Foundation June 2019 Paper 2 Q7
7 In a game, a fair 3-sided spinner is spun once and a fair dice is rolled once.
The spinner can land on 1, 2 or 3
The dice can land on 1, 2, 3, 4, 5 or 6
In the game, the score is found by multiplying the number the spinner lands on by the number the dice lands on.
Eleven of the scores have been done for you.
| Dice | |||||||
|---|---|---|---|---|---|---|---|
| 1 | 2 | 3 | 4 | 5 | 6 | ||
| Spinner | 1 | 1 | 2 | 3 | 4 | ||
| 2 | 4 | 8 | 10 | ||||
| 3 | 3 | 6 | 12 | 18 | |||
Steven plays the game once.
Adam plays the game and Carmen plays the game.
Adam gets a prize if his score is 5 or less.
Carmen gets a prize if her score is a multiple of 6
Carmen says the game is unfair because Adam is more likely to get a prize.
You must give a reason for your answer. (2)
| Scheme | Marks | ||||||||||||||||||||||||||||||||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
Answer: Fully correct table | B2 | ||||||||||||||||||||||||||||||||||||||
| (2) | |||||||||||||||||||||||||||||||||||||||
Notes
B2: fully correct table
(B1 for 4 or 5 or 6 correct entries)
| Scheme | Marks |
|---|---|
| M1 | |
| \(\dfrac{4}{18}\) | A1 |
| (2) |
Notes
M1: for \(\dfrac{a}{18}\) where 0 < a < 18 or for \(\dfrac{4}{b}\) where b > 4
A1: oe accept 0.22(2…..) or 22.(2…..)%
| Scheme | Marks |
|---|---|
| \(\dfrac{\text{``}{8}\text{''}}{18}, \dfrac{\text{``}{6}\text{''}}{18}\) or “8”, “6” or 0.4(4..), 0.3(3..) or 40%, 30% or better | M1 |
| Yes oe with reason | A1 |
| (2) | |
| (6 marks) |
Notes
M1: ft from their complete table for two figures that can be used for comparison, one of which must be correct