Foundation June 2022 Paper 2 Q20
20 Jose and Maria each take a test.
The probability that Jose passes is 0.8
The probability that Maria passes is 0.4
(a) Complete the tree diagram. [2 marks]
(b) Work out the probability that they both pass. [1 mark]
| Answer | Mark | Comments |
|---|---|---|
| 0.2 on Jose not pass | B1 | oe fraction, decimal or percentage |
| 0.4 on Maria pass and 0.6 on Maria not pass twice | B1 | oe fraction, decimal or percentage |
| Answer | Mark | Comments |
|---|---|---|
| 0.32 or \(\dfrac{32}{100}\) or \(\dfrac{16}{50}\) or \(\dfrac{8}{25}\) or 32% | B1 | oe fraction, decimal or percentage |
Additional guidance
| Ignore simplification or conversion if correct answer seen | |
| eg1 \(\dfrac{32}{100}\) seen Answer \(\dfrac{3}{10}\) | B1 |
| eg2 \(\dfrac{32}{100}\) seen Answer 3.2% | B1 |
| Ignore words if correct answer seen | |
| eg1 \(\dfrac{32}{100}\) seen Answer 32 out of 100 | B1 |
| eg2 0.32, unlikely | B1 |
| Answer given as ratio (even if correct answer also seen) eg 32 : 100 | B0 |
| Answer only in words eg 32 out of 100 | B0 |
| Only 32 (without %) | B0 |