Foundation June 2017 Paper 2 Q17
17 The table shows the probabilities that a biased dice will land on 2, on 3, on 4, on 5 and on 6
| Number on dice | 1 | 2 | 3 | 4 | 5 | 6 |
|---|---|---|---|---|---|---|
| Probability | 0.17 | 0.18 | 0.09 | 0.15 | 0.1 |
Neymar rolls the biased dice 200 times.
Work out an estimate for the total number of times the dice will land on 1 or on 3 (3)
| Answer | Mark | Notes |
|---|---|---|
| 98 | P1 | for process to find P(1), e.g. \(1 - 0.17 - 0.18 - 0.09 - 0.15 - 0.1\ (= 0.31)\) or for a process to find P(1 or 3), e.g. \(1 - 0.17 - 0.09 - 0.15 - 0.1\ (= 0.49)\) |
| P1 | for process to find the number of 3s, e.g. \(0.18 \times 200\ (=36)\) or process to find the number of 1s, e.g. \(\text{P}(1) \times 200\ (= 62)\), or process to find the number of (1 or 3)s, eg \([\text{P}(1) + 0.18] \times 200\) or process to find any expected frequency, using any probability \(\times\, 200\), eg \(0.17 \times 200\) | |
| A1 | cao | |
| OR | ||
| 98 | P1 | for process to find P(2 or 4 or 5 or 6), eg \(0.17 + 0.09 + 0.15 + 0.1\ (= 0.51)\) |
| P1 | for process to find the number of (2 or 4 or 5 or 6)’s, eg \(\text{``}0.51\text{''} \times 200\ (= 102)\) | |
| A1 | cao |