Foundation June 2023 Paper 2 Q8
8 93 people were asked if they played online games one day.
The frequency tree shows some information about their answers.
(a) 75% of the people who answered Yes played one game.
Complete the frequency tree. [3 marks]
(b) One of the 93 people is chosen at random.
| P(used social media) is more than 0.68 |
What is the smallest possible number of people who used social media? [2 marks]
| Answer | Mark | Comments |
|---|---|---|
| 45 in No (Played) | B1 | |
| 36 in No (More than one game played?) | B1 | |
| 12 in Yes (More than one game played?) | B1ft | ft \(48 -\) their 36 their 36 must be a positive integer less than 48 |
Additional guidance
| Mark the frequency tree | |
 | B1B1B1 |
 | B1B0B1ft |
| Answer | Mark | Comments |
|---|---|---|
| Alternative method 1 | ||
| \(0.68 \times 93\) or 63.2(4) | M1 | oe |
| 64 | A1 | |
| Alternative method 2 | ||
| \(\dfrac{63}{93} = 0.67(…)\) or \(\dfrac{64}{93} = [0.68, 0.69]\) | M1 | other trials can be ignored |
| 64 | A1 | |
Additional guidance
| Answer only 64 | M1A1 |
| \(0.69 \times 93\) or 64.1(7) or 64.2 with answer 64 (without seeing \(0.68 \times 93\) or 63.2(4)) | M0A0 |
| For \(0.68 \times 93\), accept \(68\% \times 93\) but do not accept 68% of 93 unless recovered |