4400 Higher November 2010 Paper 3 Q17
17 Here is a fair dice.
It has six faces numbered 1, 2, 3, 4, 5 and 6
The dice shows a score of 6
Hari throws the dice three times.
(a) Work out the probability that the sum of the scores is 3 (2)
(b) Work out the probability that the dice shows a score of 1 on exactly one of the three throws. (3)
| Scheme | Marks |
|---|---|
| \(\left(\frac{1}{6}\right)^3\) | M1 |
| \(\frac{1}{216}\) oe | A1 |
| (2) |
Notes
A1: (or 0.00463 or better)
| Scheme | Marks |
|---|---|
| \(\frac{1}{6} \times \left(\frac{5}{6}\right)^2\) | M1 |
| \(3 \times \frac{1}{6} \times \left(\frac{5}{6}\right)^2\) | M1 |
| \(\frac{75}{216}\) oe | A1 |
| (3) | |
| (5 marks) |
Notes
M1: 1 correct combination 1, ~1, ~1
M1: oe
A1: \(\frac{25}{72}\) (or 0.347 or better)