4MA0 Higher June 2015 Paper 3 Q20
20 Leonidas has a fair dice.
He throws the dice twice.
(a) Work out the probability that he gets the number 5 both times. (2)
Alicia has a fair dice.
She throws the dice 3 times.
(b) Work out the probability that she gets the number 5 exactly once. (3)
| Scheme | Marks |
|---|---|
| \(\dfrac{1}{6} \times \dfrac{1}{6}\) | M1 |
| \(\dfrac{1}{36}\) oe | A1 |
| (2) |
Notes
A1: or 0.0277… rounded or truncated to 2 or more sig figs
| Scheme | Marks |
|---|---|
| \(\dfrac{5}{6} \times \dfrac{5}{6} \times \dfrac{1}{6}\) oe \(\left(= \dfrac{25}{216}\right)\) | M1 |
| \(3 \times \dfrac{5}{6} \times \dfrac{5}{6} \times \dfrac{1}{6}\) oe | M1 |
| \(\dfrac{25}{72}\) oe | A1 |
| (3) |
Notes
A1: or 0.34722… rounded or truncated to 2 or more sig figs