4MA0 Foundation January 2018 Paper 1R Q10
10 Jim puts 4 white tiles and 3 grey tiles into a bag.
Each tile has a letter on it.

Jim takes at random a tile from the bag.
(a) Write down the letter that Jim is most likely to take. (1)
(b) Write down the probability that the tile is grey with the letter C on it. (1)
(c) Write down the probability that the tile does not have the letter A on it. (1)
Jim puts the tile back into the bag.
He then puts more grey tiles into the bag.
Each of these tiles has the letter C on it.
Alice takes at random a tile from the bag.
The probability that this tile has the letter C on it is \(\dfrac{1}{2}\)
(d) Work out the probability that the tile Alice takes is grey with the letter C on it. (2)
| Scheme | Marks |
|---|---|
| B | B1 |
| (1) |
| Scheme | Marks |
|---|---|
| \(\dfrac{1}{7}\) | B1 |
| (1) |
| Scheme | Marks |
|---|---|
| \(\dfrac{5}{7}\) | B1 |
| (1) |
| Scheme | Marks |
|---|---|
\(0.5 = \dfrac{5}{10}\) so 3 grey tiles with C Total of 4 grey tiles | M1 |
| \(\dfrac{4}{10}\) | A1 |
| (2) |
Notes
M1: for \(\dfrac{5}{10}\) or 3
A1: oe