Foundation November 2024 Paper 1 Q11
11 500 people were asked what type of film they liked best.
280 of the 500 people were adults.
100 of the adults said they liked action films best.
80 of the children said they liked thriller films best.
150 of the people said they liked action films best.
200 of the people said they liked comedy films best.
(a) Complete the two-way table.
(3)
| Comedy | Thriller | Action | Total | |
|---|---|---|---|---|
| Adults | ||||
| Children | ||||
| Total | 500 |
One of these 500 people is chosen at random.
(b) Find the probability that this person is an adult who said they liked action films best. (2)
| Answer | Mark | Mark scheme | ||||||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| C3 | for a fully correct table | ||||||||||||
| (C2 | for 6 or 7 or 8 or 9 or 10 correct entries) | |||||||||||||
| (C1 | for 3 or 4 or 5 correct entries) |
| Answer | Mark | Mark scheme |
|---|---|---|
| \(\dfrac{100}{500}\) | M1 | for \(\dfrac{a}{500}\) where \(0 \lt a \lt 500\) or for \(\dfrac{100}{b}\) where \(100 \lt b \leqslant 500\) or ft their table |
| A1 | for \(\dfrac{100}{500}\) oe or ft their table |
Additional guidance
100:500 scores M1A0
For M1 ft their table this is for \(\dfrac{\textit{their}\text{ value of adult action from table}}{c}\) where their value of action adult \(\lt c \leqslant 500\)
For A1 ft their table is for \(\dfrac{\textit{their}\text{ value of adult action from table}}{500}\)