4MA0 Higher June 2016 Paper 4R Q15
15 Naveed has two bags of tiles, bag A and bag B.
There are 10 tiles in bag A.
7 of these tiles are red.
The other 3 tiles are white.
There are 8 tiles in bag B.
5 of these tiles are red.
The other 3 tiles are white.
Naveed takes at random one tile from each bag.
(a) Work out the probability that the tiles are the same colour. (3)
All 18 tiles are put in a box.
Naveed takes at random one tile from the box.
He does not replace the tile.
Naveed then takes at random a second tile from the box.
(b) Work out the probability that both tiles are red. (2)
| Scheme | Marks |
|---|---|
| \(\dfrac{7}{10} \times \dfrac{5}{8} + \dfrac{3}{10} \times \dfrac{3}{8}\) | M1 |
| M1 | |
| \(\dfrac{44}{80}\) | A1oe |
| (3) |
Notes
M1: for one correct product
M1: for both correct products (and no others) added
A1oe: (55% or 0.55)
| Scheme | Marks |
|---|---|
| \(\dfrac{12}{18} \times \dfrac{11}{17}\) | M1 |
| \(\dfrac{132}{306}\) | A1oe |
| (2) |
Notes
M1: Correct product
A1oe: Accept 0.43(137...) rounded or truncated to at least 2SF