Higher November 2023 Paper 3 Q26
26 In a game, these numbered tiles are in a bag.
| To play the game Choose tiles at random one at a time and do not replace the tiles. You win if at any stage the total of the numbers on your tiles is 10 |
Amber plays the game once.
Work out the probability that she wins. [4 marks]
| Answer | Mark | Comments |
|---|---|---|
| \(\dfrac{4}{8} \times \dfrac{3}{7}\) or \(\dfrac{12}{56}\) or \(\dfrac{3}{14}\) | M1 | oe fractions or decimals probability of first two discs being 5s |
| \(\dfrac{4}{8} \times \dfrac{2}{7} \times \dfrac{1}{6}\) or \(\dfrac{8}{336}\) or \(\dfrac{1}{42}\) | M1 | oe fractions or decimals probability of one 5, one 3 and one 2 |
| \(6 \times\) their \(\dfrac{1}{42}\) or \(\dfrac{1}{7}\) | M1dep | oe fraction or decimal probability of three discs with a total of 10 dep on 2nd M1 accept 3! for 6 |
| \(\dfrac{5}{14}\) or 0.357(1…) or 35.7(1…)% | A1 | oe fraction, decimal or percentage allow 0.36 or 36% with M3 awarded |
Additional guidance
For M marks allow decimals rounded to 2 dp or better
Ignore incorrect simplification or conversion after correct answer seen