Higher November 2023 Paper 2 Q15
15 A bag contains discs.
| Trial A disc is chosen at random from the bag. The colour of the disc is noted. The disc is put back into the bag. |
The trial is carried out 100 times.
The table shows the relative frequency of a blue disc after every 25 trials.
| Total number of trials | 25 | 50 | 75 | 100 |
|---|---|---|---|---|
| Relative frequency of a blue disc | 0.4 | 0.36 | 0.4 | 0.32 |
(a) For the trials from the 26th to the 50th, how many times was a blue disc chosen? [2 marks]
(b) There is a total of 1000 discs in the bag.
Work out the best estimate of the number of blue discs in the bag. [1 mark]
| Answer | Mark | Comments |
|---|---|---|
| \(0.4 \times 25\) or 10 or \(0.36 \times 50\) or 18 | M1 | oe may be seen by the table |
| 8 | A1 |
Additional guidance
The first M1 may be awarded for correct work with no answer or incorrect answer, even if this is seen amongst multiple attempts
| Answer | Mark | Comments |
|---|---|---|
| 320 | B1 |