Foundation June 2025 Paper 3 Q17
17 120 students are asked if they have a skateboard or a scooter.
37 of the students have a skateboard.
21 of the students who have a skateboard also have a scooter.
65 of the students have a scooter.
(a) Use this information to complete the frequency tree.
One of the 120 students is chosen at random.
(b) Find the probability that this student does not have a skateboard. (1)
| Answer | Mark | Mark scheme |
|---|---|---|
| 37, 83 21, 16, 44, 39 | B3 | for a fully correct frequency tree |
| (B2 | for at least 4 correct values in the frequency tree) | |
| (B1 | for at least 1 correct value in the frequency tree) |
Additional guidance
If probabilities used instead of frequencies then maximum of B2 can be awarded
| Answer | Mark | Mark scheme |
|---|---|---|
| \(\dfrac{83}{120}\) | B1 | for \(\dfrac{83}{120}\) oe or ft from frequency tree |
Additional guidance
Accept equivalent fraction or decimal or percentage forms of probability eg 0.69(…) or 69(…)%