4MA0 Foundation January 2015 Paper 1R Q11
11 Here is a fair 6-sided spinner.
The sections of the spinner are labelled 1, 3, 4, 5, 8, 9
Hamid spins the spinner once.
(a) Write down the probability that the spinner will land on
(i) 3
(ii) 2
(iii) a number less than 7
(3)Hamid also has a biased dice.
The probability that the dice will land on the number 6 is 0.7
(b) Find the probability that the dice will not land on the number 6 (1)
Hamid throws the dice 80 times.
(c) Work out an estimate for the number of times that the dice will land on the number 6 (2)
| Scheme | Marks |
|---|---|
| (i) \(\dfrac{1}{6}\) | B1 |
| (ii) 0 | B1 |
| (iii) \(\dfrac{4}{6}\) | B1 |
| (3) |
Notes
B1: for \(\dfrac{1}{6}\) oe accept decimal truncated or rounded to 2 decimal places
B1: Also accept \(\dfrac{0}{6}\), \(\dfrac{0}{1}\) do not accept any other denominator
B1: for \(\dfrac{4}{6}\) oe accept decimal truncated or rounded to 2 decimal places
| Scheme | Marks |
|---|---|
| 1 − 0.7 Answer: 0.3 | B1 |
| (1) |
| Scheme | Marks |
|---|---|
| 80 × 0.7 | M1 |
| 56 | A1 |
| (2) | |
| (6 marks) |
Notes
A1: NB. an answer of \(\frac{56}{80}\) scores M1 A0