Higher June 2025 Paper 1 Q14
14 Ricardo is going to play one game of badminton and one game of tennis.
He can either win or lose each game.
The probability that he will win the game of badminton is 0.7
The probability that he will win the game of tennis is 0.4
(a) Complete the probability tree diagram. (2)
(b) Work out the probability that Ricardo loses both games. (2)
| Scheme | Marks |
|---|---|
 Answer: Correct probabilities | B2 |
| (2) |
Notes
B2: for all 3 correct pairs of probabilities on the correct branches
(B1 for 1 or 2 correct pairs of probabilities on the correct branches)
Allow equivalent fractions or percentages
| Scheme | Marks |
|---|---|
| “0.3” × “0.6” | M1ft |
| Correct answer scores full marks (unless from obvious incorrect working) Answer: 0.18 | A1ft |
| (2) | |
| (4 marks) |
Notes
M1ft: (Both probabilities must be less than 1)
A1ft: oe eg \(\dfrac{18}{100}\) or \(\dfrac{9}{50}\) or \(\dfrac{0.18}{1}\) or 18%
The printed mark scheme gives the total for this question as 3 marks; the parts are worth 2 + 2 = 4 marks (corrected from the printed mark scheme: “Total 3 marks”).