1MA0 Foundation November 2014 Paper 2 Q17
17 100 students each chose one activity.
Each student chose bowling or karting or ice skating.
The two-way table shows some information about the activities the students chose.
| Bowling | Karting | Ice skating | Total | |
|---|---|---|---|---|
| Boys | 13 | 47 | ||
| Girls | 34 | |||
| Total | 26 | 20 | 100 |
(a) Complete the two-way table. (3)
One of the boys is chosen at random.
(b) What is the probability that this boy chose karting? (2)
| Answer | Mark | Notes |
|---|---|---|
| 3 | B3 for fully correct table (B2 for 3 or 4 or 5 correct entries) (B1 for 1 or 2 correct entries) |
Answer
| 14 | 13 | 20 | 47 |
| 12 | 7 | 34 | 53 |
| 26 | 20 | 54 | 100 |
| Answer | Mark | Notes |
|---|---|---|
| \(\dfrac{13}{47}\) | 2 | M1 for \(\dfrac{13}{n}\), \(n \gt 13\) or for \(\dfrac{n}{47}\), \(n \lt 47\) A1 for \(\tfrac{13}{47}\) (or 0.27 – 0.28 or 27% – 28%) |