4MA0 Higher June 2016 Paper 4 Q21
21 Each student in a group of 32 students was asked the following question.
“Do you have a desktop computer (\(D\)), a laptop (\(L\)) or a tablet (\(T\))?”
Their answers showed that
19 students have a desktop computer
17 students have a laptop
16 students have a tablet
9 students have both a desktop computer and a laptop
11 students have both a desktop computer and a tablet
7 students have both a laptop and a tablet
5 students have all three.
One of the students with both a desktop computer and a laptop is chosen at random.
| Scheme | Marks |
|---|---|
 | M1 |
| M1 | |
| A1 | |
| (3) |
Notes
M1: For 5 in the middle and 1 from 4(\(D \cap L \cap T'\)) or 2(\(L \cap T \cap D'\)) or 6(\(D \cap T \cap L'\))
M1: For any 4 correct entries
A1: For all correct including 2 outside the circles inside the rectangle
| Scheme | Marks |
|---|---|
| \(\dfrac{5}{9}\) | B1 |
| (1) |
Notes
B1: ft from incorrect diagram