Foundation January 2022 Paper 1 Q6
6 Bohai works in a shop that sells mobile phones.
Last week he sold one mobile phone to each of 300 customers.
The incomplete two-way table shows some information about these mobile phones.
| 32 GB | 64 GB | 128 GB | Total | |
|---|---|---|---|---|
| type A | 75 | 83 | 195 | |
| type B | 29 | |||
| Total | 127 | 300 |
(a) Complete the two-way table. (3)
Bohai selects at random one of these 300 customers.
(b) Write down the probability that this customer bought a type B, 64 GB mobile phone. (1)
Bohai now selects at random one of the customers who bought a type A phone last week.
(c) Write down the probability that this customer bought a 128 GB mobile phone. (2)
| Scheme | Marks | ||||||||||||||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| B3 | ||||||||||||||||||||
| (3) |
Notes
B3: For all correct entries
(B2 for 4 or 5 correct entries)
(B1 for 2 or 3 correct entries)
| Scheme | Marks |
|---|---|
| \(\dfrac{29}{300}\) | B1 |
| (1) |
Notes
B1: oe eg 0.096(666…)
| Scheme | Marks |
|---|---|
| \(\dfrac{83}{195}\) | B2 |
| (2) | |
| (6 marks) |
Notes
B2: oe eg 0.42(564…)
(B1 for \(\dfrac{83}{m}\) where \(m \gt 83\) or \(\dfrac{n}{195}\) where \(n \lt 195\))