4MA0 Higher June 2013 Paper 3R Q1
1 A box contains some coloured cards.
Each card is red or blue or yellow or green.
The table shows the probability of taking a red card or a blue card or a yellow card.
| Card | Probability |
|---|---|
| Red | 0.3 |
| Blue | 0.35 |
| Yellow | 0.15 |
| Green |
George takes at random a card from the box.
(a) Work out the probability that George takes a green card. (2)
George replaces his card in the box.
Anish takes a card from the box and then replaces the card.
Anish does this 40 times.
(b) Work out an estimate for the number of times Anish takes a yellow card. (2)
| Scheme | Marks |
|---|---|
| 1 − (0.3 + 0.35 + 0.15) | M1 |
| 0.2 oe | A1 |
| (2) |
Notes
M1: for a complete method
A1: for 0.2 oe as a fraction or percentage eg.20%, \(\dfrac{1}{5}\) etc.
| Scheme | Marks |
|---|---|
| 0.15 x 40 oe | M1 |
| 6 | A1 |
| (2) |
Notes
A1: cao
NB. An answer of \(\dfrac{6}{40}\) scores M1 A0