Higher June 2023 Unit 2 Q2
2. A large number of prize tokens are placed in a box.
The tokens are identical in shape and size.
Gold, Silver, Bronze or No Prize is written on each token.
One token is chosen at random from the box.
The table below shows the probability of choosing a Gold prize token and the probability of choosing a Silver prize token.
| Token | Gold | Silver | Bronze | No Prize |
|---|---|---|---|---|
| Probability | 0·02 | 0·18 |
(a) There are three times as many No Prize tokens in the box as there are Bronze prize tokens.
Complete the table. [2]
Complete the table. [2]
(b) There are 15 Gold prize tokens in the box.
How many Silver prize tokens are there in the box? [2]
How many Silver prize tokens are there in the box? [2]
| Scheme | Marks | Comments |
|---|---|---|
| P(Bronze) = 0·2 AND P (No Prize) = 0·6 or equivalent | B2 | The values in the table take precedence. Award B1 for one of the following:
|
Corrected by Westie's Workshop
- The board's mark scheme printed “The values in the table takes precedence.”. Changed to “The values in the table take precedence.” because “values” is plural, so the verb needs to be “take”.
Original: see the board's mark scheme PDF (link above).
| Scheme | Marks | Comments |
|---|---|---|
| 15 ÷ 0·02 × 0·18 or 15 × 9 or equivalent | M1 | Must be for a complete method e.g.
|
| = 135 | A1 | Award M1 A1 for a final answer of 15 : 135. Sight of 135 as a numerator in a fraction < 1 implies M1A0. |