|
If no match ends in a draw, which of the following is possible? |
| workedSolution | Since the Penguins and Canucks do not play each other, both can lose.
$\therefore$ Possible result: {{{correctAnswer}}} |
| correctAnswer | Penguins and Canucks both lose. |
Answers
| Is Correct? | Answer |
| x | Rangers and Oilers are the only teams that lose. |
| x | Oilers, Flames, Canucks and Rangers all win. |
| ✓ | Penguins and Canucks both lose. |
| x | Kings win and Oilers win. |
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Variant 1
DifficultyLevel
580
Question
A soccer gala day has six teams playing in round one.
Matches can end in a draw.
The table below shows the game order.
| Game |
Teams |
| 1 |
Magpies vs Yabbies |
| 2 |
Devils vs Red Mist |
| 3 |
Lillies vs Mangroves |
Which of the following results is not possible?
Worked Solution
Since the Mangroves and Lillies play each other, both cannot win.
∴ Impossible result: Mangroves and Lillies both win.
Question Type
Multiple Choice (One Answer)
Variables
| Variable name | Variable value |
| question | A soccer gala day has six teams playing in round one.
Matches can end in a draw.
The table below shows the game order.
>>| Game | Teams |
|:-:|:-:|
| 1 | Magpies vs Yabbies|
| 2 | Devils vs Red Mist|
| 3 | Lillies vs Mangroves|
Which of the following results is not possible? |
| workedSolution | Since the Mangroves and Lillies play each other, both cannot win.
$\therefore$ Impossible result: {{{correctAnswer}}} |
| correctAnswer | Mangroves and Lillies both win. |
Answers
| Is Correct? | Answer |
| x | Red Mist and Lillies are the only teams who lose. |
| x | |
| ✓ | Mangroves and Lillies both win. |
| x | Magpies and Devils both lose. |