Foundation June 2019 Paper 2 Q8
8.
(a)
James is looking at this set of numbers.
0·45 0·4 0·0005 1·25 0·99
He says,
“They are all probabilities because they are decimals.”
Is James correct? [1]
Yes ☐ No ☐
Give the reason for your answer.
(b) James rolled a fair 6-sided dice 24 times.
How many times would you expect James to roll a six? [1]
How many times would you expect James to roll a six? [1]
(c) 
The diagrams show a fair 4-sided spinner and a fair 6-sided spinner.
Which spinner has the greater chance of landing on a 2? [1]
4-sided spinner ☐ 6-sided spinner ☐
Show how you decide.
(d)
Jago is using a spinner.
The spinner can only land on one of the colours; purple, red, blue, orange or yellow.
The probabilities of yellow and purple occurring on any spin of the spinner are shown in the table below.
| Colour | Purple | Red | Blue | Orange | Yellow |
|---|---|---|---|---|---|
| Probability | 0·33 | 0·25 |
The probabilities of the spinner landing on red, blue and orange are all equal.
Complete the table. [3]
| Scheme | Marks | Comments |
|---|---|---|
| Indicates ‘No’ AND explains that e.g. ‘Probabilities should be between 0 and 1’ or '1.25 is greater than 1' or equivalent. | B1 | Allow 'Answer has to be less than 1' |
| Scheme | Marks | Comments |
|---|---|---|
| (1/6 of 24 =) 4 (times) | B1 |
| Scheme | Marks | Comments |
|---|---|---|
| Indicates '4-sided spinner' AND explains e.g. ‘1/4 is greater than 1/6’ or ‘1/4 is the greater proportion’ or equivalent. | E1 | Allow ‘less numbers on 4-sided’ or equivalent. Allow ‘the angle is greater on 4-sided’ Do not allow references to greater area or space. |
| Scheme | Marks | Comments |
|---|---|---|
| 1 – [0.33 + 0.25] (= 0.42) | M1 | Mark correct responses completed into the table. Allow for 3 numbers that add to 0.42 |
| ÷ 3 | m1 | |
| Table completed with 0.14 and 0.14 and 0.14 | A1 | CAO If table not completed, allow for unambiguous sight of an answer of 0.14. |
| (6) |