Foundation November 2024 Paper 3 Q19
19 Kai spins a fair five-sided spinner.
The sectors of the spinner are numbered 1, 2, 3, 4 and 5.
Kai also throws a fair four-sided dice.
Two of the dice faces are red, one is blue, and one is yellow.
(a) Complete this tree diagram.
[3]
(b) Calculate the probability that Kai gets an even number on the spinner and a blue face on the dice. [2]
| Answer | Marks | Part marks and guidance | |
|---|---|---|---|
| Odd: \(\dfrac{3}{5}\) oe After Even: Red \(\dfrac{2}{4}\) oe Yellow \(\dfrac{1}{4}\) oe After Odd: Red \(\dfrac{2}{4}\) oe Yellow \(\dfrac{1}{4}\) oe | 3 | B2 for all red and yellow correct or B1 for \(\dfrac{3}{5}\) correctly placed B1 for both red or both yellow correct | Accept equivalent fractions or decimals 0.6, 0.5 and 0.25 or 60%, 50% and 25% red \(\dfrac{2}{4}\) oe yellow \(\dfrac{1}{4}\) oe |
| Answer | Marks | Part marks and guidance | |
|---|---|---|---|
| \(\dfrac{1}{10}\) oe | 2 | M1 for \(\dfrac{2}{5} \times \dfrac{1}{4}\) oe | Accept 0.1 and 10% and equivalent fractions e.g. \(\dfrac{2}{20}\) M1 do not accept \(40\% \times 25\%\) |