Foundation November 2017 Paper 2 Q21
21 An experiment is carried out 200 times.
The possible outcomes are K, L and M.
(a) Complete the table. [2 marks]
| Outcome | K | L | M |
|---|---|---|---|
| Frequency | 84 | 54 | |
| Relative frequency | 0.42 |
(b) Altogether, the experiment is carried out 500 times.
How many times would you expect the outcome to be K? [2 marks]
| Answer | Mark | Comments | |||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|
| B2 | oe B1 0.27 oe for relative frequency of L or 0.31 oe for relative frequency of M or B1ft ft their 62 \(\div\) 200 for relative frequency of M |
Additional guidance
| B1ft |
| Answer | Mark | Comments |
|---|---|---|
| Alternative method 1 | ||
| \(500 \times 0.42\) or \(84 \times \dfrac{500}{200}\) or \(84 \times 2 + 84 \div 2\) or 168 + 42 | M1 | oe |
| 210 | A1 | |
| Alternative method 2 | ||
| \(300 \times 0.42 + 84\) or 126 + 84 | M1 | oe |
| 210 | A1 | |
Additional guidance
| \(\dfrac{210}{500}\) | M1A0 |
| Embedded answer eg \(210 \div 500 = 0.42\), answer 0.42 | M1A0 |
| Misread of working out L or M (must see method) eg L: \(500 \times\) their 0.27 or \(54 \times \dfrac{500}{200}\) eg M: \(500 \times\) their 0.31 or their \(62 \times \dfrac{500}{200}\) | M1A0 |
| Build up steps must be correct or have fully correct method shown for any incorrect steps | |
| eg1 200 = 84, 400 = 164, 100 = 42, Answer 206 | M0A0 |
| eg2 200 = 84, 400 = \(84 \times 2\) = 164, 100 = 42, Answer 206 | M1A0 |