1MA0 Higher June 2015 Paper 1 Q11
11 Karl wants to raise money for charity.
He designs a game for people to play.
Karl uses a fair 10-sided dice for the game.
The dice is numbered from 1 to 10
Each person will roll the dice once.
A person wins the game if the dice lands on a multiple of 4
Ali plays the game once.
(a) Work out the probability that Ali will win the game. (2)
Each person pays 30p to play the game once.
The prize for a win is £1
Karl thinks that the game will be played 100 times.
(b) Work out an estimate for how much money Karl will raise for charity. (3)
| Answer | Mark | Notes |
|---|---|---|
| \(\dfrac{2}{10}\) | 2 | M1 for \(\dfrac{2}{a}\) with \(a \gt 2\) or \(\dfrac{b}{10}\) with \(b \lt 10\) A1 for \(\dfrac{2}{10}\) oe |
| Answer | Mark | Notes |
|---|---|---|
| £10 or 1000p | 3 | M1 for \(\text{``}\dfrac{2}{10}\text{''} \times 100\) (= 20) or 30(p) × 100 (= 3000p or £30) M1 (dep) for "30(p) × 100" – (£)1 × “20” oe A1 ft from (a), provided the answer is not negative. Units must be shown |