Foundation June 2022 Paper 2R Q12
12 Mario is going to play two games on Saturday.
He will play one game on Saturday morning and one game on Saturday afternoon.
The following table shows the games from which he is going to choose.
| Morning | Afternoon |
|---|---|
| Bridge (B) | Ludo (L) |
| Chess (C) | Mahjong (M) |
| Draughts (D) | Snakes and ladders (S) |
(a) Write down all the possible combinations of games that Mario can play on Saturday. (2)
Mario asked 100 students in his school to name their favourite card game.
His results are shown in the two-way table below.
| Solitaire | Rummy | Whist | Total | |
|---|---|---|---|---|
| Year 10 | 30 | 19 | 4 | 53 |
| Year 11 | 17 | 18 | 12 | 47 |
| Total | 47 | 37 | 16 | 100 |
One of the students Mario asked is picked at random.
(b) Write down the probability that this student is in Year 11 (1)
One of the Year 10 students is picked at random.
(c) Work out the probability that this student did not answer Whist. (2)
| Scheme | Marks |
|---|---|
| BL, BM, BS CL, CM, CS DL, DM, DS | B2 |
| (2) |
Notes
B2: for all 9 combinations with no extras or repeats
(B1 for at least 4 correct combinations (ignoring repeats))
| Scheme | Marks |
|---|---|
| \(\dfrac{47}{100}\) | B1 |
| (1) |
Notes
B1: oe
| Scheme | Marks |
|---|---|
| \(\dfrac{49}{53}\) | B2 |
| (2) | |
| (5 marks) |
Notes
B2: oe accept 0.9245... or 92(.45...)%
(B1 for \(\dfrac{c}{53}\) where \(c \lt 53\) or \(\dfrac{49}{d}\) where \(d \gt 49\))