Statistics and Probability, NAPX-H4-NC03, NAPX-H3-NC09

Question

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Worked Solution

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Variant 0

DifficultyLevel

530

Question

Two identical spinners are spun at the same time and the two numbers they land on are added together.



Which total is most likely?

Worked Solution

Seven can be achieved in 6 different ways.

Spinner 1 1 2 3 4 5 6
Spinner 2 6 5 4 3 2 1


All other totals have less possible combinations.

∴\therefore 7 is the most likely.

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
question
Two identical spinners are spun at the same time and the two numbers they land on are added together.
sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2018/04/NAPX-H4-NC031.svg 320 indent vpad
Which total is most likely?
workedSolution
Seven can be achieved in 6 different ways.
>| Spinner 1| 1|2|3|4|5|6| |:-:|:-:|:-:|:-:|:-:|:-:|:-:| | Spinner 2| 6|5|4|3|2|1|

All other totals have less possible combinations. $\therefore$ {{{correctAnswer}}} is the most likely.
correctAnswer
7

Answers

Is Correct?Answer
x

4

✓

7

x

10

x

12

Variant 1

DifficultyLevel

535

Question

Two identical spinners are spun at the same time and the two numbers they land on are added together.



Which are the two least likely totals?

Worked Solution

The totals when the numbers are added together are shown in the grid below.

+ 1 2 3 4 5 6
1 2 3 4 5 6 7
2 3 4 5 6 7 8
3 4 5 6 7 8 9
4 5 6 7 8 9 10
5 6 7 8 9 10 11
6 7 8 9 10 11 12


All totals except 2 and 12 occur more than once.

∴\therefore 2 and 12 are the two least likely totals.

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
question
Two identical spinners are spun at the same time and the two numbers they land on are added together.
sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2018/04/NAPX-H4-NC031.svg 320 indent vpad
Which are the two least likely totals?
workedSolution
The totals when the numbers are added together are shown in the grid below.
>>|+| 1|2|3|4|5|6| |:-:|:-:|:-:|:-:|:-:|:-:|:-:| | 1| 2|3|4|5|6|7| | 2| 3|4|5|6|7|8| | 3| 4|5|6|7|8|9| | 4| 5|6|7|8|9|10| | 5| 6|7|8|9|10|11| | 6| 7|8|9|10|11|12|

All totals except {{{correctAnswer}}} occur more than once. $\therefore$ {{{correctAnswer}}} are the two least likely totals.
correctAnswer
2 and 12

Answers

Is Correct?Answer
x

1 and 6

x

3 and 11

✓

2 and 12

x

6 and 8

Tags

  • staging_suejones