4MA0 Foundation January 2017 Paper 1R Q7
7 Here are 8 cards.
Each card has a letter on it.
Malik takes at random one of these cards.
| impossible | unlikely | evens | likely | certain |
(a) Write down the word from the box that best describes the likelihood that Malik takes
(i) a card with the letter B,
(ii) a card with the letter D.
(2)(b) Find the probability that Malik takes a card with the letter A. (2)
Sunil has two sets of cards, Set 1 and Set 2
Each card has a letter on it.
Sunil takes one card from Set 1
He then takes one card from Set 2
(c) List all the possible combinations of cards he could get. (2)
| Scheme | Marks |
|---|---|
| (i) unlikely | B1 |
| (ii) impossible | B1 |
| (2) |
| Scheme | Marks |
|---|---|
| M1 | |
| \(\dfrac{3}{8}\) | A1 |
| (2) |
Notes
M1: for \(\dfrac{a}{8}\) with \(a \lt 8\) or \(\dfrac{3}{b}\) with \(b \gt 3\)
| Scheme | Marks |
|---|---|
| M1 | |
| E,W E,X F,W F,X G,W G,X | A1 |
| (2) | |
| (6 marks) |
Notes
M1: for at least 3 correct pairs (ignore repeats)
A1: for all 6 pairs with no repeats