Higher November 2021 Paper 1 Q5
5. A running club has 125 members.
Each member is either a sprinter, a middle-distance runner or a long-distance runner.
82 members are seniors.
45 members are long-distance runners and 5 of these are juniors.
28 members are senior middle-distance runners.
There are 3 more junior sprinters than senior sprinters.
A person is selected at random from the club.
Find the probability that this person is a junior middle-distance runner.
Use this table to help you. [5]
| Sprinter | Middle-distance runner | Long-distance runner | Total | |
|---|---|---|---|---|
| Senior | ||||
| Junior | ||||
| Total |
| Scheme | Marks | Comments | ||||||||||||||||||||||||||||||||||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| B4 | Mark to the candidate’s advantage Award B4 if 21 is in the cell for Junior middle distance runners and there are no incorrect entries in the table OR B2 for the given information correctly placed (shaded cells) or B1 for any 3 of these correct and B2 for the necessary unshaded cells correct or B1 for any 2 of these correct; ignore entries in the empty cells Allow 125 omitted but do not ignore an error if the value written in this cell is wrong | ||||||||||||||||||||||||||||||||||||||||
| \(\dfrac{21}{125}\) | B1 | FT \(\dfrac{\text{‘their derived 21’}}{125}\); denominator must be 125; and in a fraction <1; ignore attempts to convert to other forms e.g. decimal or ratio; | ||||||||||||||||||||||||||||||||||||||||
| (5) |