Foundation January 2019 Paper 2R Q6
6 80 students studying sciences were asked which science subject they liked the best.
Some information about the results is shown in the two-way table.
| Biology | Chemistry | Physics | Total | |
|---|---|---|---|---|
| Boys | 25 | 7 | ||
| Girls | 4 | 43 | ||
| Total | 31 | 80 |
(a) Complete the two-way table. (3)
One of the students is picked at random.
(b) Write down the probability that this student is a girl. (1)
One of the girls is picked at random.
(c) Write down the probability that this girl likes Chemistry the best. (2)
| Scheme | Marks | ||||||||||||||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
Answer: Correct completed table | M2 | ||||||||||||||||||||
| A1 | |||||||||||||||||||||
| (3) |
Notes
M2: for at least 4 correct entries or M1 for at least 2 correct entries
A1: fully correct table.
| Scheme | Marks |
|---|---|
| \(\dfrac{43}{80}\) | B1 |
| (1) |
Notes
B1: 0.5375 or 0.538
| Scheme | Marks |
|---|---|
| M1 | |
| \(\dfrac{4}{43}\) | A1 |
| (2) | |
| (6 marks) |
Notes
M1: For \(\dfrac{4}{n}\) (\(n \gt 4\)) or \(\dfrac{m}{43}\) (\(m \lt 43\))
A1: Correct probability (allow 0.093(02...))
NB:penalise incorrect notation in (b) and (c) once only