4MA0 Foundation June 2014 Paper 1R Q9
9 Three rectangular cards are numbered 1, 3 and 5
Sanjay takes at random one of these cards.
Three circular cards are numbered 2, 3 and 4
Shondra takes at random one of these circular cards.
Amrit has all six cards.
She takes at random one rectangular card and one circular card.
She adds together the numbers on the two cards to find the total for these two cards.
Three totals have been done for you.
| Number on rectangular card | ||||
|---|---|---|---|---|
| 1 | 3 | 5 | ||
| Number on circular card | 2 | 3 | ||
| 3 | 8 | |||
| 4 | 5 | |||
| Scheme | Marks |
|---|---|
(i) Answer: \(\dfrac{1}{3}\) | B1 |
| (ii) Answer: 0 | B1 |
| (2) |
Notes
B1: Allow 0.33 (at least 2DP)
B1: Allow \(\dfrac{0}{3}\) but no other fractions
Accept probabilities as fractions, percentages or decimals. If any other form is seen, penalise ONCE only in this question, the first time it occurs.
| Scheme | Marks |
|---|---|
| \(\dfrac{2}{3}\) | B1 |
| (1) |
Notes
B1: Allow 0.66… or 0.67
Accept probabilities as fractions, percentages or decimals. If any other form is seen, penalise ONCE only in this question, the first time it occurs.
| Scheme | Marks |
|---|---|
| 5, 7 4, 6 7, 9 | B2 |
| (2) |
Notes
B2: Award B1 for any three correct.
Accept probabilities as fractions, percentages or decimals. If any other form is seen, penalise ONCE only in this question, the first time it occurs.
| Scheme | Marks |
|---|---|
(i) Answer: \(\dfrac{1}{9}\) | B1 |
(ii) Answer: \(\dfrac{4}{9}\) | B1 |
| (2) | |
| (Total 7 marks) |
Notes
B1: Allow 0.11 (at least 2DP)
ft from their complete table. Isw if correct answer seen, unless contradicted.
B1: Allow 0.44 (at least 2DP)
ft from their complete table dependent on at least one more 5 or 7 present in table.
Accept probabilities as fractions, percentages or decimals. If any other form is seen, penalise ONCE only in this question, the first time it occurs.